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.
1 answer:
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
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