Time period of a torsional pendulum

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SUMMARY

The discussion focuses on the factors influencing the time period of a torsional pendulum, specifically examining mass, wire length, wire type, and wire thickness. The formula T=2∏√(I/k) is highlighted, where I represents the moment of inertia and k denotes the torsional constant. Participants seek guidance on determining the torsional constant of various wires, with the formula k = G*J/L provided, where G is the shear modulus, J is the polar moment of inertia, and L is the length of the wire. Additionally, the sensitivity of pendulum clocks to temperature variations is noted as a factor affecting performance.

PREREQUISITES
  • Understanding of torsional pendulum mechanics
  • Familiarity with the formula T=2∏√(I/k)
  • Knowledge of shear modulus and its application
  • Basic principles of moment of inertia
NEXT STEPS
  • Research methods to calculate the torsional constant (k) for different wire types
  • Explore the impact of temperature on the performance of torsional pendulums
  • Investigate the relationship between wire thickness and torsional rigidity
  • Learn about the properties of different materials used in pendulum construction
USEFUL FOR

Physics students, mechanical engineers, and hobbyists interested in pendulum mechanics and experimental physics will benefit from this discussion.

jackdean29
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For a piece of practical work, I'm investigating which factors alter the time period of a torsional pendulum.

So far, I'm changing the mass of the pendulum, the length of wire, type of wire and thickness of wire, can anyone recommend anything else?

Also, I'm looking at the formula T=2∏√(I/k) where I is the moment of inertia and k is the torsional constant of the wire, but have absolutely no idea where to find the torsional constant of the wire, any ideas?

Thankyou so much! :)
 
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I have one anniversary clock that is a pendulum type and runs for a year without winding. It is sensitive to temperature. But that has the effect of lengthening the support wire. The wire that twists in the clock I have is flat, not round.

k = G*J/L
G is the shear modulus.
 

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