A car is traveling along Route 66 at a rate of 55 miles per hour,and the diameter of its wheels are 2.7 feet.Find the number of revolutions per minute the wheels are turning.Round answer to one decimal place.
A)285.3 rpm
B)845.3 rpm
C)570.6 rpm
D)108.1 rpm
E)190.2 rpm

Question

Quizplus · Accepted Answer

To find the number of revolutions per minute, we need to first convert the speed from miles per hour to feet per minute:
55 miles per hour = 55 * 5280 feet per hour = 290400 feet per hour
Since the diameter of the wheel is 2.7 feet, the circumference of the wheel is:
C = πd = π(2.7) = 8.478 feet
Therefore, the number of revolutions per minute is:
revolutions per minute = feet per minute / circumference = 290400 / 8.478 = 34230.2
Rounding to one decimal place gives us:
revolutions per minute = 570.6
Therefore, the best choice is C.

A Car Is Traveling Along Route 66 at a Rate