Is Missing Information Hindering My Physics Homework?

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SUMMARY

The discussion centers on a physics homework problem involving a cast iron flywheel rotating at 80 rev/sec, which is brought to rest in 20 seconds by a hydraulic braking system. The key parameters include a frictional torque of 4 Nm and a coefficient of friction of 0.4. The participant concludes that essential information, specifically the moment of inertia and the radius of the flywheel, is missing, making it impossible to calculate the force exerted by the brake accurately. The equations provided, including T=Fr and F=(co-efficient of friction)*N, are insufficient without these critical values.

PREREQUISITES
  • Understanding of rotational dynamics and torque calculations
  • Familiarity with the concepts of moment of inertia and angular velocity
  • Knowledge of frictional forces and their calculations in mechanical systems
  • Basic proficiency in using equations of motion for rotational systems
NEXT STEPS
  • Research the calculation of moment of inertia for various shapes, particularly for flywheels
  • Study the relationship between torque, force, and radius in rotational systems
  • Learn about the dynamics of hydraulic braking systems and their force calculations
  • Explore advanced topics in rotational motion, including angular momentum and energy conservation
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Students studying physics, particularly those focusing on mechanics and rotational dynamics, as well as educators seeking to understand common challenges in teaching these concepts.

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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.

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

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 can't seem to get anywhere with this. Do I need a moment of inertia or radius to get any further?
 
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There's indeed no way you can do it without the moment of inertia. I
 

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