A pendulum consists of a 320 g solid ball 15.0 cm in diameter, suspended by an e

Question

A pendulum consists of a 320 g solid ball 15.0 cm in diameter, suspended by an essentially massless string 60.0 cm long.

Part A

Calculate the period of this pendulum, treating as a simple pendulum. Express your answer using four significant figures.

T_simple =

Part B

Calculate the period of this pendulum, treating as a physical pendulum. Hint: Remember the parallel-axis theorem. Express your answer using four significant figures.

T_phys =

Part C

How much error is introduced by the simple pendulum approximation?

(T_phys-T_simple)/T_ phys = (%)

Explanation / Answer

a) A simple pendulum is one which can be considered to be a point mass suspended from a string or rod of negligible mass. It is a resonant system with a single resonant frequency. For small amplitudes, the period of such a pendulum can be approximated by: T = 2 pi x racine L/g L= 40cm g = 9.81 ms2 T = 1.26874 s http://hyperphysics.phy-astr.gsu.edu/hba… b) A physical pendulum in the form of a uniform rod suspended by its end has period L=40 g= 9.81ms2 T= 1.03592 s http://hyperphysics.phy-astr.gsu.edu/hba… c) T(phys)-T(simple)/Tphys= (1.03592 - 1.26874 )/ 1.03592 = 0.224

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