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Find the length of a pendulum that oscillates with a frequency of 0.19 Hz. The acceleration due to gravity is 9.81 m/s 2 .

 Apr 3, 2017
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Find the length of a pendulum that oscillates with a frequency of 0.19 Hz.

The acceleration due to gravity is 9.81 m/s 2 .

 

Formula:

For small amplitudes, the period of such a pendulum can be approximated by:

T=2πLgL expresses the pendulum length in meters g expresses the acceleration of gravity9.81ms2T=1ff expresses the frequency in Hz

1f=2πLg12πf=Lg(12πf)2=LgL=g(12πf)2L=9.81(12π0.19)2L=9.81(0.83765759522)2L=9.810.70167024683L=6.88338512141 m

 

 The length of the pendulum is 6.88 m

 

laugh

 Apr 3, 2017

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