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

Expert

2022-12-31Added 7 answers

Rewrite the given units:
Calculate the speed in inches per minute:
$35$mph$=$$\frac{35}{60}$mpm
$1$mile$=$$63360$in
So,
$\frac{35}{60}$mpm$=$$\left(\frac{35}{60}×63360\right)$ inpm
$35$mph$=$$\left(\frac{35}{60}×63360\right)$ inpm
$=37134.99$ inpm
Find the number of revolutions:
The speed of the bicycle is $37134.99$inpm
So in 1-minute wheel moves $37134.99$inches
The diameter (D) of each wheel of a bicycle is $26$ inches
So,
$37134.99=n\pi D$
$n$ is the number of revolutions.
$37134.99=n\pi Dn=\frac{37134.99}{\pi D}=\frac{37134.99}{\pi ×26}=452.84$
So, $n$ can be taken as $453$.
Hence, the number of revolutions is $453$.

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