Angular Acceleration given Linear Acceleration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Acceleration = Acceleration for Curvilinear Motion/Radius
αcm = acm/r
This formula uses 3 Variables
Variables Used
Angular Acceleration - (Measured in Radian per Square Second) - Angular Acceleration is defined as the rate of change of angular velocity.
Acceleration for Curvilinear Motion - (Measured in Meter per Square Second) - Acceleration for Curvilinear Motion is the rate of change in velocity to the change in time.
Radius - (Measured in Meter) - Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.
STEP 1: Convert Input(s) to Base Unit
Acceleration for Curvilinear Motion: 5.59 Meter per Square Second --> 5.59 Meter per Square Second No Conversion Required
Radius: 0.69 Meter --> 0.69 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
αcm = acm/r --> 5.59/0.69
Evaluating ... ...
αcm = 8.10144927536232
STEP 3: Convert Result to Output's Unit
8.10144927536232 Radian per Square Second --> No Conversion Required
FINAL ANSWER
8.10144927536232 8.101449 Radian per Square Second <-- Angular Acceleration
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!
Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

11 Curvilinear Motion Calculators

Angular Displacement given Angular Acceleration
Go Angular Displacement = Initial angular velocity of object*Time Period+1/2*Angular Acceleration*Time Period^2
Initial Angular Velocity
Go Initial angular velocity of object = Final Angular Velocity of Object-Angular Acceleration*Time Period
Final Angular Velocity
Go Final Angular Velocity of Object = Initial angular velocity of object+Angular Acceleration*Time Period
Average Angular Velocity
Go Angular Velocity = (Initial angular velocity of object+Final Angular Velocity of Object)/2
Radius of Curvilinear Motion given Linear Acceleration
Go Radius = Acceleration for Curvilinear Motion/Angular Acceleration
Angular Acceleration given Linear Acceleration
Go Angular Acceleration = Acceleration for Curvilinear Motion/Radius
Linear Acceleration in Curvilinear Motion
Go Acceleration for Curvilinear Motion = Angular Acceleration*Radius
Velocity in Curvilinear Motion given Angular Velocity
Go Velocity of Curvilinear Motion = Angular Velocity*Radius
Radius of Curvilinear Motion given Angular velocity
Go Radius = Velocity of Curvilinear Motion/Angular Velocity
Angular Velocity given Linear Velocity
Go Angular Velocity = Velocity of Curvilinear Motion/Radius
Angular Velocity of Body Moving in Circle
Go Angular Velocity = Angular Displacement/Time Period

Angular Acceleration given Linear Acceleration Formula

Angular Acceleration = Acceleration for Curvilinear Motion/Radius
αcm = acm/r

What is angular acceleration?

Angular acceleration is the rate of change of angular velocity with a time of an object in motion. The angular acceleration is also known as rotational acceleration. It is a quantitative expression of the change in angular velocity per unit time.

How to Calculate Angular Acceleration given Linear Acceleration?

Angular Acceleration given Linear Acceleration calculator uses Angular Acceleration = Acceleration for Curvilinear Motion/Radius to calculate the Angular Acceleration, The Angular acceleration given linear acceleration formula is defined as the ratio of linear acceleration to the radius of the circle. Angular Acceleration is denoted by αcm symbol.

How to calculate Angular Acceleration given Linear Acceleration using this online calculator? To use this online calculator for Angular Acceleration given Linear Acceleration, enter Acceleration for Curvilinear Motion (acm) & Radius (r) and hit the calculate button. Here is how the Angular Acceleration given Linear Acceleration calculation can be explained with given input values -> 173.913 = 5.59/0.69.

FAQ

What is Angular Acceleration given Linear Acceleration?
The Angular acceleration given linear acceleration formula is defined as the ratio of linear acceleration to the radius of the circle and is represented as αcm = acm/r or Angular Acceleration = Acceleration for Curvilinear Motion/Radius. Acceleration for Curvilinear Motion is the rate of change in velocity to the change in time & Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.
How to calculate Angular Acceleration given Linear Acceleration?
The Angular acceleration given linear acceleration formula is defined as the ratio of linear acceleration to the radius of the circle is calculated using Angular Acceleration = Acceleration for Curvilinear Motion/Radius. To calculate Angular Acceleration given Linear Acceleration, you need Acceleration for Curvilinear Motion (acm) & Radius (r). With our tool, you need to enter the respective value for Acceleration for Curvilinear Motion & Radius 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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