A soccer ball whose radius is 11 cm rolls a distance of 10 m in 3.50 s. What is the angular speed of the ball?
A) 5.1 m/s
B) 13 m/s
C) 26 m/s
D) 39 m/s
E) 52 m/s

Question

Quizplus · Accepted Answer

First, we need to calculate the linear speed of the ball using the formula: 
linear speed = distance/time 
linear speed = 10 m/3.50 s 
linear speed = 2.86 m/s

Next, we can use the formula to calculate the angular speed, where omega is the angular speed in radians per second, and r is the radius of the ball: 
omega = linear speed / r 
omega = 2.86 m/s / 0.11 m 
omega = 26 rad/s

Therefore, the angular speed of the ball is 26 m/s.

A Soccer Ball Whose Radius Is 11 Cm Rolls a Distance