Centripetal or Radial Acceleration Calculator

✖The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%
✖The Radius of Curvature is the reciprocal of the curvature.ⓘ Radius of Curvature [R_c]			+10% -10%

✖Angular acceleration refers to the time rate of change of angular velocity.ⓘ Centripetal or Radial Acceleration [α]

⎘ Copy

👎

Formula

✖

Centripetal or Radial Acceleration

Formula

`"α" = "ω"^2*"R"_{"c"}`

Example

`"1881.6rad/s²"=("11.2rad/s")^2*"15m"`

Calculator

LaTeX

Reset

👍

Download Kinematics Formulas PDF

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 refers to the time rate of change of angular velocity.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Radius of Curvature - (Measured in Meter) - The Radius of Curvature is the reciprocal of the curvature.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity: 11.2 Radian per Second --> 11.2 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 --> 11.2^2*15

Evaluating ... ...

α = 1881.6

STEP 3: Convert Result to Output's Unit

1881.6 Radian per Square Second --> No Conversion Required

FINAL ANSWER

1881.6 Radian per Square Second <-- Angular Acceleration

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Kinematics of Motion » Kinematics » Centripetal or Radial Acceleration

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

Usha has verified this Calculator and 1 more calculators!

< 18 Kinematics Calculators

Angular Displacement given Initial Angular Velocity Angular Acceleration and Time

Go Angular Displacement = Initial Angular Velocity*Time Taken to Travel the Path+(Angular Acceleration*Time Taken to Travel the Path^2)/2

Displacement of Body given Initial Velocity Acceleration and Time

Go Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2

Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time

Go Angular Displacement = ((Initial Angular Velocity+Final Angular Velocity)/2)*Time Taken to Travel the Path

Angular Displacement of Body for given Initial and Final Angular Velocity

Go Angular Displacement = (Final Angular Velocity^2-Initial Angular Velocity^2)/(2*Angular Acceleration)

Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time

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

Displacement of Body given Initial Velocity and Final Velocity

Go Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path

Angle Traced in Nth Second (Accelerated Rotatory Motion)

Go Angular Displacement = Initial Angular Velocity+((2*Nth Second-1)/2)*Angular Acceleration

Displacement of Body given Initial Velocity Final Velocity and Acceleration

Go Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body)

Final Velocity of Body

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

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

Distance Travelled in Nth Second (Accelerated Translatory Motion)

Go Distance Traveled = Initial Velocity+((2*Nth Second-1)/2)*Acceleration of Body

Resultant Acceleration

Go Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2)

Angle of Inclination of Resultant Acceleration with Tangential Acceleration

Go Inclination Angle = atan(Normal Acceleration/Tangential Acceleration)

Tangential Acceleration

Go Tangential Acceleration = Angular Acceleration*Radius of Curvature

Centripetal or Radial Acceleration

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

Normal Acceleration

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

Angular Velocity given Tangential Velocity

Go Angular Velocity = Tangential Velocity/Radius of Curvature

Average Velocity of Body given Initial and Final Velocity

Go Average Velocity = (Initial Velocity+Final Velocity)/2

Centripetal or Radial Acceleration Formula

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, The Centripetal or Radial Acceleration formula is defined as the component of resultant acceleration which is perpendicular to the instantaneous velocity for the motion along any general 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 -> 3024.6 = 11.2^2*15.

FAQ

What is Centripetal or Radial Acceleration?

The Centripetal or Radial Acceleration formula is defined as the component of resultant acceleration which is perpendicular to the instantaneous velocity for the motion along any general path and is represented as α = ω^2*R_c or Angular Acceleration = Angular Velocity^2*Radius of Curvature. The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time & The Radius of Curvature is the reciprocal of the curvature.

How to calculate Centripetal or Radial Acceleration?

The Centripetal or Radial Acceleration formula is defined as the component of resultant acceleration which is perpendicular to the instantaneous velocity for the motion along any general 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.

Home

FREE PDFs

🔍 Search