2025-08-21 15 min
Centrifugal Force Calculator
Calculate centrifugal force in rotating reference frames using F = mvآ²/r = mد‰آ²r. Includes g-force, centrifugal acceleration, and apparent weight.
Calculator
Mass(kg) Help
kg
Mass of the rotating object
Rotational Speed(RPM) Help
RPM
Revolutions per minute
Radius(m) Help
m
Distance from center of rotation
Decimal Precision
Results update live as you type
Results
Normal
Centrifugal Force
27415.57N
Apparent outward force F_cf = mد‰آ²r
Centrifugal Acceleration
5483.11m/sآ²
Outward acceleration a_cf = د‰آ²r
G-Force
559.12g
Ratio of centrifugal acceleration to gravity
Angular Velocity
104.72rad/s
Rotational speed in rad/s
Tangential Velocity
52.36m/s
Linear speed along the circular path
Apparent Weight
27464.60N
Weight in the rotating frame
Interactive Diagram
Formula
Centrifugal force is the apparent outward force experienced by objects in a rotating reference frame. It is equal in magnitude to centripetal force but opposite in direction within the rotating frame.
F_cf = m أ— vآ² / r = m أ— د‰آ² أ— r
Alternative Form
a_cf = د‰آ²r = vآ²/r
Variables
| Symbol | Name | Unit | Description |
|---|---|---|---|
| F_cf | Centrifugal Force | N | Apparent outward force in the rotating reference frame |
| m | Mass | kg | Mass of the object experiencing centrifugal force |
| v | Tangential Velocity | m/s | Linear speed of the object along the circular path |
| r | Radius | m | Distance from the center of rotation |
| د‰ | Angular Velocity | rad/s | Rotational speed in radians per second (د‰ = RPM أ— 2د€/60) |
| a_cf | Centrifugal Acceleration | m/sآ² | Outward acceleration in the rotating frame |
Explanation
From the perspective of an observer rotating with the system, objects appear to be pushed outward from the center. This apparent force arises because the rotating frame is non-inertial (accelerating). To apply Newton's second law in this frame, a fictitious outward force — the centrifugal force — must be introduced. Its magnitude equals the centripetal force: F_cf = mد‰آ²r = mvآ²/r.
Derivation
Starting from circular motion: v = د‰r. Centripetal acceleration: a_c = vآ²/r = د‰آ²r. In the rotating frame, the centrifugal force opposes this: F_cf = m أ— a_cf = mد‰آ²r. Substituting v = د‰r: F_cf = mvآ²/r. The g-force is: g-force = a_cf/g = د‰آ²r/g.
Step-by-Step Calculation
Follow each step to understand how the result is calculated from your inputs.
Step 1
Identify the mass m (kg), rotational speed (RPM), and radius r (m).
m = mass, RPM = rotational speed, r = radius
Result: Input values identified
Step 2
Convert RPM to angular velocity د‰ in rad/s.
د‰ = RPM أ— 2د€ / 60
RPM:revolutions per minute
Result: د‰ = angular velocity in rad/s
Step 3
Calculate centrifugal acceleration.
a_cf = د‰آ² أ— r
د‰:angular velocity
r:radius
Result: a_cf = centrifugal acceleration in m/sآ²
Step 4
Calculate the centrifugal force.
F_cf = m أ— a_cf = m أ— د‰آ² أ— r
m:mass
د‰:angular velocity
r:radius
Result: F_cf = centrifugal force in Newtons
Step 5
Calculate g-force and apparent weight.
g-force = a_cf / g, W_apparent = m أ— (g-force + 1) أ— g
g:9.80665 m/sآ²
Result: g-force (dimensionless), apparent weight in N
Final Answer
27415.57
Worked Examples
See how the calculator works with different scenarios.
Scenario
A 1500 kg car turns at 60 km/h (16.67 m/s) on a curve with 50 m radius. What centrifugal force does a 70 kg passenger experience?
