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 7.00 m long his tangential speed at the bottom of the swing is 8.65 m/s. What is his angular speed in rad/s

1.236 rad/s

Explanation:

From the question above,

v = ωr Equation 1

Where v = tangental speed, ω = angular speed, r = radius = length of the rope.

Make ω the subject of the equation

ω = v/r Equation 2

Given: v = 8.65 m/s, r = 7.00 m

Substitute these values into equation 2

ω = 8.65/7

ω = 1.236 rad/s

Hence the angular speed is 1.236 rad/s