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# Velocity of a rotating can -

A metal can containing condensed mushroom soup has mass 220 g, height 11.2 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00 m long incline that is at 26.0° to the horizontal, and is then released to roll straight down. Assuming mechanical energy conservation, calculate the moment of inertia of the can if it takes 1.50 s to reach the bottom of the incline.
kg · m^2
Which pieces of data, if any, are unnecessary for calculating the solution?
1.the angle of the incline
2.the height of the can
3.the mass of the can
4.none of these
5.the time the can takes to reach the bottom

#### Solution Preview

We are told to find the moment of inertia of the can assuming mechanical energy conservation. Energy conservation tells us that the amount of energy possessed by a mass is always conserved (or a constant).
As the can is at rest, the energy of the body must be purely potential in nature. We have a formula to find the potential energy of masses sitting at a height h. It is

PE = m g h --------- (1)
where g is the acceleration due to gravity.

for this we need, m h and g, ...

#### Solution Summary

Answer and explanations are given as a Word attachment.

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