What is the Potential Energy of a Twisted Spiral Spring?

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SUMMARY

The potential energy of a twisted spiral spring can be calculated using the torque applied and the angle of twist. In this case, a torque of 60 Nm is applied to twist the spring by 7°. The potential energy (PE) can be derived from the relationship between torque, angle, and the spring constant, which can be determined through the formula PE = 0.5 * k * θ², where k is the spring constant. The discussion emphasizes the need to find the spring constant to complete the calculation.

PREREQUISITES
  • Understanding of torque and its units (Nm).
  • Familiarity with the concept of potential energy in rotational systems.
  • Knowledge of the spring constant and its significance in spring mechanics.
  • Basic grasp of angular displacement and its measurement in degrees.
NEXT STEPS
  • Research how to calculate the spring constant from torque and angle.
  • Learn about the formula for potential energy in rotational motion.
  • Explore the relationship between torque, angular displacement, and potential energy.
  • Study examples of potential energy calculations in twisted springs.
USEFUL FOR

Physics students, mechanical engineers, and anyone studying rotational dynamics and spring mechanics will benefit from this discussion.

Sumbhajee
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Homework Statement



A spiral spring is twisted from its equilibrium position through θ = 7° by an average torque of 60 Nm. What is its potential energy in Joules?
http://schubert.tmcc.edu/res/msu/mmp/kap8/picts/spring2.gif

Homework Equations





The Attempt at a Solution



I am not even sure how this is possible without the spring constant.. Any help would be greatly appreciated.
 
Last edited by a moderator:
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You know the torque and how much the string is twisted. Surely you can find the spring constant?
 
In linear motion problems we have a formula for work in terms of force and displacement. You need to find the formula that is analogous to this but used for rotational motion.
 

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