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**1. Homework Statement**

This is the first part of a more complex problem but I shall give all the relevant data. A cast iron flywheel is rotating at 80rev/sec and is brought to rest in 20sec by a hydraulic braking system acting on the outer dia. of the flywheel. There is 4Nm of frictional torque in the flywheel system and co-efficient of friction of the brake interface is 0.4. I need to find the force that the brake is exerting on the flywheel. For info the brake is then connected to 2 hydraulic cylinders, of different areas, in series and then to a second order lever. However, if I can find the force at the brake I can crack the rest. I have not been given a moment of inertia or a radius for the flywheel and the more time I spend trying to solve this, the more I think that my tutor has made a mistake in not giving one of these.

**2. Homework Equations**

initial ang. velocity is 502.65 rads/sec before the braking

T=Fr and F=(co-eff. of friction)*N

Therefore T=co-eff.*N*r

**3. The Attempt at a Solution**

I started trying to use the above equations but the only T value I have is for frictional torque.

The only moment of inertia value I can get is also using this fric. torque which is incorrect, I think.

By converting rev/sec to rads/sec=502.65 I can also find the radians rotated by the flywheel. radians=1/2 (initial velocity+final velocity)*t

=5026.5 radians

Still cant seem to get anywhere with this. Do I need a moment of inertia or radius to get any further?