- #1

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## Homework Statement

Suppose a 180 kg motorcycle is heading toward a hill at a speed of 29 m/s. The two wheels weigh 12 kg each and are each annular rings with an inner radius of 0.280 m and an outer radius of 0.330 m.

How high can it coast up the hill, if you neglect friction in m?

*m = 180 kg

*v = 29 m/s

*h = 32 m

2. Homework Equations

2. Homework Equations

mgh = 1/2 m v^2 + 1/2 I w^2

## The Attempt at a Solution

First thing I did is finding the moment of inertia for the wheels, which is 1/2 m (b^2 + a^2) then I multiplied it by 2 since there are two wheels.

I then plugged that number for "I" in the above equation. I found w by dividing the given velocity by the outer radius(not sure if that is right) and then I had all the variables and solved for h but got an unreasonable number! bigger that the actual height of the hill.