Question

A thread is being pulled off a spool at the rate of

59.4 cm per sec. Find the radius of the spool if it makes 152 revolutions per min.

Answer 1

Answer:

The radius of the spool is 3.7 cm

Step-by-step explanation:

Consider the provided information.

The rate is 59.4 cm per sec and it makes 152 revolutions per min.

We need to find the radius.

Now use the formula: $r=\frac{v}{\omega}$

Substitute $\omega=152\ and\ v=59.4$ in above formula and change the revolutions per min to rad per second.

$r=59.4\frac{cm}{sec}(\frac{1}{152}\times \frac{min}{rev}\times\frac{60sec}{1min}\times\frac{1rev}{2\pi rad})$

$r=\frac{3564}{304\pi}cm$

$r\approx 3.7cm$

Hence, the radius of the spool is 3.7 cm