Consider a basketball player spinning a ball on the tip of a finger. if a player performs 1.99 j of work to set the ball spinning from rest, at what angular speed ω will the ball rotate? model a basketball as a thin-walled hollow sphere. for a men's basketball, the ball has a circumference of 0.749 m and a mass of 0.624 kg .

To solve this problem it is necessary to apply the concepts related to rotational kinetic energy, the definition of the moment of inertia for a sphere and the obtaining of the radius through the circumference. Mathematically kinetic energy can be given as:

Where,

I = Moment of inertia

Angular velocity

According to the information given we have that the radius is

With the radius obtained we can calculate the moment of inertia which is

Finally, from the energy equation and rearranging the expression to obtain the angular velocity we have to

Therefore the angular speed will the ball rotate is 25.95rad/s

are their multiple choices ?

explanation: