A pendulum is made with a 4.00 kg mass suspended at the end of a thin rod.The period of the small motion simple harmonic motion is 1.00 sec.What is the length of the thin rod?
A) 24.8 cm
B) 29.7 cm
C) 31.4 cm
D) 34.1 cm
E) 36.2 cm

Question

Quizplus · Accepted Answer

The period of a simple pendulum is given by:T = 2π√(L/g)where L is the length of the pendulum and g is the acceleration due to gravity.Solving for L, we get:L = (gT^2)/(4π^2)Plugging in the given values, we get:L = (9.81 m/s^2 * (1.00 s)^2)/(4π^2) = 0.248 m = 24.8 cmTherefore, the length of the thin rod is 24.8 cm.

A Pendulum Is Made with a 4