Question

a merry-go-round of 10 m radius with children sitting on it,is revolving at the rate of 1 revolution per minute. calculate the velocity of the children sitting on it?

Answer 1

Question #31970

a merry-go-round of 10 m radius with children sitting on it, is revolving at the rate of 1 revolution per minute. calculate the velocity of the children sitting on it?

Solution:

The linear velocity in rotational motion is expressed by the following formula:

$$v = \frac{2\pi R}{T}$$

where:

- $R$ is the radius;

- $T$ is the rotation period.

We're given that

$T = 60\ \mathrm{sec}$ (because we have 1 revolution per minute).

Therefore, substituting given values, we obtain:

$$v = \frac{2 * 3.14 * 10}{60} = 1.05\ \mathrm{m/sec}$$

Answer: velocity is 1.05 m/sec.