Answer:
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