Inputs
Mass:70 kg
Rotational Speed:318.3 RPM
Radius:50 m
Calculation
د‰ = v/r = 16.67/50 = 0.333 rad/s = 318.3 RPM. F_cf = 70 أ— 0.333آ² أ— 50 = 70 أ— 0.111 أ— 50 = 388.9 N
Result
F_cf = 388.9 N (≈ 0.56 g)
Interpretation
The passenger feels pushed outward with a force of about 389 N — roughly equivalent to 56% of their body weight. This is why you lean outward in a turning car. The friction between tires and road provides the centripetal force that keeps the car on its curved path.
Understanding Your Result
Your Result: Centrifugal Force: 27415.57 N
Typical range: Washing machine: 300-600 g. Laboratory centrifuge: 1,000-20,000 g. Gas centrifuge (uranium enrichment): 100,000-300,000 g. Earth's surface: 0.003 g at equator.
What This Means
The centrifugal force value represents the apparent outward force that an object would feel in a rotating reference frame. It is measured in Newtons (N) and is equal in magnitude to the centripetal force but directed outward from the center of rotation.
Why It Matters
Centrifugal force is critical in designing centrifuges, washing machines, turbine rotors, amusement park rides, and any system involving high-speed rotation. Understanding this apparent force helps engineers design safe rotating equipment and predict how objects behave in rotating frames.
Professional Interpretation
Compare the g-force against material strength limits and human tolerance. For rotating machinery, ensure centrifugal stress does not exceed the material's yield strength with an appropriate safety factor (typically 2-4 for high-speed rotors).
Recommendations
- •Always consider both the centrifugal force magnitude and the g-force when designing rotating systems
- •For human-rated systems, keep g-forces below 1-2 g for sustained exposure, 3-4 g for short durations
- •Account for material fatigue from repeated centrifugal loading cycles
- •Use appropriate safety factors (2-4أ—) for high-speed rotating components
- •Consider thermal effects on material strength in high-temperature rotating systems
Educational Content
Introduction
Centrifugal force is one of the most commonly referenced yet misunderstood concepts in physics. From Latin centrum (center) and fugere (to flee), it describes the apparent outward force experienced by objects in a rotating reference frame.
Concept Explanation
In an inertial (non-rotating) reference frame, only the inward centripetal force exists. However, when analyzing motion from a rotating perspective — like sitting on a merry-go-round — objects appear to fly outward. This apparent force is the centrifugal force. It is a fictitious (pseudo) force, meaning it arises from the acceleration of the reference frame itself, not from any physical interaction. The magnitude follows F_cf = mد‰آ²r = mvآ²/r, increasing quadratically with rotational speed and linearly with radius.
Applications
▸Centrifuge design for laboratory, medical, and industrial separation
▸Washing machine spin cycle optimization
▸Turbine and compressor blade stress analysis
▸Amusement park ride (gravitron, rotor) design
▸Gas centrifuge design for uranium enrichment
▸Sugar and cream separation in food processing
▸Analysis of rotating machinery imbalance forces
▸Understanding weather patterns (Coriolis effect in rotating frame)
Benefits
- •Provides intuitive understanding of forces in rotating systems
- •Enables analysis from the perspective of an observer in the rotating frame
- •Foundation for understanding centrifugal pumps, separators, and classifiers
- •Essential for designing safe high-speed rotating equipment
Limitations
- •Centrifugal force is not a real force — it exists only in non-inertial (rotating) reference frames
- •Cannot be measured by a force sensor in an inertial frame
- •The Coriolis force must also be included when objects move within the rotating frame
- •Over-reliance on centrifugal force analysis can lead to conceptual confusion with centripetal force
Best Practices
- •Always specify which reference frame you are analyzing in (inertial vs. rotating)
- •Remember: centrifugal force acts on the object, centripetal force is what keeps it in circular motion
- •For high-speed machinery, combine centrifugal force analysis with finite element stress analysis
- •Consider both steady-state and transient (spin-up/spin-down) centrifugal loading
- •Use proper safety factors — material failure under centrifugal loading can be catastrophic
Common Misconceptions
Myth: Centrifugal force is a real force like gravity or friction
Truth: Centrifugal force is a fictitious (pseudo) force that appears only in rotating reference frames. In an inertial frame, only the inward centripetal force exists. The outward "push" is due to inertia — objects want to travel in straight lines.
