The diameter of each wheel of a bicycle is 26 inches. If you traveling at...

Bradley Collier

Bradley Collier

Answered

2022-12-30

The diameter of each wheel of a bicycle is 26 inches. If you traveling at a speed of 35 miles per hour on this bicycle, through how many revolutions per minute are the wheels turning?

Answer & Explanation

dejalacorrer9kv

dejalacorrer9kv

Expert

2022-12-31Added 7 answers

Rewrite the given units:
Calculate the speed in inches per minute:
35mph=3560mpm
1mile=63360in
So,
3560mpm=3560×63360 inpm
35mph=3560×63360 inpm
=37134.99 inpm
Find the number of revolutions:
The speed of the bicycle is 37134.99inpm
So in 1-minute wheel moves 37134.99inches
The diameter (D) of each wheel of a bicycle is 26 inches
So,
37134.99=nπD
n is the number of revolutions.
37134.99=nπDn=37134.99πD=37134.99π×26=452.84
So, n can be taken as 453.
Hence, the number of revolutions is 453.

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