Centripetal or Radial Acceleration Calculator

✖Angular Velocity is the rate of change of angular displacement of an object with respect to time, describing its rotational motion.ⓘ Angular Velocity [ω]			+10% -10%
✖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.ⓘ Radius of Curvature [R_c]			+10% -10%

✖Angular Acceleration is the rate of change of angular velocity, describing how fast the rotation of an object changes over time.ⓘ Centripetal or Radial Acceleration [α]

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Centripetal or Radial Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Acceleration = Angular Velocity^2*Radius of Curvature
α = ω^2*R_c
This formula uses 3 Variables

Variables Used

Angular Acceleration - (Measured in Radian per Square Second) - Angular Acceleration is the rate of change of angular velocity, describing how fast the rotation of an object changes over time.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity is the rate of change of angular displacement of an object with respect to time, describing its rotational motion.
Radius of Curvature - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity: 0.327 Radian per Second --> 0.327 Radian per Second No Conversion Required
Radius of Curvature: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = ω^2*R_c --> 0.327^2*15

Evaluating ... ...

α = 1.603935

STEP 3: Convert Result to Output's Unit

1.603935 Radian per Square Second --> No Conversion Required

FINAL ANSWER

1.603935 Radian per Square Second <-- Angular Acceleration

(Calculation completed in 00.004 seconds)

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Credits

Created by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

Prasana Kannan has created this Calculator and 25+ more calculators!

Verified by Usha

Indian Institute of Technology, Kanpur (IITK), Uttar Pradesh, Kanpur

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< Kinematics Calculators

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LaTeX Go Final Angular Velocity = Initial Angular Velocity+Angular Acceleration*Time Taken to Travel the Path

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LaTeX Go Final Velocity = Initial Velocity+Acceleration of Body*Time Taken to Travel the Path

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

LaTeX Go Velocity on Reaching Ground = sqrt(2*Acceleration due to Gravity*Height of Crack)

Normal Acceleration

LaTeX Go Normal Acceleration = Angular Velocity^2*Radius of Curvature

Centripetal or Radial Acceleration Formula

LaTeX Go

Angular Acceleration = Angular Velocity^2*Radius of Curvature
α = ω^2*R_c

What is Angular Acceleration?

Angular acceleration refers to the time rate of change of angular velocity. As there are two types of angular velocity, namely spin angular velocity and orbital angular velocity, there are naturally also two types of angular acceleration, called spin angular acceleration and orbital angular acceleration respectively. Spin angular acceleration refers to the angular acceleration of a rigid body about its centre of rotation, and orbital angular acceleration refers to the angular acceleration of a point particle about a fixed origin.

How to Calculate Centripetal or Radial Acceleration?

Centripetal or Radial Acceleration calculator uses Angular Acceleration = Angular Velocity^2*Radius of Curvature to calculate 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 calculate Centripetal or Radial Acceleration using this online calculator? To use this online calculator for Centripetal or Radial Acceleration, enter Angular Velocity (ω) & Radius of Curvature (R_c) and hit the calculate button. Here is how the Centripetal or Radial Acceleration calculation can be explained with given input values -> 1881.6 = 0.327^2*15.

FAQ

What is Centripetal or Radial 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 and is represented as α = ω^2*R_c or Angular Acceleration = Angular Velocity^2*Radius of Curvature. Angular Velocity is the rate of change of angular displacement of an object with respect to time, describing its rotational motion & 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.

How to calculate Centripetal or Radial 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 is calculated using Angular Acceleration = Angular Velocity^2*Radius of Curvature. To calculate Centripetal or Radial Acceleration, you need Angular Velocity (ω) & Radius of Curvature (R_c). With our tool, you need to enter the respective value for Angular Velocity & Radius of Curvature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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