A sphere of radius 3.34 cm and a spherical shell of radius 7.97 cm are rolling w

Question

A sphere of radius 3.34 cm and a spherical shell of radius 7.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the sphere's angular speed to the spherical shell's angular speed be?

A sphere of radius 3.34 cm and a spherical shell of radius 7.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the sphere's angular speed to the spherical shell's angular speed be?

Explanation / Answer

I1/I2 = 2^2/1^2

I1/I2 = (2/3)* (7.97^2) / (2/5)*3.34^2) = 9.49

 2/1 = (9.49) = 3.08

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