Reference no: EM131602833

Question: Suppose now the length of the pendulum in Problem remains constant, but that the acceleration due to gravity changes.

(a) Use the method of the preceding problem to relate ΔT approximately to Δg, the change in g.

(b) If g increases by 1%, find the percent change in T .

Problem: Writing g for the acceleration due to gravity, the period, T , of a pendulum of length l is given by

T = 2Π√(l/g)

(a) Show that if the length of the pendulum changes by Δl, the change in the period, ΔT , is given by

ΔT ≈ (T/2l)Δl

(b) If the length of the pendulum increases by 2%, by what percent does the period change?