Question

A father fashions a swing for his kids out of a long rope that he fastens to the limb of a tall tree. As one of the kids swings from this rope that is 5.50 m long his tangential speed at the bottom of the swing is 7.15 m/s. What is his angular speed in rad/s?

Answer 1

Answer:

the angular speed in rad/s is 1.3

Explanation:

given information:

rope's length, r = 5.5 m

tangential speed, v = 7.15 m/s

to find the angular speed (ω) of the kids on the swing, we use the formula below

ω = $\frac{v}{r}$

where

ω = angluar speed (rad/s)

v - tangential speed (m/s)

r = radius (m)

thus,

ω = $\frac{7.15}{5.5}$

   = 1.3 rad/s