A car that has a wheel radius of 1.5 feet travels 30 miles in 45 minutes. How fast are the wheels spinning? Give your answer in revolutions per minute.​

Respuesta :

Answer:

373.43 rev/min

Step-by-step explanation:

Given data

r= 1.5ft

v=30 miles per 45 minutes

convert miles per hour to ft per minute

=30miles/45 minutes* 5280ft/1 mile

=158400/45 minutes

v=3520 feet per minute

so

v=wr

substitute

3520= w*1.5

w= 3520/1.5

w=2346.66 rad/min

Convert to rev/min

=2346.66 rad/min*1rev/2*π rad

=2346.66/2*3.142

=2346.66/6.284

=373.43 rev/min

Hence the answer is 373.43 rev/min