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Dmitry [639]
4 years ago
5

A race car is driven around a circular track at a constant speed of 180mph. If the diameter is 1/2 mile, what is the angular spe

ed of the car? Express your answer in revolutions per hour. The formula for angular speed is w=theta (in radians)/time
Mathematics
1 answer:
Bogdan [553]4 years ago
4 0
If the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!

the angular speed is theta/time, which means

 w=theta/time

but another formula for it is Velocity*radians

w=velocity*radians

velocity is 180 mph and radians are (revolution/2\pi radius), that is:

w=180*(1/2\pi*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!
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