A bicycle with tires of radius r=15 inches is being ridden by a boy at a constant speed - the tires are making five rotations per second. How many miles will he ride in minutes? (1mi = 5280 ft)

Wribreeminsl

Wribreeminsl

Answered question

2021-01-19

A bicycle with tires of radius r=15 inches is being ridden by a boy at a constant speed - the tires are making five rotations per second. How many miles will he ride in minutes? (1mi = 5280 ft)

Answer & Explanation

hosentak

hosentak

Skilled2021-01-20Added 100 answers

First, we find the speed in ft/s:
v=ω×r
v=((5rotationssec)(2πradians1rotation))(15(1ft12.)
v=12.5πfts
15 minutes = 900 seconds so the distance traveled is:
d=(12.5πfts)(900s)
d=11250πfts
In miles,
d=11250πft(1mi5280ft)6.7mis

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