14.) A man enters a tall tower, needing to know its height. He notes that a long
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Question
14.) A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 11.5 s.
(a) How tall is the tower? (in meters)
(b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there? (in seconds)
15.) A pendulum clock that works perfectly on Earth is taken to the Moon. Assume that the free-fall acceleration on the Moon is 1.63 m/s2.
(a) Does it run fast or slow there?
Options: (fast, slow, or neither, it runs the same as on Earth)
(b) If the clock is started at 12:00 midnight, what will it read after 13.5 h? (Enter the time to the nearest minute.)
( AM)
16.) The sinusoidal wave shown in the figure below is traveling in the positive x-direction and has a frequency of 27.1 Hz.
(a) Find the amplitude. (cm)
(b) Find the wavelength. (cm)
(c) Find the period. (s)
(d) Find the speed of the wave. (m/s)
Explanation / Answer
here
T = 2 * pie *sqrt ( L / g)
T^2 = 4 * pie^2 * L / g
L = g *T^2 / 4 * pie^2
then put the values
L = 9.8 * 11.5^2 / 4 * 3.14 * 3.14
L = 32.86 m
the height of tower is 32.86 m
b)
on the moon g = 1.67 m/s^2
here the same formula
T = 2 * pie * sqrt( L / g)
T = 2 * 3.14 * sqrt( 32.86 / 1.67 )
T = 27.85 sec
so the time period on the moon is 27.85 sec
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