Tangential Acceleration Calculator

✖Angular acceleration refers to the time rate of change of angular velocity.ⓘ Angular Acceleration [α]			+10% -10%
✖The Radius of Curvature is the reciprocal of the curvature.ⓘ Radius of Curvature [R_c]			+10% -10%

✖Tangential acceleration is defined as the rate of change of tangential velocity of the matter in the circular path.ⓘ Tangential Acceleration [a_t]

⎘ Copy

👎

Formula

✖

Tangential Acceleration

Formula

`"a"_{"t"} = "α"*"R"_{"c"}`

Example

`"24m/s²"="1.6rad/s²"*"15m"`

Calculator

LaTeX

Reset

👍

Download Kinematics Formulas PDF

Tangential Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangential Acceleration = Angular Acceleration*Radius of Curvature
a_t = α*R_c
This formula uses 3 Variables

Variables Used

Tangential Acceleration - (Measured in Meter per Square Second) - Tangential acceleration is defined as the rate of change of tangential velocity of the matter in the circular path.
Angular Acceleration - (Measured in Radian per Square Second) - Angular acceleration refers to the time rate of change of angular velocity.
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 Acceleration: 1.6 Radian per Square Second --> 1.6 Radian per Square Second No Conversion Required
Radius of Curvature: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_t = α*R_c --> 1.6*15

Evaluating ... ...

a_t = 24

STEP 3: Convert Result to Output's Unit

24 Meter per Square Second --> No Conversion Required

FINAL ANSWER

24 Meter per Square Second <-- Tangential Acceleration

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Kinematics of Motion » Kinematics » Tangential Acceleration

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ 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

Tangential Acceleration Formula

Tangential Acceleration = Angular Acceleration*Radius of Curvature
a_t = α*R_c

What is tangential acceleration?

The concept of tangential acceleration is used to measure the change in the tangential velocity of a point with a specific radius with the change in time. Tangential acceleration is defined as the rate of change of tangential velocity of the matter in the circular path.

How to Calculate Tangential Acceleration?

Tangential Acceleration calculator uses Tangential Acceleration = Angular Acceleration*Radius of Curvature to calculate the Tangential Acceleration, Tangential Acceleration is the measure of how quickly a tangential velocity changes. It will be equal to the product of angular acceleration and the radius of the rotation. Tangential Acceleration is denoted by a_t symbol.

How to calculate Tangential Acceleration using this online calculator? To use this online calculator for Tangential Acceleration, enter Angular Acceleration (α) & Radius of Curvature (R_c) and hit the calculate button. Here is how the Tangential Acceleration calculation can be explained with given input values -> 24 = 1.6*15.

FAQ

What is Tangential Acceleration?

Tangential Acceleration is the measure of how quickly a tangential velocity changes. It will be equal to the product of angular acceleration and the radius of the rotation and is represented as a_t = α*R_c or Tangential Acceleration = Angular Acceleration*Radius of Curvature. Angular acceleration refers to the time rate of change of angular velocity & The Radius of Curvature is the reciprocal of the curvature.

How to calculate Tangential Acceleration?

Tangential Acceleration is the measure of how quickly a tangential velocity changes. It will be equal to the product of angular acceleration and the radius of the rotation is calculated using Tangential Acceleration = Angular Acceleration*Radius of Curvature. To calculate Tangential Acceleration, you need Angular Acceleration (α) & Radius of Curvature (R_c). With our tool, you need to enter the respective value for Angular Acceleration & 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