Question

An electric fan is turned off, and its angular velocity decreases uniformly from 490 rev/min to 150 rev/min in 4.50 s .find the angular acceleration in rev/s2 .

Answer 1

The angular acceleration of the electric fan is -1.26 rev/s².

Step-by-step explanation:

To find the angular acceleration, we can use the formula:

Angular acceleration = (change in angular velocity) / (time taken)

Given that the initial angular velocity is 490 rev/min and the final angular velocity is 150 rev/min, the change in angular velocity is (150 rev/min - 490 rev/min) = -340 rev/min. Converting to rev/s, the change in angular velocity is (-340 rev/min * 1 min/60 s) = -5.67 rev/s. The time taken is 4.50 s. Plugging these values into the formula, we get:

Angular acceleration = (-5.67 rev/s) / (4.50 s) = -1.26 rev/s².