Myth: Centrifugal force and centripetal force are different forces
Truth: They are the same magnitude force described from different reference frames. Centripetal (inward) is the real force in the inertial frame. Centrifugal (outward) is the apparent force in the rotating frame. F_cf = F_c in magnitude.
Myth: You can feel centrifugal force on Earth's surface
Truth: At the equator, Earth's rotation produces only ~0.003 g of centrifugal acceleration — far too small to notice. This is why we don't feel Earth spinning, even though we are moving at ~1670 km/h at the equator.
Practical Tips
- •Use د‰ = RPM أ— 2د€/60 to convert RPM to angular velocity in rad/s before applying F = mد‰آ²r
- •Doubling the rotational speed quadruples the centrifugal force (د‰آ² relationship)
- •For separation applications, g-force is often more useful than absolute force — it directly indicates separation efficiency
- •At very high RPM, even small imbalances create enormous forces — dynamic balancing is essential
- •Remember: centrifugal force is proportional to both mass and radius, so heavier objects at larger radii experience the largest forces
Common Mistakes
Confusing centrifugal with centripetal force
In an inertial frame, only centripetal (inward) force exists. Centrifugal (outward) force appears only in the rotating reference frame. They are equal in magnitude but opposite in direction.
Using RPM directly in F = mد‰آ²r
RPM must be converted to angular velocity د‰ in rad/s first: د‰ = RPM أ— 2د€/60. Using RPM directly gives incorrect results by a factor of (2د€/60)آ² ≈ 0.01096.
Ignoring the quadratic speed relationship
Centrifugal force increases with the square of speed. Doubling RPM quadruples the force. This is the primary reason high-speed rotating machinery requires robust design.
Neglecting material stress from centrifugal forces
Rotating components experience centrifugal stress دƒ = دپد‰آ²rآ². This stress must be compared against the material's yield strength with an appropriate safety factor.
Assumptions
This calculator makes the following assumptions to provide estimates:
Point Mass: The mass is treated as a point mass at the given radius. For extended objects, the center of mass radius should be used.
Rigid Body: The rotating system is assumed rigid — no deformation due to centrifugal forces. In reality, flexible components deform outward at high speeds.
Steady-State Rotation: The calculation assumes constant rotational speed. During spin-up or spin-down, additional tangential (Coriolis) forces may be significant.
No Air Resistance: Air drag on the rotating object is neglected. At very high speeds, aerodynamic effects can be significant.
Uniform Gravity: Standard gravity g = 9.80665 m/sآ² is used. At extreme altitudes or on other planets, gravity differs.
Limitations
Be aware of these limitations when using this calculator:
Rotating Frame Only: Centrifugal force is defined only in the rotating reference frame. In an inertial frame, only centripetal force exists.
No Coriolis Effect: This calculator does not account for the Coriolis force, which affects objects moving radially within the rotating frame.
No Material Limits: Results do not include material strength analysis. Actual safe operating speeds depend on material properties and geometry.
Preliminary Analysis: Results are suitable for preliminary calculations and educational purposes. Final designs require detailed structural and dynamic analysis.
Frequently Asked Questions
Answers to common questions about this calculator.
What is centrifugal force?
Centrifugal force is an apparent (fictitious) force experienced outward in a rotating reference frame. From the perspective of someone rotating with the system, objects appear to be pushed outward away from the center. The magnitude is F_cf = mvآ²/r = mد‰آ²r. It is equal in magnitude but opposite in direction to centripetal force.
How do you calculate centrifugal force?
Use F = mvآ²/r or F = mد‰آ²r. For a 5 kg mass at 0.5 m radius rotating at 1000 RPM: د‰ = 1000 أ— 2د€/60 = 104.72 rad/s. F = 5 أ— (104.72)آ² أ— 0.5 = 5 أ— 10966 أ— 0.5 = 27,415 N. This is equivalent to about 559 times the weight of the mass (559 g).
