Question

a water wheel has a radius of 18 feet. The wheel is rotating at 10 revolutions per minute. Find the linear​ speed, in feet per​ minute, of the water.

Answer 1

Answer:

The linear speed is $1,130.4\frac{ft}{min}$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=18\ ft$

$\pi =3.14$

substitute

$C=2(3.14)(18)$

$C=113.04\ ft$

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

so

10 revolutions is equal to

$(10)113.04=1,130.4\ ft$

therefore

The linear speed is $1,130.4\frac{ft}{min}$