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Problem 4-4 A simple pendulum is shown below. y Yo The angle of the pendulum obeys the following equation: 0(t) = 0 cas where g is the gravity of Earth, and L is the length of the pendulum in meters. O is the initial angle of the pendulum. For the purposes of this problem, you can assume that Earth's gravity g is approximately equal to x². (a) Suppose that you are told that (1) is the signal given below. 10 theta(t) 5 -5 -10 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 t (secs) What is the length of the pendulum? 5 5.5 6 (b) Now suppose that you have another pendulum with a length equal to , where L is the same as the value in the previous part. The initial angle is the same as in the previous part. Sketch (1) for this pendulum on the graph below. 10 theta (t) 5 0 -5 -10 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (secs) (c) Suppose that you take the first pendulum (with length L) to another location in the solar system and observe the following graph for (t). A reference table of the gravities in other locations is given below. 10 theta (t) ° -5 -10 5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (secs) Where are you? Location Mercury Venus Earth Moon Ratio of 0.378 0.907 1 Mars Jupiter Saturn Uranus Neptune Pluto 0.166 0.377 2.36 0.916 0.889 1.12 0.071 gravity to Earth's gravity

Problem 4-4 A simple pendulum is shown below. y Yo The angle of the pendulum obeys the following equation: 0(t) = 0 cas where g is the gravity of Earth, and L is the length of the pendulum in meters. O is the initial angle of the pendulum. For the purposes of this problem, you can assume that Earth's gravity g is approximately equal to x². (a) Suppose that you are told that (1) is the signal given below. 10 theta(t) 5 -5 -10 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 t (secs) What is the length of the pendulum? 5 5.5 6 (b) Now suppose that you have another pendulum with a length equal to , where L is the same as the value in the previous part. The initial angle is the same as in the previous part. Sketch (1) for this pendulum on the graph below. 10 theta (t) 5 0 -5 -10 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (secs) (c) Suppose that you take the first pendulum (with length L) to another location in the solar system and observe the following graph for (t). A reference table of the gravities in other locations is given below. 10 theta (t) ° -5 -10 5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (secs) Where are you? Location Mercury Venus Earth Moon Ratio of 0.378 0.907 1 Mars Jupiter Saturn Uranus Neptune Pluto 0.166 0.377 2.36 0.916 0.889 1.12 0.071 gravity to Earth's gravity

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter8: Basic Electric Motors
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Problem 4-4 A simple pendulum is shown below. y Yo The angle of the pendulum obeys the following equation: 0(t) = 0 cas where g is the gravity of Earth, and L is the length of the pendulum in meters. O is the initial angle of the pendulum. For the purposes of this problem, you can assume that Earth's gravity g is approximately equal to x². (a) Suppose that you are told that (1) is the signal given below. 10 theta(t) 5 -5 -10 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 t (secs) What is the length of the pendulum? 5 5.5 6
Transcribed Image Text:Problem 4-4 A simple pendulum is shown below. y Yo The angle of the pendulum obeys the following equation: 0(t) = 0 cas where g is the gravity of Earth, and L is the length of the pendulum in meters. O is the initial angle of the pendulum. For the purposes of this problem, you can assume that Earth's gravity g is approximately equal to x². (a) Suppose that you are told that (1) is the signal given below. 10 theta(t) 5 -5 -10 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 t (secs) What is the length of the pendulum? 5 5.5 6
(b) Now suppose that you have another pendulum with a length equal to , where L is the same as the value in the previous part. The initial angle is the same as in the previous part. Sketch (1) for this pendulum on the graph below. 10 theta (t) 5 0 -5 -10 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (secs) (c) Suppose that you take the first pendulum (with length L) to another location in the solar system and observe the following graph for (t). A reference table of the gravities in other locations is given below. 10 theta (t) ° -5 -10 5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (secs) Where are you? Location Mercury Venus Earth Moon Ratio of 0.378 0.907 1 Mars Jupiter Saturn Uranus Neptune Pluto 0.166 0.377 2.36 0.916 0.889 1.12 0.071 gravity to Earth's gravity
Transcribed Image Text:(b) Now suppose that you have another pendulum with a length equal to , where L is the same as the value in the previous part. The initial angle is the same as in the previous part. Sketch (1) for this pendulum on the graph below. 10 theta (t) 5 0 -5 -10 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (secs) (c) Suppose that you take the first pendulum (with length L) to another location in the solar system and observe the following graph for (t). A reference table of the gravities in other locations is given below. 10 theta (t) ° -5 -10 5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 t (secs) Where are you? Location Mercury Venus Earth Moon Ratio of 0.378 0.907 1 Mars Jupiter Saturn Uranus Neptune Pluto 0.166 0.377 2.36 0.916 0.889 1.12 0.071 gravity to Earth's gravity
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