Calculating Average Angular Acceleration

To calculate the average angular acceleration of an electric fan, we need to use the formula for angular acceleration:

Angular acceleration = (final angular velocity - initial angular velocity) / time

In this case, the initial angular velocity is given as 0 rev/min (since the fan starts from rest) and the final angular velocity is 300 rev/min. The time given is 10 seconds.

Substituting the values into the formula:

Angular acceleration = (300 rev/min - 0 rev/min) / 10 s

Simplifying the calculation:

Angular acceleration = 300 rev/min / 10 s

Angular acceleration = 30 rev/min/s

Explanation:

Angular acceleration is a measure of how quickly the angular velocity of an object changes over time. In this case, the electric fan starts from rest and reaches a final angular velocity of 300 rev/min in 10 seconds.

Angular velocity is the rate at which an object rotates around an axis, measured in revolutions per minute (rev/min). So, the initial angular velocity is 0 rev/min, and the final angular velocity is 300 rev/min.

To find the average angular acceleration, we subtract the initial angular velocity from the final angular velocity and divide it by the time taken. In this case, the time taken is 10 seconds.

After performing the calculation, we find that the average angular acceleration of the electric fan is 30 rev/min/s. This means that the fan's angular velocity increases by 30 revolutions per minute every second.