Angular Acceleration given Linear Acceleration Calculator

✖Acceleration For Curvilinear Motion is the rate of change in velocity to the change in time.ⓘ Acceleration For Curvilinear Motion [a_cm]			+10% -10%
✖Radius is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.ⓘ Radius [r]			+10% -10%

✖Angular Acceleration is defined as the rate of change of angular velocity.ⓘ Angular Acceleration given Linear Acceleration [α_cm]

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Angular Acceleration given Linear Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Acceleration = Acceleration For Curvilinear Motion/Radius
α_cm = a_cm/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

α_cm = a_cm/r --> 5.59/0.69

Evaluating ... ...

α_cm = 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)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Curvilinear Motion Calculators

Final Angular Velocity

LaTeX Go Final Angular Velocity of Object = Initial Angular Velocity of Object+Angular Acceleration*Time Period

Angular Acceleration given Linear Acceleration

LaTeX Go Angular Acceleration = Acceleration For Curvilinear Motion/Radius

Angular Velocity given Linear Velocity

LaTeX Go Angular Velocity = Velocity of Curvilinear Motion/Radius

Angular Velocity of Body Moving in Circle

LaTeX Go Angular Velocity = Angular Displacement/Time Period

Angular Acceleration given Linear Acceleration Formula

LaTeX Go

Angular Acceleration = Acceleration For Curvilinear Motion/Radius
α_cm = a_cm/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, Angular Acceleration given Linear Acceleration formula is defined as a measure of how quickly the angular velocity of an object changes with respect to time, providing a way to quantify the rate of change of rotational motion in terms of linear acceleration and radius. Angular Acceleration is denoted by α_cm 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 (a_cm) & Radius (r) and hit the calculate button. Here is how the Angular Acceleration given Linear Acceleration calculation can be explained with given input values -> 8.101449 = 5.59/0.69.

FAQ

What is Angular Acceleration given Linear Acceleration?

Angular Acceleration given Linear Acceleration formula is defined as a measure of how quickly the angular velocity of an object changes with respect to time, providing a way to quantify the rate of change of rotational motion in terms of linear acceleration and radius and is represented as α_cm = a_cm/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?

Angular Acceleration given Linear Acceleration formula is defined as a measure of how quickly the angular velocity of an object changes with respect to time, providing a way to quantify the rate of change of rotational motion in terms of linear acceleration and radius is calculated using Angular Acceleration = Acceleration For Curvilinear Motion/Radius. To calculate Angular Acceleration given Linear Acceleration, you need Acceleration For Curvilinear Motion (a_cm) & 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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