Average Angular Velocity Calculator

✖Initial Angular Velocity of Object undergoing curvilinear motion is calculated concerning time and acceleration.ⓘ Initial Angular Velocity of Object [ω_in]			+10% -10%
✖Final Angular Velocity of Object refers to the angular velocity (rate of rotation) of the object at the end of a given time interval.ⓘ Final Angular Velocity of Object [ω_fi]			+10% -10%

✖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.ⓘ Average Angular Velocity [ω]

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Average Angular Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = (Initial Angular Velocity of Object+Final Angular Velocity of Object)/2
ω = (ω_in+ω_fi)/2
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.
Initial Angular Velocity of Object - (Measured in Radian per Second) - Initial Angular Velocity of Object undergoing curvilinear motion is calculated concerning time and acceleration.
Final Angular Velocity of Object - (Measured in Radian per Second) - Final Angular Velocity of Object refers to the angular velocity (rate of rotation) of the object at the end of a given time interval.

STEP 1: Convert Input(s) to Base Unit

Initial Angular Velocity of Object: 24 Radian per Second --> 24 Radian per Second No Conversion Required
Final Angular Velocity of Object: 48 Radian per Second --> 48 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = (ω_in+ω_fi)/2 --> (24+48)/2

Evaluating ... ...

ω = 36

STEP 3: Convert Result to Output's Unit

36 Radian per Second --> No Conversion Required

FINAL ANSWER

36 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 Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has verified this Calculator and 400+ more calculators!

< 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

Average Angular Velocity Formula

LaTeX Go

Angular Velocity = (Initial Angular Velocity of Object+Final Angular Velocity of Object)/2
ω = (ω_in+ω_fi)/2

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 Average Angular Velocity?

Average Angular Velocity calculator uses Angular Velocity = (Initial Angular Velocity of Object+Final Angular Velocity of Object)/2 to calculate the Angular Velocity, Average Angular Velocity formula is defined as the mean value of the angular velocity of an object undergoing rotational motion, providing a measure of the rate of change of its angular displacement over a specific period of time. Angular Velocity is denoted by ω symbol.

How to calculate Average Angular Velocity using this online calculator? To use this online calculator for Average Angular Velocity, enter Initial Angular Velocity of Object (ω_in) & Final Angular Velocity of Object (ω_fi) and hit the calculate button. Here is how the Average Angular Velocity calculation can be explained with given input values -> 36 = (24+48)/2.

FAQ

What is Average Angular Velocity?

Average Angular Velocity formula is defined as the mean value of the angular velocity of an object undergoing rotational motion, providing a measure of the rate of change of its angular displacement over a specific period of time and is represented as ω = (ω_in+ω_fi)/2 or Angular Velocity = (Initial Angular Velocity of Object+Final Angular Velocity of Object)/2. Initial Angular Velocity of Object undergoing curvilinear motion is calculated concerning time and acceleration & Final Angular Velocity of Object refers to the angular velocity (rate of rotation) of the object at the end of a given time interval.

How to calculate Average Angular Velocity?

Average Angular Velocity formula is defined as the mean value of the angular velocity of an object undergoing rotational motion, providing a measure of the rate of change of its angular displacement over a specific period of time is calculated using Angular Velocity = (Initial Angular Velocity of Object+Final Angular Velocity of Object)/2. To calculate Average Angular Velocity, you need Initial Angular Velocity of Object (ω_in) & Final Angular Velocity of Object (ω_fi). With our tool, you need to enter the respective value for Initial Angular Velocity of Object & Final Angular Velocity of Object 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 Initial Angular Velocity of Object & Final Angular Velocity of Object. We can use 2 other way(s) to calculate the same, which is/are as follows -

Angular Velocity = Angular Displacement/Time Period
Angular Velocity = Velocity of Curvilinear Motion/Radius

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