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Table 1 L (m) T(s) T² (s'). 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1

Table 1 L (m) T(s) T² (s'). 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Could you answer the first row of Table 1? I don't understand the formula on how to solve it. Thanks

so, we can write according to Newton's second law Open with Google Docs d², -(3) The vibration of a pendulum describes the simple harmonic motion (S.H.M.), the period (T) is given by T = 2 n 4 π2 T2 = (4) g Where T: is the periodic time I: is the length from the point of suspension to the center of the bob. g: acceleration of gravity. To satisfy the objective of this experiment, follow the link below and do the following steps. https://phet.colorado.edu/sims/html/pendulum-lab/latest/pendulum-lab en.html 1- Click on lab screen and use the length controller to control the length of the pendulum (I), set 1 =1m. Record the length in table 1. 2- Control the angle (click on the mass and drag along the protractor to fix the angel), the angle must be very small (<10). (0=8°) and click on Length and mas controllers slow mode of the simulation. 3- Click on period timer (on the lower left corner of the lab screen) to measure the periodic time of one full oscillation (T). Record the periodic time in table. 4- Repeat the previous steps for different lengths of (1) as shown in the table 1. Record your data Data Analysis: 1. Calculate the square of the periodic time (T²). 2. Use Excel sofware to plot a graph of T? versus l, T? as the ordinate and I as the abscissa. 3. Use the equation of the graph to determine its slope, use the slope of the line to calculate the acceleration due to gravity g which is given by: Pendulum Lab PHET: g = slope Table 1 L (m) T(s) T² (s²) 4. Consider the known value for g = 9.81 m/s? calculate the percentage 1.0 error in g. slope = 0.9 · gexp = 0.8 8g% = 0.7 0.6 0.5 Questions: 1) What requirement must a force acting on a object satisfy in order for the object to undergo simple harmonic motion? 0.4 0.3 0.2 0.1 + 2) Define the periodic time of Page 2 scilation. It depends on what?"|
Transcribed Image Text:so, we can write according to Newton's second law Open with Google Docs d², -(3) The vibration of a pendulum describes the simple harmonic motion (S.H.M.), the period (T) is given by T = 2 n 4 π2 T2 = (4) g Where T: is the periodic time I: is the length from the point of suspension to the center of the bob. g: acceleration of gravity. To satisfy the objective of this experiment, follow the link below and do the following steps. https://phet.colorado.edu/sims/html/pendulum-lab/latest/pendulum-lab en.html 1- Click on lab screen and use the length controller to control the length of the pendulum (I), set 1 =1m. Record the length in table 1. 2- Control the angle (click on the mass and drag along the protractor to fix the angel), the angle must be very small (<10). (0=8°) and click on Length and mas controllers slow mode of the simulation. 3- Click on period timer (on the lower left corner of the lab screen) to measure the periodic time of one full oscillation (T). Record the periodic time in table. 4- Repeat the previous steps for different lengths of (1) as shown in the table 1. Record your data Data Analysis: 1. Calculate the square of the periodic time (T²). 2. Use Excel sofware to plot a graph of T? versus l, T? as the ordinate and I as the abscissa. 3. Use the equation of the graph to determine its slope, use the slope of the line to calculate the acceleration due to gravity g which is given by: Pendulum Lab PHET: g = slope Table 1 L (m) T(s) T² (s²) 4. Consider the known value for g = 9.81 m/s? calculate the percentage 1.0 error in g. slope = 0.9 · gexp = 0.8 8g% = 0.7 0.6 0.5 Questions: 1) What requirement must a force acting on a object satisfy in order for the object to undergo simple harmonic motion? 0.4 0.3 0.2 0.1 + 2) Define the periodic time of Page 2 scilation. It depends on what?"|
pled Phy and Worksheet (Simple Harmonic Motion) Using Phet Interactive Simulation Dep. Of Applied Physics and Astronomy University of Sharjah Name: ID#: This activity consists of two parts. Part one: Simple Pendulum. Part two: Mass on a spring. To be familiar with simple harmonic motion, periodic time of an oscillation, angular velocity, the parameters that affect the oscillatory motion (length of the pendulum, the mass on a spring, the angle with the equilibrium position for simple pendulum and the distance from equilibrium position for mass on a spring) using Phet simulation, kindly, open the following links and play with them. For Simple Pendulum follow the link below. https://phet.colorado.edu/sims/html/pendulum-lab/latest/pendulum-lab_en.html For Mass on a Spring follow the link below. https://phet.colorado edu/sims/html/masses-and-springs/latest/masses-and-springs en html Part I Simple Harmonic Motion (Simple Pendulum) Objectives: In this experiment the student can observe and study the periodic motion in a plane and investigate the relation between the period of a simple pendulum and its length. Also, the student can determine the acceleration due to gravity by this experiment. Theory: An ideal pendulum is a point mass (m) suspended at one end of a massless string with the other end of the string fixed as shown in Fig. 1. The motion of the system takes place in a vertical plane when the mass (m) is released from an initial angle 0. The angular amplitude 0 is defined by the angle which the string makes with the vertical. The weight of the pendulum acts downward, and it can be resolved into two components. The component (mgcose) is equal in magnitude to the tension in the string. The other component acts tangent to the arc along which the mass (m) moves. This component provides the force which mgsin6 drives the system. In equation form: the force (F) along the direction of mgcose mg motion is: Page 1 I 4 Q + Fig. 1 স
Transcribed Image Text:pled Phy and Worksheet (Simple Harmonic Motion) Using Phet Interactive Simulation Dep. Of Applied Physics and Astronomy University of Sharjah Name: ID#: This activity consists of two parts. Part one: Simple Pendulum. Part two: Mass on a spring. To be familiar with simple harmonic motion, periodic time of an oscillation, angular velocity, the parameters that affect the oscillatory motion (length of the pendulum, the mass on a spring, the angle with the equilibrium position for simple pendulum and the distance from equilibrium position for mass on a spring) using Phet simulation, kindly, open the following links and play with them. For Simple Pendulum follow the link below. https://phet.colorado.edu/sims/html/pendulum-lab/latest/pendulum-lab_en.html For Mass on a Spring follow the link below. https://phet.colorado edu/sims/html/masses-and-springs/latest/masses-and-springs en html Part I Simple Harmonic Motion (Simple Pendulum) Objectives: In this experiment the student can observe and study the periodic motion in a plane and investigate the relation between the period of a simple pendulum and its length. Also, the student can determine the acceleration due to gravity by this experiment. Theory: An ideal pendulum is a point mass (m) suspended at one end of a massless string with the other end of the string fixed as shown in Fig. 1. The motion of the system takes place in a vertical plane when the mass (m) is released from an initial angle 0. The angular amplitude 0 is defined by the angle which the string makes with the vertical. The weight of the pendulum acts downward, and it can be resolved into two components. The component (mgcose) is equal in magnitude to the tension in the string. The other component acts tangent to the arc along which the mass (m) moves. This component provides the force which mgsin6 drives the system. In equation form: the force (F) along the direction of mgcose mg motion is: Page 1 I 4 Q + Fig. 1 স
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