Rotation due to a magnetic field

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SUMMARY

The discussion focuses on calculating the angular acceleration of a rectangular coil with a mass of 270 kg and dimensions of 0.5 m x 0.1 m, placed in a 4.00-T magnetic field while carrying a current of 2.90 A. The key equation used is angular acceleration = torque / moment of inertia. Participants express uncertainty regarding the moment of inertia calculation due to the mass distribution of the coil, indicating a need for clarification on how to approach this aspect of the problem.

PREREQUISITES
  • Understanding of torque and its relation to magnetic fields
  • Knowledge of moment of inertia calculations for rectangular shapes
  • Familiarity with angular motion equations
  • Basic principles of electromagnetism
NEXT STEPS
  • Research how to calculate the moment of inertia for a rectangular coil
  • Study the relationship between torque and magnetic fields in coils
  • Learn about the effects of current on magnetic forces in coils
  • Explore angular acceleration concepts in rotational dynamics
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Students studying physics, particularly those focusing on electromagnetism and rotational dynamics, as well as educators seeking to clarify concepts related to magnetic fields and coil behavior.

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Homework Statement



A uniform rectangular coil of total mass 270 and dimensions .5 m x .1 m is oriented perpendicular to a uniform 4.00-T magnetic field (the figure ). A current of 2.90 A is suddenly started in the coil.

Homework Equations



angular acceleration = torgue / moment of inertia

The Attempt at a Solution



I really don't know what to do on this one, simply because I don't know what to do for the moment of inertia term. I thought about breaking it up into the moment of inertia of the base and height sides, but I don't know how the mass is distributed so I can't do that.

If anyone can help that would be great.
 
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