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Centripetal Force Formula

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Centripetal Force is the inward force required to keep an object moving in a circular path. Check FAQs

F C = \frac{M \cdot v^{2}}{r}

F_C - Centripetal Force?M - Mass?v - Velocity?r - Radius?

Centripetal Force Example

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Here is how the Centripetal Force equation looks like with Values.

Here is how the Centripetal Force equation looks like with Units.

Here is how the Centripetal Force equation looks like.

21984.9083 = \frac{35.45 \cdot 61^{2}}{6}

21984.9083N = \frac{35.45kg \cdot {61m/s}^{2}}{6m}

21984.9083 = \frac{35.45 \cdot 61^{2}}{6}

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Centripetal Force Solution

Follow our step by step solution on how to calculate Centripetal Force?

FIRST Step Consider the formula

F C = \frac{M \cdot v^{2}}{r}

Next Step Substitute values of Variables

∴

F C = \frac{35.45kg \cdot {61m/s}^{2}}{6m}

Next Step Prepare to Evaluate

∴

F C = \frac{35.45 \cdot 61^{2}}{6}

Next Step Evaluate

∴

F C = 21984.9083333333N

LAST Step Rounding Answer

∴

F C = 21984.9083N

Centripetal Force Formula Elements

Variables

Centripetal Force

Centripetal Force is the inward force required to keep an object moving in a circular path.

Symbol: F_C

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Centripetal Force

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Velocity

Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity

Radius

Radius typically refers to the distance from the center of a circle or sphere to its outer edge or surface.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius

Other formulas in Circular Motion category

Go Angular Displacement

θ = \frac{s cir}{R curvature}

Go Angular Speed

ω = \frac{θ}{t total}

Go Speed of Object in Circular Motion

V = 2 \cdot π \cdot r \cdot f

How to Evaluate Centripetal Force?

Centripetal Force evaluator uses Centripetal Force = (Mass*Velocity^2)/Radius to evaluate the Centripetal Force, Centripetal Force formula is defined as the net force required to keep an object moving in a circular path, resulting from the interaction between the object's mass, velocity, and the radius of the circular path, and is essential to understanding circular motion and rotation in physics. Centripetal Force is denoted by F_C symbol.

How to evaluate Centripetal Force using this online evaluator? To use this online evaluator for Centripetal Force, enter Mass (M), Velocity (v) & Radius (r) and hit the calculate button.

FAQs on Centripetal Force

What is the formula to find Centripetal Force?

The formula of Centripetal Force is expressed as Centripetal Force = (Mass*Velocity^2)/Radius. Here is an example- 21984.91 = (35.45*61^2)/6.

How to calculate Centripetal Force?

With Mass (M), Velocity (v) & Radius (r) we can find Centripetal Force using the formula - Centripetal Force = (Mass*Velocity^2)/Radius.

Can the Centripetal Force be negative?

Yes, the Centripetal Force, measured in Force can be negative.

Which unit is used to measure Centripetal Force?

Centripetal Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Centripetal Force can be measured.

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