Another trigonometry question or so
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Another trigonometry question or so

[From: ] [author: ] [Date: 11-10-17] [Hit: ]
.. [because 1 mile = 5280 ft.= 39.= 39.27 miles per hour.......
The wheels of a car have radius 11 inches and are rotating at 600 rev/min. Find the speed of the car in miles per hour.
please show work. Thanks in advance!

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The distance covered in 1 revolution
= 2 π r
= 2 π * 11/12 ft
Distance covered in 1 minute
= No. of rev/min x distance covered per revolution
= 600 * 2 π * (11/12) ft
=> distance covered in 1 hour = 60 minutes
= 60 * 600 * 2 π * (11/12) ft
=> distance covered in miles in an hour
= [60 * 600 * 2 π * (11/12)] / (5280) ... [because 1 mile = 5280 ft.]
= 39.27 miles
=> speed of the car
= 39.27 miles per hour.

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(2pi(11) * (600*60)) / (5280*12)
1
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