Question

watch the video and then solve the problem given below. click here to watch the video. a water wheel has a radius of 6 feet. the wheel is rotating at 5 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 $C = 2\pi r$. Given $r = 6$ feet, so $C=2\pi\times6 = 12\pi$ feet.

Step2: Calculate the linear speed

The wheel makes 5 revolutions per minute. The linear speed $v$ is the number of revolutions per minute times the circumference. So $v = 5\times C=5\times12\pi=60\pi$ feet per minute.

Step3: Round the result

$v\approx60\times 3.14159 = 188.4954\approx188$ feet per minute.

Answer:

188