Angular velocity of body moving in circle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Velocity = Angular Displacement/Time
ω = θ/t
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 - (Measured in Second) - Time is what a clock reads, it is a scalar quantity.
STEP 1: Convert Input(s) to Base Unit
Angular Displacement: 108 Radian --> 108 Radian No Conversion Required
Time: 3 Second --> 3 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω = θ/t --> 108/3
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 00.012 seconds)

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
Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

7 Curvilinear motion Calculators

Angular Displacement given Angular Acceleration
Angular Displacement = (Initial Angular Velocity*Time)+(1/2*Angular acceleration*(Time^2)) Go
Initial angular velocity
Initial Angular Velocity = Final Angular Velocity-(Angular acceleration*Time) Go
Final angular velocity
Angular Velocity = Initial Angular Velocity+(Angular acceleration*Time) Go
Average angular velocity
Angular Velocity = (Initial Angular Velocity+Final Angular Velocity)/2 Go
Angular velocity of body moving in circle
Angular Velocity = Angular Displacement/Time Go
Angular acceleration given linear acceleration
Angular acceleration = Acceleration/Radius Go
Angular velocity given linear velocity
Angular Velocity = Velocity/Radius Go

Angular velocity of body moving in circle Formula

Angular Velocity = Angular Displacement/Time
ω = θ/t

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 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) & Time (t) and hit the calculate button. Here is how the Angular velocity of body moving in circle calculation can be explained with given input values -> 36 = 108/3.

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/t or Angular Velocity = Angular Displacement/Time. 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 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. To calculate Angular velocity of body moving in circle, you need Angular Displacement (θ) & Time (t). With our tool, you need to enter the respective value for Angular Displacement & Time 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. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Angular Velocity = Velocity/Radius
  • Angular Velocity = Initial Angular Velocity+(Angular acceleration*Time)
  • Angular Velocity = (Initial Angular Velocity+Final Angular Velocity)/2
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