How Does Friction Torque Affect Angular Speed in a Spinning Spherical System?

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SUMMARY

The discussion focuses on calculating the friction torque required to reduce the angular speed of a spinning spherical system from 80.0 rad/s to 55.0 rad/s over a time interval of 35.0 seconds. The system consists of a uniform spherical shell with a mass of 9.00 kg and diameter of 54.0 cm, along with four small masses of 2.00 kg each attached to its surface. The calculation employs the circular version of Newton's second law, specifically the relationship between net torque and the rate of change of angular momentum.

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  • Understanding of angular momentum and its calculation
  • Familiarity with Newton's second law in rotational motion
  • Basic knowledge of torque and its effects on angular speed
  • Concept of uniform spherical shells in physics
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  • Calculate the moment of inertia for a uniform spherical shell
  • Explore the relationship between torque and angular acceleration
  • Learn about the effects of friction on rotational motion
  • Study the principles of angular momentum conservation
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A uniform spherical shell of mass 9.00 with diameter 54.0 has four small masses of mass 2.00 attached to its outer surface and equally spaced around it. This combination is spinning about an axis running through the center of the sphere and two of the small masses
yf_Figure_10_43.jpg


What friction torque is needed to reduce its angular speed from 80.0 to 55.0 in a time interval of 35.0 ?
 
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Welcome to PF!

thecombover said:
… What friction torque is needed to reduce its angular speed from 80.0 to 55.0 in a time interval of 35.0 ?

Hi thecombover! Welcome to PF! :smile:

Circular version of good ol' Newton's second law …

net torque = rate of change of angular momentum …

so how much angular momentum do you need to change? :wink:
 

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