Is centrifugal force a real force?
In an inertial (non-rotating) reference frame, centrifugal force does not exist — only centripetal force is real. Centrifugal force is a fictitious or pseudo-force that appears when analyzing motion from a rotating reference frame. It is needed to make Newton's laws work in the accelerating frame. However, the effects felt in rotating systems are very real to the observer.
What is the difference between centrifugal and centripetal force?
Centripetal force is real, directed inward toward the center, and acts on the object in circular motion. Centrifugal force is a fictitious outward force experienced in the rotating frame. They are equal in magnitude but opposite in direction. In an inertial frame: F_centripetal = mvآ²/r inward. In a rotating frame: F_centrifugal = mvآ²/r outward (apparent).
What is the g-force equivalent of centrifugal force?
The g-force is the ratio of centrifugal acceleration to Earth's gravity: g-force = د‰آ²r/g = vآ²/(rg). For a centrifuge at 3000 RPM with r = 0.15 m: a_c = (314.2)آ² أ— 0.15 = 14,800 m/sآ², g-force = 14,800/9.81 = 1510 g. This is why centrifuges are described as "1500 g" machines.
How do you convert RPM to angular velocity for centrifugal force?
د‰ = RPM أ— 2د€/60 = RPM أ— د€/30. For example: 1000 RPM = 1000 أ— 2د€/60 = 104.72 rad/s, 5000 RPM = 523.6 rad/s, 10,000 RPM = 1047.2 rad/s, 50,000 RPM = 5236 rad/s. Then use F = mد‰آ²r.
What is centrifugal force in a washing machine?
A washing machine drum spinning at 1000 RPM (104.7 rad/s) with radius 0.3 m: a_c = د‰آ²r = 104.7آ² أ— 0.3 = 3,289 m/sآ² ≈ 335 g. The water in wet clothes experiences this outward force, forcing it through the drum holes. Without it, clothes would come out soaking wet.
How do centrifuges separate mixtures?
Centrifuges use centrifugal force to separate components of different densities. The sedimentation force on particles: F_cf = (دپ_particle - دپ_fluid) أ— V أ— د‰آ²r, where V is particle volume. Denser particles move outward (to the pellet) while less dense components remain inward (supernatant). Industrial centrifuges achieve 10,000-100,000 g for fine separations.
What is the centrifugal force in a cream separator?
A cream separator spins milk at high speed (typically 5000-10,000 RPM). The centrifugal force causes denser skim milk (دپ ≈ 1035 kg/mآ³) to move outward while less dense cream (دپ ≈ 915 kg/mآ³) moves inward. At 6000 RPM with r = 0.1 m: a_c = (628.3)آ² أ— 0.1 = 39,480 m/sآ² ≈ 4025 g. This rapidly separates the components.
How does centrifugal force affect rotating machinery design?
Centrifugal forces create radial stresses in rotating components. For a turbine blade: F_cf = m أ— د‰آ² أ— r_cg, where r_cg is the center of gravity radius. These forces can be enormous — a 0.5 kg turbine blade at 15,000 RPM with r_cg = 0.3 m experiences F_cf = 0.5 أ— (1571)آ² أ— 0.3 = 370,000 N. Blades must be designed to withstand this.
What is the centrifugal force on a car wheel?
The wheel assembly and tire experience centrifugal force during rotation. A 0.2 kg imbalance at the tire tread (r = 0.3 m) at 100 km/h (د‰ ≈ 80 rad/s): F_cf = 0.2 أ— 80آ² أ— 0.3 = 384 N. This is why wheel balancing is essential — imbalance creates vibration and can damage suspension components at highway speeds.
How do you calculate the centrifugal force in a planetary centrifuge?
In a planetary centrifuge, the sample holder rotates about two axes. The total centrifugal acceleration is the vector sum of the primary rotation (د‰â‚پ, R_big) and secondary rotation (د‰â‚‚, r_small). For د‰â‚پ = 100 rad/s, R_big = 0.2 m: aâ‚پ = 100آ² أ— 0.2 = 2000 m/sآ². The secondary rotation may add or cancel depending on phasing.
