Angular Velocity of Body Moving in Circle Calculator

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✖Angular displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point.ⓘ Angular Displacement [θ_cm]			+10% -10%
✖Time Period is what a clock reads, it is a scalar quantity.ⓘ Time Period [t_cm]			+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.ⓘ Angular Velocity of Body Moving in Circle [ω]

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Formula

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Angular Velocity of Body Moving in Circle

Formula

`"ω" = "θ"_{"cm"}/"t"_{"cm"}`

Example

`"35.99451rad/s"="6187°"/"3s"`

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Angular Velocity of Body Moving in Circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Velocity = Angular Displacement/Time Period
ω = θ_cm/t_cm
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.
Angular Displacement - (Measured in Radian) - Angular displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point.
Time Period - (Measured in Second) - Time Period is what a clock reads, it is a scalar quantity.

STEP 1: Convert Input(s) to Base Unit

Angular Displacement: 6187 Degree --> 107.983520820869 Radian (Check conversion here)
Time Period: 3 Second --> 3 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = θ_cm/t_cm --> 107.983520820869/3

Evaluating ... ...

ω = 35.9945069402897

STEP 3: Convert Result to Output's Unit

35.9945069402897 Radian per Second --> No Conversion Required

FINAL ANSWER

35.9945069402897 ≈ 35.99451 Radian per Second <-- Angular Velocity

(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

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 Velocity of Body Moving in Circle Formula

Angular Velocity = Angular Displacement/Time Period
ω = θ_cm/t_cm

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 of Body Moving in Circle?

Angular Velocity of Body Moving in Circle calculator uses Angular Velocity = Angular Displacement/Time Period to calculate the Angular Velocity, The Angular velocity of body moving in circle formula is defined as the ratio of angular displacement and the time. Angular Velocity is denoted by ω symbol.

How to calculate Angular Velocity of Body Moving in Circle using this online calculator? To use this online calculator for Angular Velocity of Body Moving in Circle, enter Angular Displacement (θ_cm) & Time Period (t_cm) and hit the calculate button. Here is how the Angular Velocity of Body Moving in Circle calculation can be explained with given input values -> 0.628319 = 107.983520820869/3.

FAQ

What is Angular Velocity of Body Moving in Circle?

The Angular velocity of body moving in circle formula is defined as the ratio of angular displacement and the time and is represented as ω = θ_cm/t_cm or Angular Velocity = Angular Displacement/Time Period. Angular displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point & Time Period is what a clock reads, it is a scalar quantity.

How to calculate Angular Velocity of Body Moving in Circle?

The Angular velocity of body moving in circle formula is defined as the ratio of angular displacement and the time is calculated using Angular Velocity = Angular Displacement/Time Period. To calculate Angular Velocity of Body Moving in Circle, you need Angular Displacement (θ_cm) & Time Period (t_cm). With our tool, you need to enter the respective value for Angular Displacement & Time Period 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 Angular Displacement & Time Period. We can use 2 other way(s) to calculate the same, which is/are as follows -

Angular Velocity = Velocity of Curvilinear Motion/Radius
Angular Velocity = (Initial angular velocity of object+Final Angular Velocity of Object)/2

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