Question

A waterwheel is being turned by a stream at a rate of 3 revolutions per minute. If the diameter of the wheel is 15 ft, then how fast is the stream flowing

Answer 1

Answer:

0.7176 m/s m/s

Step-by-step explanation:

We are given;

Rate = 3 rev/min

Diameter: d = 15 ft

Now, we want to find how fast the stream is flowing which is the linear velocity.

Thus;

linear velocity = circumferential distance × number of revolutions

Now, circumferential distance = πd

Circumferential distance = 15π

Thus;

linear velocity = 15 × π × 3 = 45π ft/min

Converting to m/s gives;

Linear velocity = 45π/197 m/s

Linear velocity = 0.7176 m/s