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Worksheet: Oscillating Pendulums

Q1:

Two parakeets sit on a swing with their combined center of mass 10.0 cm below the pivot. At what frequency do they swing?

Q2:

A child on a swing moves from a point of maximum displacement from equilibrium and then returns to that point. How long does the motion take if the child’s center of gravity is 4.00 m below the pivot of the swing?

Q3:

Find the ratio of the periods of a pendulum if the pendulum is first used on Earth and then on the Moon. Use a value of 1.63 m/s2 for the acceleration due to gravity on the Moon.

Q4:

If a pendulum-driven clock gains 5.00 s/day, what fractional change in pendulum length must be made for it to keep perfect time?

Q5:

A pendulum has a period of 2.00000 s in a location where the acceleration due to gravity is 9.80000 m/s2. The pendulum is moved to a new location where its period is 1.99796 s. What is the acceleration due to gravity at its new location?