## Angular Velocity given Linear Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Velocity = Velocity of Curvilinear Motion/Radius
ω = vcm/r
This formula uses 3 Variables
Variables Used
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.
Velocity of Curvilinear Motion - (Measured in Meter per Second) - Velocity of Curvilinear Motion is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to 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
Velocity of Curvilinear Motion: 25 Meter per Second --> 25 Meter per Second No Conversion Required
Radius: 0.69 Meter --> 0.69 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω = vcm/r --> 25/0.69
Evaluating ... ...
ω = 36.231884057971
STEP 3: Convert Result to Output's Unit
36.231884057971 Radian per Second --> No Conversion Required
36.231884057971 36.23188 Radian per Second <-- Angular Velocity
(Calculation completed in 00.004 seconds)
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## 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
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## <Curvilinear Motion Calculators

Final Angular Velocity
​ Go Final Angular Velocity of Object = Initial Angular Velocity of Object+Angular Acceleration*Time Period
Angular Acceleration given Linear Acceleration
​ Go Angular Acceleration = Acceleration For Curvilinear Motion/Radius
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 Velocity given Linear Velocity Formula

Angular Velocity = Velocity of Curvilinear Motion/Radius
ω = vcm/r

## What is angular velocity?

Angular velocity is the rate of velocity at which an object or a particle is rotating around a center or a specific point in a given time period.

## How to Calculate Angular Velocity given Linear Velocity?

Angular Velocity given Linear Velocity calculator uses Angular Velocity = Velocity of Curvilinear Motion/Radius to calculate the Angular Velocity, Angular Velocity given Linear Velocity formula is defined as a measure of the rate of change of angular displacement of an object with respect to time, providing a way to quantify the rotational motion of an object in terms of its linear velocity and radius. Angular Velocity is denoted by ω symbol.

How to calculate Angular Velocity given Linear Velocity using this online calculator? To use this online calculator for Angular Velocity given Linear Velocity, enter Velocity of Curvilinear Motion (vcm) & Radius (r) and hit the calculate button. Here is how the Angular Velocity given Linear Velocity calculation can be explained with given input values -> 36.23188 = 25/0.69.

### FAQ

What is Angular Velocity given Linear Velocity?
Angular Velocity given Linear Velocity formula is defined as a measure of the rate of change of angular displacement of an object with respect to time, providing a way to quantify the rotational motion of an object in terms of its linear velocity and radius and is represented as ω = vcm/r or Angular Velocity = Velocity of Curvilinear Motion/Radius. Velocity of Curvilinear Motion is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to 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 Velocity given Linear Velocity?
Angular Velocity given Linear Velocity formula is defined as a measure of the rate of change of angular displacement of an object with respect to time, providing a way to quantify the rotational motion of an object in terms of its linear velocity and radius is calculated using Angular Velocity = Velocity of Curvilinear Motion/Radius. To calculate Angular Velocity given Linear Velocity, you need Velocity of Curvilinear Motion (vcm) & Radius (r). With our tool, you need to enter the respective value for Velocity of Curvilinear Motion & Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Angular Velocity?
In this formula, Angular Velocity uses Velocity of Curvilinear Motion & Radius. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Angular Velocity = Angular Displacement/Time Period
• Angular Velocity = (Initial Angular Velocity of Object+Final Angular Velocity of Object)/2
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