(a) You wish to determine the height of the smokestack of a local coal burning p
ID: 1789827 • 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 38.4 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
According to the given problem,
The equation of the period is shown below.
T = 2 * * (L/g)
On the earth, g = 9.8 m/s^2
The factors are the length of the rope and the value of g. Let’s use the time to determine the length of the rope.
38.4 = 2 * * (L/9.8)
L = 366.04
This is approximately 366 m. This is the height of the smoke stack.
b)Use the length of the rope and this value of g to determine the period.
T = 2 * * (366/1.67) = 93.0220
This is approximately 93 seconds.
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