Average Angular Velocity Calculator

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✖The Initial angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.ⓘ Initial angular velocity of object [ω_in]			+10% -10%
✖The final angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.ⓘ 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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Formula

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Average Angular Velocity

Formula

`"ω" = ("ω"_{"in"}+"ω"_{"fi"})/2`

Example

`"36rad/s"=("24rad/s"+"48rad/s")/2`

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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) - The Initial angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.
Final Angular Velocity of Object - (Measured in Radian per Second) - The final angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.

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!

< 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

Average Angular Velocity Formula

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, The Average angular velocity formula is defined as the average of the initial angular velocity and final angular velocity. 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?

The Average angular velocity formula is defined as the average of the initial angular velocity and final angular velocity and is represented as ω = (ω_in+ω_fi)/2 or Angular Velocity = (Initial angular velocity of object+Final Angular Velocity of Object)/2. The Initial angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration & The final angular velocity of object undergoing curvilinear motion is calculated concerning time and acceleration.

How to calculate Average Angular Velocity?

The Average angular velocity formula is defined as the average of the initial angular velocity and final angular velocity 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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