Calculate the magnitude of torque due to friction

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SUMMARY

The discussion focuses on calculating the torque due to friction in a rotating flywheel, given specific parameters. The initial angular speed is 2.0 rad/s, and the angular displacement from time ti to tf is 1.5 rad. The power due to friction at time tf is half that at time ti, leading to the need for calculations of the angular speed at tf, the work done by friction, and the torque itself. The rotational inertia of the flywheel is specified as 2.0 kgm², and the torque is assumed to be constant throughout the process.

PREREQUISITES
  • Understanding of angular velocity equations
  • Knowledge of rotational inertia concepts
  • Familiarity with power and work calculations in rotational dynamics
  • Basic principles of torque and friction in mechanical systems
NEXT STEPS
  • Calculate angular speed using the equation for angular displacement
  • Determine the work done by friction using the work-energy principle
  • Apply the relationship between torque, rotational inertia, and angular acceleration
  • Explore the effects of varying friction on rotational motion
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smad0002
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Homework Statement


A rotating flywheel slows down only because of friction in its bearings. At the initial time ti, the angular speed of the flywheel is 2.0 rad/s. The power due to friction at a later time tf is half of the power due to friction at time ti. The angular displacement of the flywheel from ti to tf is 1.5 rad. The rotational inertia of the flywheel is 2.0 kgm2. Assume the torque due to friction is constant. Calculate :
a) The angular speed of the flywheel at time tf.
b) The magnitude of the work done by friction from ti to tf.
c) The magnitude of the torque due to friction.

Homework Equations


I believe they are the angular velocity equations

The Attempt at a Solution


I tried it several times but I couldn't get the correct answer of 2.

Any help is greatly appreciated midterms are tomorrow :(
 
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smad0002 said:
I tried it several times but I couldn't get the correct answer of 2.
Show us the details of one or more of your attempts.
 
Which item are you trying to calculate to equal 2? Is it the torque, meaning that you successfully calculated parts a and b? What are the units of 2?
 

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