(a) You wish to determine the height of the smokestack of a local coal burning p
ID: 1295943 • Letter: #
Question
(a) You wish to determine the height of the smokestack of a local coal burning power plant. You convince a member of the maintenance crew to mount the support for a simple pendulum at the top of the stack and you suspend a 1.00 kg mass that just misses the ground at its lowest point from the pendulum cord. If the period of the pendulum is 19.8 s, determine the height of the smokestack.
m
(b) If you had the ability to take this pendulum to the moon, where the acceleration due to gravity is 1.67 m/s2, what would you expect the period of the pendulum to be?
s
Explanation / Answer
T = 2 pi sqrt( L / g )
T = 21.5 s
g = 9.81 m/s^2
T^2 = 4 pi^2 L / g
L = g T^2 / ( 4 pi^2 ) = 9.81 * 21.5^2 / (4*pi^2 ) = 114.86 m
(a) Hieght of the smokestack = L = 114.86 m
(b) T = 2pi sqrt(L/g) = 2 * pi * sqrt(114.86/1.67) = 52.1 s
period of the pendulum = 52.1 s
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