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 .
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=2π√LgL expresses the pendulum length in meters g expresses the acceleration of gravity≈9.81ms2T=1ff expresses the frequency in Hz
1f=2π√Lg12πf=√Lg(12πf)2=LgL=g⋅(12πf)2L=9.81⋅(12π⋅0.19)2L=9.81⋅(0.83765759522)2L=9.81⋅0.70167024683L=6.88338512141 m
The length of the pendulum is 6.88 m