Acar is traveling at 34 mph. if its tires have a diameter of 24 inches, how fast are the car's tires turning? express the answer in revolutions per minute. if necessary, round to two decimal places.

The tires of car is turning at the rate of 476.70 revolutions per minute (rpm).

Given data:

The speed of car is, .

The diameter of the tire is, .

The given problem is based on the angular speed and number of revolutions made by the tires. The expression for the angular speed is,

Here, r is the radius of tire and v is the linear speed of car. So, radius is, r = d/2.

Solving as,

Now convert the given value to rad/s as,

Now, finally convert the above value to rotation per minute (rpm) as,

Thus, we can conclude that the tires of car is turning at the rate of 476.70 revolutions per minute (rpm).

learn more about the angular speed here:

link

calculate circumference of tire = C=2*pi*r = 2*3.14812 = 75.36

5280 ft in a mile

calculate feet per hour = 5280/34 = 179,520 ft/hr

 find inches per hour 179520*12 = 2154240

calculate inches / minute = 2154240/60 = 35904 inches per minute

divide that by tire circumference

35904/75.36 = 476.43 revolutions per minute

i dont know but

explanation:

whoever your teacher is, deserves a raise for using pokemon as an example