Final answer:
The ceiling fan makes 13 revolutions while stopping, which is obtained by finding the average speed (0.5 revolutions per second) and multiplying by the time taken to come to a stop (26 seconds).
Step-by-step explanation:
To determine how many revolutions the ceiling fan makes while stopping after spinning at 60 RPM, we need to calculate the total distance traveled (in terms of revolutions) as the fan slows down to a stop. The fact that the fan takes 26 seconds to stop implies a uniform deceleration from its initial angular velocity to zero.
Given the initial speed of 60 RPM, we first convert this to revolutions per second (RPS) by dividing by 60, as there are 60 seconds in a minute:
60 RPM ÷ 60 = 1 RPS.
Since the fan comes to a stop after 26 seconds, it has an average speed of 0.5 RPS (since it decreases uniformly from 1 RPS to 0 RPS). To find the total number of revolutions, we multiply this average speed by the time it takes to stop:
0.5 RPS × 26 seconds = 13 revolutions.
Hence, the ceiling fan makes 13 revolutions while stopping.