Q:

# How Do You Find Angular Velocity?

A:

Find the angular displacement using the formula ? = d?/dt, ?/t or v/r. "?" represents the angular velocity, "d?" represents change in angular displacement, "dt" stands for change in time,"?" represents displacement and "t" represents time taken. "V" is the linear velocity, and "r" is the radius of circular path.

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1. Determine the change in angular displacement

Obtain the value of the initial angular displacement and the value of final angular displacement. Find the difference between the two angular displacements as shown: final angular displacement –initial angular displacement = change in displacement or d? .The result obtained is the change in angular displacement.

2. Determine the change in time

Note down the time taken to make the initial displacement and the time taken to make the final displacement. Calculate the difference between the two with the formula final time taken – initial time taken = change in time, or dt. The result obtained is the change in time.

3. Calculate the angular velocity

Calculate the angular velocity using the formula, ? = d?/dt, where d? is the value of the change in displacement obtained in step 1 above, dt, is the value of the change in time obtained in step 2 above. Substitute the values in the equation and divide to get the value of angular velocity, ?.