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Centripetal or Radial Acceleration Formula

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Angular Acceleration is the rate of change of angular velocity, describing how fast the rotation of an object changes over time. Check FAQs

α = ω^{2} \cdot R c

α - Angular Acceleration?ω - Angular Velocity?R_c - Radius of Curvature?

Centripetal or Radial Acceleration Example

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Here is how the Centripetal or Radial Acceleration equation looks like with Values.

Here is how the Centripetal or Radial Acceleration equation looks like with Units.

Here is how the Centripetal or Radial Acceleration equation looks like.

1.6039 = {0.327}^{2} \cdot 15

1.6039rad/s² = {0.327rad/s}^{2} \cdot 15m

1.6039 = {0.327}^{2} \cdot 15

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Centripetal or Radial Acceleration Solution

Follow our step by step solution on how to calculate Centripetal or Radial Acceleration?

FIRST Step Consider the formula

α = ω^{2} \cdot R c

Next Step Substitute values of Variables

∴

α = {0.327rad/s}^{2} \cdot 15m

Next Step Prepare to Evaluate

∴

α = {0.327}^{2} \cdot 15

Next Step Evaluate

∴

α = 1.603935rad/s²

LAST Step Rounding Answer

∴

α = 1.6039rad/s²

Centripetal or Radial Acceleration Formula Elements

Variables

Angular Acceleration

Angular Acceleration is the rate of change of angular velocity, describing how fast the rotation of an object changes over time.

Symbol: α

Measurement: Angular AccelerationUnit: rad/s²

Note: Value can be positive or negative.

Formulas to find Angular Acceleration

Angular Velocity

Angular Velocity is the rate of change of angular displacement of an object with respect to time, describing its rotational motion.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Radius of Curvature

Radius of Curvature is the radius of the circle that a curve would make if it were to continue in its current direction at a specific point.

Symbol: R_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Curvature

Other formulas in Kinematics category

Go Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time

ω 1 = ω o + α \cdot t

Go Final Velocity of Body

v f = u + a \cdot t

Go Final Velocity of Freely Falling Body from Height when it Reaches Ground

V = \sqrt{2 \cdot g \cdot v}

Go Normal Acceleration

a n = ω^{2} \cdot R c

How to Evaluate Centripetal or Radial Acceleration?

Centripetal or Radial Acceleration evaluator uses Angular Acceleration = Angular Velocity^2*Radius of Curvature to evaluate the Angular Acceleration, Centripetal or Radial Acceleration formula is defined as the rate of change of velocity of an object moving in a circular path, which is directed towards the center of the circle, and is responsible for keeping the object on its circular path. Angular Acceleration is denoted by α symbol.

How to evaluate Centripetal or Radial Acceleration using this online evaluator? To use this online evaluator for Centripetal or Radial Acceleration, enter Angular Velocity (ω) & Radius of Curvature (R_c) and hit the calculate button.

FAQs on Centripetal or Radial Acceleration

What is the formula to find Centripetal or Radial Acceleration?

The formula of Centripetal or Radial Acceleration is expressed as Angular Acceleration = Angular Velocity^2*Radius of Curvature. Here is an example- 1881.6 = 0.327^2*15.

How to calculate Centripetal or Radial Acceleration?

With Angular Velocity (ω) & Radius of Curvature (R_c) we can find Centripetal or Radial Acceleration using the formula - Angular Acceleration = Angular Velocity^2*Radius of Curvature.

Can the Centripetal or Radial Acceleration be negative?

Yes, the Centripetal or Radial Acceleration, measured in Angular Acceleration can be negative.

Which unit is used to measure Centripetal or Radial Acceleration?

Centripetal or Radial Acceleration is usually measured using the Radian per Square Second[rad/s²] for Angular Acceleration. Radian per Square Minute[rad/s²], Revolution per Square Second[rad/s²], Revolution per Square Minute[rad/s²] are the few other units in which Centripetal or Radial Acceleration can be measured.

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