Question

Based on the results of the measurements, not all variables will affect the period of a
pendulum. In fact, while the period is directly proportional to the string length, it is not affected
by the amplitude. Can someone interpret this in a more simple way please!

Answer 1

the time period of a simple sendulum is given by

T=2*3.14* sqrt(L/g) where L is the length of the string and g is the acceleration due to gravity. from the above eqn it is clear that period and length are dependent.

now the amplitude of a simple pendulum is the maximum displacement from its equilibrium position.. but the time period is not related to the amplitude..it is clear from the eqn

Answer 2

Quote: "In fact, while the period is directly proportional to the string length"

This assertion is false. True, it is "dependant on", but it is not "proportional to" the length.

Answer 3

Thank you so much!