What Torque is Needed to Rotate a Solid Bored Ball?

[sushilshinge]

I want to calculate the torque required to rotate a ball.
1. Ball is solid having mass M kg.
2. Ball is bored through about its axis.
3. Ball is rotating about the axis XX

Please see attached file.

 

[crissyb1988]

You must find the moment of inertia of a hollow cylinder which is,
$$I=1/2 m ( r_i^2 + r_0^2)$$
r_i and the r_0 are radial distances from centre.

Than the relationship between torque, moment of intertia and angular acceleration, which is,
$$T=I \alpha$$

Now looking at the picture I am not sure if ur including those caps on the top and bottom. In which case you must find their moment of intertia and add it to the cylinder

 

[sushilshinge]

Right side view is a section of a ball. The hatching part is a solid part of ball.When you will cut the ball in left view in middle then by looking left side it will look like in right view.

 

[crissyb1988]

Not sure I completely understand what your saying. Are the equations what you are after? Just find the moment of inertia of the top and bottom parts, if indeed I am understanding you correctly