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Consider a basketball player spinning a ball on the tip of a finger. If a player performs 1.91 J1.91 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 m0.749 m and a mass of 0.624 kg0.624 kg .

Respuesta :

lcmendozaf

Answer:

ω = 4.07 rad/s

Explanation:

By conservation of the energy:

W = ΔK

[tex]1.91J = I/2*\omega^2[/tex]

where [tex]I = 2/3*m*R^2=0.23kg.m^2[/tex]

Solving for ω:

[tex]\omega = \sqrt{W*2/I} =4.07rad/s[/tex]