What is the relationship between centrifugal force and rotational speed?
Centrifugal force is proportional to د‰آ². Doubling the rotational speed quadruples the centrifugal force. Tripling it multiplies the force by 9. This quadratic relationship means that increasing speed even modestly dramatically increases forces on rotating components. This is the primary design constraint in high-speed rotating machinery.
How does radius affect centrifugal force?
Centrifugal force is directly proportional to radius: F_cf ∠r. Doubling the radius (at the same RPM) doubles the force. In centrifuge design, larger radius rotors produce higher g-forces for the same RPM. However, larger radii also increase stress in the rotor material and require stronger, heavier construction.
What is the centrifugal force on an aircraft propeller tip?
A 2 m diameter propeller at 2500 RPM: tip radius = 1 m, د‰ = 261.8 rad/s. Tip acceleration: a_c = د‰آ²r = 261.8آ² أ— 1 = 68,540 m/sآ² ≈ 6990 g. The centrifugal force on a small blade tip element depends on its mass. The blade root must withstand the cumulative centrifugal force of the entire blade, often exceeding 50,000 N.
How is centrifugal force used in particle size classification?
Centrifugal classifiers separate particles by size using the balance of centrifugal force and drag force. Larger/denser particles experience higher centrifugal force and move outward; smaller/lighter particles are carried inward by airflow. Cut size dâ‚…â‚€ occurs when centrifugal force equals drag force: (د€/6)dآ³(دپ_p)د‰آ²r = 3د€خ¼dv_r.
What is the centrifugal force in a spin-dryer?
A commercial spin-dryer (salad spinner or industrial parts dryer) spins at moderate speeds. For a 0.15 m radius basket at 2000 RPM (د‰ = 209.4 rad/s): a_c = 209.4آ² أ— 0.15 = 6579 m/sآ² ≈ 671 g. The water experiences outward force and is ejected through the basket holes. Spin-drying is more energy-efficient than thermal drying.
How does centrifugal force affect blood separation?
Medical centrifuges spin blood tubes at 3000-5000 RPM to separate plasma, buffy coat, and red cells. The centrifugal force causes denser red blood cells (دپ ≈ 1100 kg/mآ³) to move outward (~55% of volume), while plasma (دپ ≈ 1025 kg/mآ³) remains inward. At 4000 RPM, r = 0.15 m: a_c = (418.9)آ² أ— 0.15 = 26,320 m/sآ² ≈ 2685 g.
What is the centrifugal force in a gas centrifuge for uranium enrichment?
Gas centrifuges for uranium enrichment spin UF₆ gas at extremely high speeds (50,000-100,000 RPM). The centrifugal force separates آ²آ³âپµUF₆ (lighter) from آ²آ³âپ¸UF₆ (heavier). At 70,000 RPM with r = 0.05 m: د‰ = 7330 rad/s, a_c = (7330)آ² أ— 0.05 = 2.69 أ— 10âپ¶ m/sآ² ≈ 274,000 g. The slight mass difference causes differential radial concentration.
How do you counterbalance centrifugal forces?
Rotating machinery is balanced to cancel net centrifugal forces. Static balancing: adjusting mass distribution so the center of mass is at the rotation axis. Dynamic balancing: correcting for couple imbalances that cause vibration. Balancing reduces bearing loads, vibration, and noise. Imbalance force: F_imb = m_u أ— e أ— د‰آ², where m_u is unbalance mass and e is eccentricity.
What is the centrifugal force on a DC motor rotor?
A DC motor rotor (armature) experiences centrifugal forces on windings and commutator segments. A 0.05 m radius rotor at 10,000 RPM (د‰ = 1047 rad/s): a_c = 1047آ² أ— 0.05 = 54,820 m/sآ² ≈ 5590 g. Windings must be securely bound to prevent them from flying outward. This limits maximum motor speed.
How does centrifugal force affect pump impellers?
In centrifugal pumps, the impeller uses centrifugal force on the fluid to increase pressure. The pressure rise is approximately خ”P = دپ أ— د‰آ² أ— (râ‚‚آ² - râ‚پآ²)/2. For water in a 0.2 m radius impeller at 1800 RPM (د‰ = 188.5 rad/s): خ”P = 1000 أ— 188.5آ² أ— (0.2آ² - 0.05آ²)/2 = 1000 أ— 35,530 أ— 0.0375 = 1.33 MPa (193 psi).
What is the centrifugal force in a disk coupling?
Disk couplings transmit torque through flexible disks that accommodate misalignment. Under rotation, centrifugal forces create radial stresses in the disks. At high speeds, these forces can exceed yield strength, limiting maximum RPM. The centrifugal stress in a thin disk: دƒ_cf = دپ أ— د‰آ² أ— rآ²/3 (solid), or دƒ_cf = دپ أ— د‰آ² أ— (3+خ½)rآ²/8 (with hole).
How does temperature affect centrifugal forces?
Temperature affects centrifugal force indirectly through: 1) Thermal expansion — increased radius at temperature increases F_cf (F ∠r), 2) Material strength reduction — hot materials have lower yield strength, reducing safe speed limits, 3) Density changes — thermal expansion reduces density slightly, decreasing mass and thus F_cf, 4) Differential expansion in composite rotors causing stress.
What is the maximum centrifugal force in a jet engine?
Jet engine fan blades experience extreme centrifugal forces. A fan blade at 10,000 RPM with root at r = 0.3 m and tip at r = 1.0 m: at the root, the cumulative centrifugal force from the blade mass outward can exceed 100,000 N per blade. For a 90-blade fan, the total centrifugal load on the disk exceeds 9 MN. Titanium alloys and composites are needed.
How do you calculate the critical speed from centrifugal force?
The critical speed of a rotating shaft is where the centrifugal force equals the restoring elastic force. The first critical speed: د‰_c = âˆڑ(k_eff / m_eq), where k_eff is effective stiffness and m_eq is equivalent mass. At critical speed, even small imbalances cause large deflections and potentially destructive vibration. Operating above critical speed requires sufficient damping.
What is the centrifugal force on a textile spinning rotor?
Textile spinning rotors (open-end spinning) rotate at 30,000-150,000 RPM. A rotor with r = 0.03 m at 100,000 RPM (د‰ = 10,472 rad/s): a_c = 10,472آ² أ— 0.03 = 3.29 أ— 10âپ¶ m/sآ² ≈ 335,000 g. The fiber sliver is centrifugally forced against the rotor groove wall, where twist is inserted. Rotor design must withstand extreme stresses.
How does centrifugal force relate to automobile turbochargers?
Turbocharger turbines and compressors spin at 100,000-250,000 RPM. A compressor wheel with r = 0.03 m at 150,000 RPM (د‰ = 15,708 rad/s): a_c = 15,708آ² أ— 0.03 = 7.40 أ— 10âپ¶ m/sآ² ≈ 754,000 g. The centrifugal force on the wheel creates enormous radial stresses, requiring exotic materials like Inconel or titanium alloys and precise manufacturing.
What is the centrifugal force in a sugar centrifuge?
Sugar centrifuges separate sugar crystals from molasses. A typical basket: r = 0.6 m, spinning at 1200 RPM (د‰ = 125.7 rad/s): a_c = 125.7آ² أ— 0.6 = 9,480 m/sآ² ≈ 967 g. The force drives molasses through the screen while sugar crystals are retained. Batch centrifuges process tonnes of sugar per hour.
How do you calculate the burst speed of a rotating ring from centrifugal force?
The burst speed occurs when centrifugal stress exceeds material tensile strength. For a thin rotating ring: دƒ = دپ أ— د‰آ² أ— rآ². Burst د‰ = âˆڑ(دƒ_ult/(دپ أ— rآ²)). For a steel ring (دƒ_ult = 1000 MPa, دپ = 7800 kg/mآ³, r = 0.1 m): د‰_burst = âˆڑ(10âپ¹/(7800 أ— 0.01)) = âˆڑ(12,820,513) = 3580 rad/s ≈ 34,180 RPM. Safety factors of 2-4 are applied.
