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A grandfather clock has a pendulum that consists of a thin brass disk of radius 21...

A grandfather clock has a pendulum that consists of a thin brass disk of radius 21 cm and mass 1 kg that is attached to a long, thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk. The pendulum should be designed so that its period is 2 s for small oscillations when the gravitational acceleration is 9.8 m/s2.

(a) What should the length of the rod be?

(b) If this were a simple pendulum, what would the rod's length have to be?

[Don't forget to account for the physical size of the disk.]

(c) What would the percent error be in using the equations for a simple pendulum?

Science   Advanced-Physics   
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