(1) Compare the Period equation governing the motion and the general equation for a straight line to explain why the graph you made will in fact be a straight line. Use this comparison to show what the value of the slope should be in terms of "g" and "r". What should the y-intercept of your graph be? L T=2π - g -Period equation y = mx + c General equation Periods of Oscillation for Different lengths Period Squared (2) 3.5 2.5 1.5 0.5 1 2 3 0 ò 0.4 0.5 0.6 0.7 0.8 0.9 Pendulum Length (m)

(1) Compare the Period equation governing the motion and the general equation for a straight line to explain why the graph you made will in fact be a straight line. Use this comparison to show what the value of the slope should be in terms of "g" and "r". What should the y-intercept of your graph be? L T=2π - g -Period equation y = mx + c General equation Periods of Oscillation for Different lengths Period Squared (2) 3.5 2.5 1.5 0.5 1 2 3 0 ò 0.4 0.5 0.6 0.7 0.8 0.9 Pendulum Length (m)

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter5: Further Applications Of Newton's Laws: Friction, Drag, And Elasticity

Section: Chapter Questions

Problem 10CQ: What are you feeling when you feel your pulse? Measure your pulse rate for 10 s and for 1 min. Is...

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Drag each label to the correct location on the equation. Not all labels will be used. The time, 7. in seconds, a pendulum takes to move back and forth once is 2/7 times the square root of the length of the pendulum, L. in feet, divided by the square root of the acceleration due to gravity. 32 feet/second². Enter the correct values in the equation with respect to the motion of the pendulum. 207 T 32 L 882 7.29 0.55 If it takes the pendulum 1.5 seconds to move back and forth once, the length of the pendulum is approximately feet.
A block attached to a vertical spring oscillates up and down, the length of a spring is shown below. The mass of the block is 5.0 kg. What is the spring constant of the spring, in N/m? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. L (m) 1.4 1.2 1.0- 0.8- 0.6 0.4 0.2 - 0.0 t (s) 6. 3.
Using a stopwatch, you measure the period of a grandfather clock. Your results are 0.6, 0.6 and 0.7 sec. c. What is your best estimate of the error? d. What is your percent error? e. What is your fractional error? f. Write down your measurement for the period, and express the error in terms of ±.
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
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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 =?
The period T of a simple pendulum is the amount of time required for it to undergo one complete oscillation. If the length of the pendulum is Land the acceleration of gravity is g, then T is given by Part A T= 2nLPgª Find the powers p and q required for dimensional consistency. Enter your answers numerically separated by a comma. nν ΑΣφ p, q = Submit Request Answer
Based on Graphs 3 and 4, is the radius directly or inversely proportional to the square of the period? Explain your reasoning.
Use the following prompt for questions 1-2. Alexandra and Sal are conducting an experiment to study pendulums. In their first experiment, Alexandra and Sal changed the length of the pendulum and measured its period. In their second experiment, the mass of the pendulum bob was varied, and period was measured. 1. Before running the experiments, Sal hypothesized that increasing the mass of the pendulum would result in an increase in the pendulum's period. Was Sal correct? A. Sal was correct because mass is the only variable that will affect the period of the pendulum. B. Sal was correct because mass and length both affect the period of the pendulum. C. Sal was incorrect because only the length of the pendulum will affect the period of the pendulum. D. Sal was incorrect because only the initial angle will affect the period of the pendulum. te Education TM Inc.
Use the following prompt for questions 1-2. Alexandra and Sal are conducting an experiment to study pendulums. In their first experiment, Alexandra and Sal changed the length of the pendulum and measured its period. In their second experiment, the mass of the pendulum bob was varied, and period was measured. 1. Before running the experiments, Sal hypothesized that increasing the mass of the pendulum would result in an increase in the pendulum's period. Was Sal correct? A. Sal was correct because mass is the only variable that will affect the period of the pendulum. B. Sal was correct because mass and length both affect the period of the pendulum. C. Sal was incorrect because only the length of the pendulum will affect the period of the pendulum. D. Sal was incorrect because only the initial angle will affect the period of the pendulum. inate Education TM, Inc.
Suppose you measure that a pendulum makes 5 oscillations in 10.26 seconds. In units of Hertz, what is the frequency of oscillation? Note: In the space below, please enter you numerical answer. Do not enter any units. If you enter units, your answer will be marked as incorrect.
YOUR TEACHER PRACTICE ANOTHER Body surface area is an important piece of medical information because it is a factor in temperature regulation as well as some drug level determinations. The Hosteller formula gives one way of estimating body surface area B, in square meters. The formula uses the welight w, in kilograms, and the height h, in centimeters. The relation is /hw Consider a man who weighs 80 kilograms (a) write a formula for B as a function of h. 60 (b) what height range will resut in a body surface area range from 1.7 to 2 souare meters? Ohsi80.00 cm Ons130.0s cm or h a 160.00 cm O no solution 130.05 cmshs180.00 cm On2130.05 cm