What is the centrifugal force in a laboratory microcentrifuge?
A typical microcentrifuge spins 1.5-2 mL tubes at 13,000-15,000 RPM. With a rotor radius of 0.07 m at 14,000 RPM (د‰ = 1466 rad/s): a_c = 1466آ² أ— 0.07 = 150,400 m/sآ² ≈ 15,340 g. This packs cellular debris, DNA pellets, or protein precipitates into a compact pellet at the tube bottom in 10-30 minutes.
How does centrifugal force affect bearing loads in rotating machinery?
Centrifugal forces from rotating components are transmitted to bearings as radial loads. For an imbalanced rotor: F_radial = m_imbalance أ— e أ— د‰آ². For a 0.01 kg imbalance at 5 mm eccentricity, spinning at 10,000 RPM: F = 0.01 أ— 0.005 أ— (1047)آ² = 54.8 N. Bearing life is reduced by the cube of the load, so balancing is critical for bearing longevity.
What is the difference between centrifugal and Coriolis forces?
Both are fictitious forces in rotating frames. Centrifugal force: F_cf = -m أ— د‰ أ— (د‰ أ— r), directed radially outward, depends on position. Coriolis force: F_Cor = -2m(د‰ أ— v), depends on velocity relative to the rotating frame, direction perpendicular to both د‰ and v. Coriolis causes the apparent deflection of moving objects in rotating frames (e.g., weather patterns, missile trajectories).
Related Calculators
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Related Guides
Deepen your understanding with these educational resources.
MIT OCW Classical Mechanics
Free course materials covering Newton's laws and circular motion from MIT.
Engineering Toolbox — Fundamentals
Comprehensive engineering reference data for rotating machinery.
HyperPhysics — Circular Motion
Physics reference on circular motion, centripetal and centrifugal forces.
Glossary
Technical terms used in mortgage calculations explained in plain language.
- Centrifugal Force
- An apparent outward force experienced by objects in a rotating reference frame. Equal in magnitude to centripetal force but opposite in direction within the rotating frame.
- Centripetal Force
- The real inward-directed force required for circular motion, directed toward the center of rotation. Provided by tension, friction, gravity, or normal force.
- Angular Velocity (د‰)
- The rate of rotation in radians per second. Related to RPM by د‰ = RPM أ— 2د€/60.
- G-Force
- The ratio of centrifugal acceleration to standard gravitational acceleration (9.81 m/sآ²). A dimensionless quantity indicating how many times stronger than gravity the centrifugal acceleration is.
- Rotating Reference Frame
- A coordinate system that rotates with the object. Non-inertial frame where fictitious forces (centrifugal, Coriolis) appear.
- Fictitious Force
- A force that appears in non-inertial (accelerating) reference frames but does not arise from physical interactions. Also called pseudo-force or inertial force.
- Tangential Velocity
- The linear velocity of an object along the circular path. v = د‰r, measured in m/s.
- Apparent Weight
- The normal force exerted on an object, which equals its true weight plus the centrifugal force contribution in a rotating frame.
- Oblate Spheroid
- A sphere flattened at the poles. Earth is an oblate spheroid due to the centrifugal force from its rotation.
- Sedimentation
- The process of particles settling under centrifugal force. Used in centrifuges to separate mixtures by density.
Authoritative References
Trusted sources and standards referenced by this calculator.
NIST Reference on Constants, Units, and Uncertainty MIT OpenCourseWare — Classical Mechanics ASME — Rotating Equipment Standards Engineering Toolbox — Centrifugal Force HyperPhysics — Rotating Reference Frames Khan Academy — Centripetal Force and Gravitation
Applicable Standards
ISO 1940-1 (Balance quality of rotating rigid bodies)API 617 (Axial and centrifugal compressors)ASME PTC 10 (Performance test code for compressors)
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Last Updated:
2025-08-21
Version:
2.0.0
References:
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