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When a pitcher throws a curve ball, the ball is given a fairly rapid spin. A 0.15 kg baseball with a radius of 3.7 cm is thrown with a linear speed of 41 m/s and an angular speed of 37 rad/s. Assume that the ball is a uniform, solid sphere.

(b) Calculate how much of its kinetic energy is rotational.

rotational is 1/2 I w^2 yes?
I of sphere is 2/5mr^2 yes?
so would it not be 1/2[(2/5 X .15 X .037^2) X (41/.037)^2]

please help!

  • PHYSICS 1 - ,

    "Yes" to your first two questions.
    You used a wrong number for the angular speed w. It is 37 rad/s, as stated.

    You only use the relation w = V/R for rolling objects (cylinders and spheres)that are not slipping

    The speed of the ball, V = 41 m/s, has nothing to do with the rotational kinetic energy

  • PHYSICS 1 - ,

    thank you so much! i figured it out!

  • PHYSICS 1 - ,

    My pleasure and congratulations! It is great to help students who show their work

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