A race car is driven around a circular track at a constant speed of 180 miles per hour. If the diameter of the track is 1/2 mile
, what is the angular speed of the car? Express your answer in revolutions per hour (which is equivalent to laps per hour)
1 answer:
F 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 radius), that is:
w=180*(1/2*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!
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