Torsional spring and maximum velocity of wheel

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SUMMARY

The discussion focuses on solving a problem related to torsional springs and the maximum velocity of a wheel using the energy conservation method. Participants confirm that the energy transfer from the spring's potential energy (PE) to the wheel's kinetic energy (KE) occurs until the net rotation of the wheel returns to zero. The torque applied by the spring remains positive during the acceleration phase, facilitating this energy transfer. The approach emphasizes the importance of understanding the dynamics of torque and energy conservation in mechanical systems.

PREREQUISITES
  • Torsional spring mechanics
  • Energy conservation principles
  • Basic calculus for understanding motion
  • Torque dynamics in rotational systems
NEXT STEPS
  • Study the principles of energy conservation in mechanical systems
  • Explore the dynamics of torsional springs and their applications
  • Learn about calculating torque in rotational motion
  • Investigate the relationship between potential energy and kinetic energy in mechanical systems
USEFUL FOR

Mechanical engineers, physics students, and anyone interested in the dynamics of rotational motion and energy transfer in mechanical systems.

surya teja saithana
h
Moderator's Note: HOMEWORK POSTED IN WRONG THREAD, SO NO TEMPLATE
Thread title changed to make it descriptive of the problem.

media%2Fdf7%2Fdf764b9c-d73b-4777-9eb1-f1b97d2073ec%2Fimage.jpg

can i solve this question using energy conservation method as shown.
media%2Faf5%2Faf5a2873-1544-4dbb-9333-ef4376d51b80%2Fphpvs8w6i.png

media%2F700%2F70086f40-8147-41bb-ae7e-a3d61e33c41a%2FphprgjoBs.png
 
Last edited by a moderator:
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Your work and result look good to me.

I would probably have skipped the calculus myself, realizing that the wheel would be accelerating so long as the torque applied by the spring was positive and so transferring energy from the spring to the wheel. Hence the energy transfers from the spring to the wheel until the net rotation returns to zero, whereupon all the spring PE has moved to the wheel KE.
 

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