Question

A hamster runs at a speed of 17 centimeters per second in a wheel of radius 10 centimeters​

Answer 1

Answer:

$16.2\ \frac{rev}{min}$

Step-by-step explanation:

The complete question is

A hamster runs at 17 centimeters per second in a wheel of radius 10 centimeters how fast will the wheel spin in revolutions per minute​?

step 1

Find the circumference of the wheel

The circumference of the circle is equal to

$C=2\pi r$

we have

$r=10\ cm$

substitute

$C=2\pi (10)\\C=20\pi\ cm$

assume

$\pi=3.14$

$C=20(3.14)=62.8\ cm$

step 2

Find the number of revolutions

Remember that

One revolution of the wheel represent a distance equal to the circumference of the wheel

using proportion

$\frac{1}{62.8}\ \frac{rev}{cm}=\frac{x}{17}\ \frac{rev}{cm}\\\\x=17/62.8\\\\x=0.27\ rev$

so

The number of revolutions per second is $0.27\ \frac{rev}{sec}$

step 3

Convert to rev per minute

we know that

$1\ min=60\ sec$

to convert sec to min divide by 60

so

$0.27\ \frac{rev}{sec}=0.27:\frac{1}{60}=16.2\ \frac{rev}{min}$