Question

A car accelerates uniformly from rest and reaches a speed of 21.4 m/s in 5.1 s. The diameter of a tire is 38.2 cm. Find the number of revolutions the tire makes during this motion, assuming no slipping

Answer 1

To find the number of revolutions the tire makes during this motion, we need to calculate the distance traveled by the tire and divide it by the diameter of the tire.

First, we need to find the distance traveled. This can be calculated using the formula:

distance = (initial velocity + final velocity)/2 * time = (0 + 21.4 m/s)/2 * 5.1s = 110.7m

Next, we need to convert the diameter of the tire from cm to m.

diameter = 38.2 cm / 100 cm/m = 0.382 m

Now we can calculate the number of revolutions by dividing the distance traveled by the diameter of the tire:

revolutions = distance / diameter = 110.7m / 0.382 m = 290.64

Therefore, the tire makes 290.64 revolutions during this motion

Note that it is assuming that the tire is not slipping. When the tire is slipping, this result can be different.