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Gekata [30.6K]
3 years ago
13

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)
Mathematics
1 answer:
velikii [3]3 years ago
8 0
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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Step-by-step explanation:

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Simplifying

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Reorder the terms:

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Remove parenthesis around (-50 + 3x)

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Solving for variable 'x'.

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x = 23

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