Question

An electric fan is turned off, and its angular velocity decreases uniformly from 540 rev/min r e v / m i n to 190 rev/min r e v / m i n in a time interval of length 4.00 s s .

Answer 1

The question pertains to a Physics concept of calculating the angular deceleration of a slowing fan, which involves the change in angular velocity over a given time interval.

Step-by-step explanation:

The question involves a change in angular velocity of an electric fan, which is a concept from Physics. Specifically, it falls under the category of rotational motion and kinematics. The fan's angular velocity decreases uniformly, implying an angular deceleration. To find this deceleration, you would use the formula for angular acceleration, which is the change in angular velocity divided by the time taken for the change.

Using the given values, the initial angular velocity (ωi) is 540 rev/min and the final angular velocity (ωf) is 190 rev/min. These would be converted to rad/s before calculations. The time interval, Δt, is 4.00 s. The angular deceleration can then be calculated using the formula α = (ωf - ωi) / Δt.