Question

a water wheel has a radius of 17 feet. the wheel is rotating at 15 revolutions per minute. find the linear speed, in feet per minute, of the water. the linear speed is approximately feet per minute. (round to the nearest whole number as needed.)

Explanation:

Step1: Find the circumference of the wheel

The formula for the circumference of a circle is $C = 2\pi r$, where $r = 17$ feet. So $C=2\pi\times17 = 34\pi$ feet.

Step2: Calculate the linear speed

The wheel makes 15 revolutions per minute. In one revolution, a point on the wheel travels a distance equal to the circumference. So the linear speed $v$ is the product of the circumference and the number of revolutions per minute. $v = 15\times C=15\times34\pi$.
$v = 510\pi\approx510\times 3.14159 = 1602.2109$.

Answer:

1602