SakChan4426 SakChan4426
  • 12-02-2020
  • Physics
contestada

By what factor should the length of a simple pendulum be changed in order to triple the period of vibration?

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MechEngineer
MechEngineer MechEngineer
  • 12-02-2020

Answer:

increased by 9 times

Explanation:

As the period of a simple pendulum is defined as the following formula

[tex]T = 2\pi\sqrt{\frac{L}{g}}[/tex]

where L is the length of the pendulum and g is the constant gravitational acceleration. Since L is under a square root, if you want to triple the period of vibration, L must be increased by 9 times so that [tex]\sqrt{9} = 3[/tex]

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