Does the period of a pendulum depend upon the mass of the pendulum? How can you obtain the answer to this question? If you suggest experimentation, write a procedure for the experiment. Draw a graph of the period of the pendulum vs. length. Is it linear? (Hint: No, but what doe it look like?) Given the formula for the period of the pendulum would you expect the relationship between period and length to be linear? What are the top two sources of error in this experiment?

Does the period of a pendulum depend upon the mass of the pendulum? How can you obtain the answer to this question? If you suggest experimentation, write a procedure for the experiment. Draw a graph of the period of the pendulum vs. length. Is it linear? (Hint: No, but what doe it look like?) Given the formula for the period of the pendulum would you expect the relationship between period and length to be linear? What are the top two sources of error in this experiment?

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Description: Does the period of a pendulum depend upon the mass of the pendulum? How can you obtain the answer to this question? If you suggest experimentation, write a procedure for the experiment.Draw a graph of the period of the pendulum vs. length. Is it lin

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter14: Vibrations And Waves

Section: Chapter Questions

Problem 7STP

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The period T of a pendulum is the time it takes to move from one side to the other and back. A formula for the period is T=2πL32 where T is in seconds and L is in feet. Use 3.14 for π. Find the period of a pendulum of length 50 feet.
You want to measure the period of pendulum with a stopwatch. Which technique will help minimize the error in the measurement? a. Measure the time for 10 swings across and back and divide by 10 b. Measure half of one swing across and multiply that time by 4. c. Measure one swing across and back, no multiplying is necessary. d. Do multiple measurements and take the average period. e. Both (a) and (d) will help.
You have carried out an experiment to investigate the effect of the length of a pendulum on the time period of oscillation. Theory says that the pendulum should follow the rule T= 2π√L/g Where T is the time period (seconds) L is the length of the pendulum (metre) G is the acceleration due to gravity (g = 9.81 m/s²) Calculate the expected percentage error in the time period calculation if your measurement of length is 4% high.
Write an equation that relates the quantities The period of a pendulum is the time required for one oscillation; the pendulum is usually referred to as simple when the angle made to the vertical is less than 5°. The period T of a simple pendulum (in seconds) varies directly with the square root of its length l (in feet). The constant of proportionality is 2π/232 .
The period of a pendulum is given by the equation shown below, where L is the length of the pendulum in meters, g is the acceleration due to gravity, and T is the time in seconds. The pendulum has been subjected to an increase in temperature such that the length has increased by 1% (a) Find the approximate percent change in the period. (b) Using the result in part (a), find the approximate error in this pendulum clock in 1 day.
The figure shows a bar suspended from a pivot ? with a calibrated spring attaching the bar to the wall. The length of the bar is 0.970 ?, its mass is 0.775 ??, and the tension measured by the calibrated spring is 3.25 ?. Use the standard coordinate system with +? to the right and +? up the page. (a) Write the symbolic equation that represents equilibrium for the forces in the ? − ?????????. (b) Write the symbolic equation that represents equilibrium for the forces in the ? − ?????????. (c) Write the symbolic equation that represents equilibrium for the torques around point ?. Please use ? = 45.0 degrees, ? = 63.0 degrees, ? = 9.80 ?/? 2 , and calculate the horizontal and vertical components of the force the pivot exerts on the bar and the location of the center of mass of the bar, measured from the pivoted end.
Ten measurements of the period of a simple pendulum were as follows: 2.13 s, 2.07 s, 2.24 s, 2.20 s, 2.08 s, 2.11 s, 2.15 s, 2.19 s, 2.22 s, 2.16 s (1) Calculate the standard deviation (SD) of the measurement results, and the standard error which is given by:standard error = SD/n
What is the total length of a pendulum whose oscillation period is equal to 16s?answer in meters.
What are the possible sources of error a person can get in measuring the period of a pendulum?
The period of a clock pendulum T is given by the equation T = 2π√Lg where the constant L is thelength of the pendulum and g is the acceleration due to gravity. The period of the clock pendulumvaries slightly depending on where it is located on earth’s surface, due to small changes in g.(a) If g increases, will T increase or decrease? Does this correspond to the clock speeding up orslowing down? Explain your reasoning.(b) Find the linear approximation for T (g) centered at g = 980 cm/sec2, if the length of the pendulumis 400 cm.(c) When a clock with a 400 cm pendulum is moved from a location where g = 980 cm/sec2to anew location, its period increases by .001 sec. Estimate the amount by which g changes andapproximate the value of g at the new location.
The period of oscillation of a simple pendulum is T L/g. = 2π Measured value of L is 20.0 cm known to 1mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1s resolution. What is the accuracy in the determination of g ?
If you had taken only one measurement for the period of the pendulum, with the same apparatus, what would be the uncertainty of that measurement? In reality, you took 40 measurements. That said, what is the uncertainty in any one of your individual measurements… what value would you give as your uncertainty?