Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Question
Chapter 4, Problem 3EP
To determine
The dependence of the period of oscillation of the pendulum on the length of the pendulum, and the period of the pendulum when its length is doubled.
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Check out a sample textbook solutionStudents have asked these similar questions
Consider a pendulum whose length is 22 ft.
What is the formula for the period of oscillation for a pendulum? (Use the following as necessary: L for the length of the pendulum and g for the acceleration of gravity. Do not substitute
numerical values; use variables only.)
T = 2√
Determine the period in s.
4.4
x
Your response differs from the correct answer by more than 10%. Double check your calculations. s
What is the formula that shows the relationship between the natural frequency and the period of oscillation? (Use the following as necessary: T. Do not substitute numerical values; use
variables only.)
f =
Determine the natural frequency in Hz.
0.227
Your response differs from the correct answer by more than 10%. Double check your calculations. Hz
The relationship between the length of a pendulum L and the time T for one complete oscillation can be determined from the data in the table to the right.
a. Find the least squares line equation and graph it simultaneously with the data points, with L as the horizontal axis and T as the vertical axis. Does it seem to fit the data?
b. Find the correlation coefficient and interpret it. Does it confirm your answer to part
a?
L (ft)
T (sec)
1.0
1.13
1.5
1.36
2.0
1.57
2.5
1.76
3.0
1.92
3.5
2.08
4.0
2.22
For Parts I and II, use the pendulum equation and solve to predict the length needed for a pendulum with a period of 1 s and 2 s respectively. Use a piece of string (or thread, dental floss, shoe lace, etc.) and a steel nut (or washer or something small but with enough mass to weigh down the string) to build each pendulum. Time each pendulum for 30 periods and then find the average time for one period. Remember, a period is the time to complete one cycle of motion, out and back. Tape each pendulum up in perhaps a doorway where it is stationary and has room to swing. Be precise with your measuring and timing. Show your work.
Part I
Given:
T = 1.00 s
l =?
Part II
Given:
T = 2.00 s
l =?
Chapter 4 Solutions
Physics Laboratory Experiments
Ch. 4 - Scientists use models and theories to describe...Ch. 4 - Prob. 2EPCh. 4 - Prob. 3EPCh. 4 - The mass (m) of the pendulum bob may be varied....Ch. 4 - Check with one of your fellow students (or your...Ch. 4 - Describe what is meant by the scientific method...Ch. 4 - What are the physical parameters in the...Ch. 4 - Prob. 3ASACh. 4 - How does the period of a pendulum vary...Ch. 4 - How will you experimentally check the theoretical...
Ch. 4 - Prob. 6ASACh. 4 - How can the parabolic form y = ax2 be plotted as a...Ch. 4 - What is meant by damped harmonic motion, and what...Ch. 4 - It was suggested that you measure the time for...Ch. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Suppose in the damped equation had ek1t and ek2t,...Ch. 4 - Prob. 7Q
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