If the angular velocity at .19s is 3.2 rad/s at .27s, what is the average angular acceleration over this time interval?
To find the average angular acceleration over a time interval, we need to use the formula:
Average Angular Acceleration = (Change in Angular Velocity) / (Change in Time)
Step 1: Calculate the change in angular velocity:
Change in Angular Velocity = Final Angular Velocity - Initial Angular Velocity
Given that the angular velocity at 0.19s is 3.2 rad/s and at 0.27s is 3.2 rad/s, the change in angular velocity is:
Change in Angular Velocity = 3.2 rad/s - 3.2 rad/s = 0 rad/s
Step 2: Calculate the change in time:
Change in Time = Final Time - Initial Time
Given that the initial time is 0.19s and the final time is 0.27s, the change in time is:
Change in Time = 0.27s - 0.19s = 0.08s
Step 3: Calculate the average angular acceleration:
Average Angular Acceleration = (Change in Angular Velocity) / (Change in Time)
Plugging in the values we obtained:
Average Angular Acceleration = 0 rad/s / 0.08s = 0 rad/s²
Therefore, the average angular acceleration over this time interval is 0 rad/s².