Write the formulas for the period and frequency of a pendulum in terms of length
ID: 1470013 • Letter: W
Question
Write the formulas for the period and frequency of a pendulum in terms of length and acceleration due to gravity.
(a) What happens to the period of an pendulum if the length is doubled? T2l= ---------------Tl
(b) What happens to the period of an pendulum if the pendulum is taken to the moon?( g moon= g/6)
Tg/6= ------------Tg
(c) What happens to the frequency of an pendulum if the length is doubled? f2l= ------------fl
(d) What happens to the frequency of an pendulum if the pendulum is taken to the moon?
fg/6= ---------------fg
Explanation / Answer
Time periode, T = 2*pi*sqrt(L/g)
frequency, f = 1/T = sqrt(g/L)/(2*pi)
a) T2 = sqrt(2)*T1
= 1.414*T1
b) T_moon/T_earth = sqrt(g_earth/g_moon)
= sqrt(g_earth/(g_earth/6))
= sqrt(6)
T_moon = sqrt(6)*T_earth
= 2.45*T_earth
c) f2 = f1/sqrt(2)
= 0.707*f1
d) f2 = f1/sqrt(6)
= 0.408*f1
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