SOLUTION: A racetrack has two semi-circular turns, each with a radius of 1000ft, and two straightaways, each 2000 feet long. To the nearest second, how long will a car traveling 120 miles pe
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Question 326056: A racetrack has two semi-circular turns, each with a radius of 1000ft, and two straightaways, each 2000 feet long. To the nearest second, how long will a car traveling 120 miles per hour take to complete one lap on the track?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
First, find the circumference of the whole circle.
This is given by formula C=2pi*r
C=2*pi*1000
C=2000pi
Since we have two semi-circular turns, that should cover both of them.
Now, add 2000pi to 2*2000 ft.
2000pi+4000=10283.1853071796ft
Now, since the speed is given in miles, convert the distance to miles.
10283.1853071796/5280= 1.9475729748446 miles.
Since the time is given by distance over speed, we then have:
1.9475729748446/120= 0.016 Seconds.
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