How long must a simple pendulum be if it is to make exactly six swings per second? (that is, one complete vibration takes exactly 0.333

The period of a simple pendulum is given by:

where L is the length of the pendulum and g is the gravitational acceleration.

The pendulum in our problem makes one complete vibration in 0.333 s, so its period is T=0.333 s. Using this information, we can re-arrange the previous formula to find the length of the pendulum, L:

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