1) What is the sphere\'s angular velocity at the bottom of theincline? please in

Question

1) What is the sphere's angular velocity at the bottom of theincline? please in rad/s 2) What fraction of its kinetic energy isrotational? 1) What is the sphere's angular velocity at the bottom of theincline? please in rad/s 2) What fraction of its kinetic energy isrotational? An 8.50-cm-diameter, 360 g sphere is released from rest at the top ofa 1.60-m-long, 19.0 degree incline. It rolls,without slipping, to the bottom. 1) What is the sphere's angular velocity at the bottom of theincline? please in rad/s 2) What fraction of its kinetic energy isrotational?

Explanation / Answer

the height of the sphere is h = 1.60 m * sin (19) from the conservation of energy we have                   mgh = 1/2 mr + 1/2 I 2        where r = 4.25cm                  I = moment of inertia of the sphere                   is the angular velocity at the bottom plug in the values and calculate for                   2)       ( 1/2I2) / [ 1/2mr + 1/2I2 ]        where r = 4.25cm                  I = moment of inertia of the sphere                   is the angular velocity at the bottom plug in the values and calculate for                   2)       ( 1/2I2) / [ 1/2mr + 1/2I2 ]

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