lab 14 done asa

Lab 14: Pendulum Lab (SHM) © 2020 by Orlando Patricio adapted from https://phet.colorado.edu/en/simulations/category/physics Name: Asael Garcia INSTRUCTIONS: (1) Download this lab document and type out answers on the space provided for then save your answers. (2) If the spacing automatically moves, adjust so that your answers are not all over the place. (3) Upload this document, with your answers on it, on the designated Lab 14 Dropbox on Canvas Lab Reports/Module Tab. (4) If possible, ALL answers must be in green font or highlighted in yellow background with black font. This lab uses the Pendulum Lab simulation from PhET Interactive Simulations at University of Colorado Boulder, under the CC-BY 4.0 license. Grading Policy for Lab Reports WITH Pre-/Post-lab Questions Grading Policy for Lab Reports WITHOUT Pre-/Post-lab Questions Completeness and accuracy of answers (with required screenshots) for the: 1. Warm-up and lab activities – 70% 2. Pre-/ Post-lab questions – 10% 3. Conclusions and real-life applications – 20% Completeness and accuracy of answers (with required screenshots) for the: 1. Warm-up and lab activities – 80% 2. Conclusions & real-life applications – 20% Purposes/Objectives: In this lab, you will be able to: 1) investigate the factors affecting time period of a simple pendulum. 2) determine gravitational field strength at a location by swinging a simple pendulum and performing curve fitting on linearized data. Procedure: 1) Click the link below (hover mouse on the link then press at the same time: ctrl and left click ) https://phet.colorado.edu/sims/html/pendulum-lab/latest/pendulum-lab_en.html A. Develop your understanding: Explore the Intro tab / screen to develop your own ideas about what factors affect the time period of a simple pendulum. Remember: Inside PhET sim, at the bottom left corner, check-off Ruler and Stopwatch to use for the lab. Your screen should look like the one below.

Lab 14: Pendulum Lab (SHM) © 2020 by Orlando Patricio adapted from https://phet.colorado.edu/en/simulations/category/physics At the top right corner, the control panels for the length of the string and planet’s gravity can be selected. The default planet is Earth, g = 9.8 m/s 2 . Slide the dial/knob to the right or to the left to make changes, as needed. The orange circle at the bottom right corner is the Reset button. The red Stop button is located below the pendulum. The Play, Pause, and Step buttons are located next to the red Stop button at the bottom of the screen. Click on the double weights next to the red Stop button to change the hanging mass. Make sure that speed is set to Normal (button) and Friction (slider) is set to None . Throughout the experiment, do not increase the pendulum amplitude beyond 30 degrees. Drag the hanging mass to the side to change the pendulum amplitude. To measure the time period of the pendulum, click the play button of the stopwatch. One time period of the pendulum is one swing forward then return to where it was released, that is, one oscillation or one complete cycle. Choose Earth in Gravity window for Parts 1, 2, and 3. B. Check your understanding: Perform Parts 1, 2, 3, and 4. Part 1: Time Period vs. Mass (Length, Gravity & Amplitude Constant) 1) Choose constant values for length (say, 0.70 m), gravity (9.8 m/s 2 ), and amplitude (say, 15 o ). Choose mass of the pendulum to be 0.1 kg and measure time period for 10 oscillations (cycles) using the PhET sim stopwatch.

Lab 14: Pendulum Lab (SHM) © 2020 by Orlando Patricio adapted from https://phet.colorado.edu/en/simulations/category/physics 3 0.70 0.20 9.8 15 17.74s 1.795s 2 Part No. Trial Run No. Lengt h (m) Mass (kg) g (m/s 2 ) Amplitu de (degrees) Time for 10 Oscillations (s) Time Period, T (s) 2 4 0.70 0.20 9.8 20 17.79s 1.779s 5 0.70 0.20 9.8 25 17.85s 1.785s 6 0.70 0.20 9.8 30 17.90s 1.790s Part 3: Time Period vs. Length (Amplitude, Gravity & Mass Constant) 6) Choose constant values for amplitude (say, 20 degrees), gravity (9.8 m/s 2 ), and mass (1.3 kg). Choose length of the pendulum to be 0.2 m and measure time for 10 oscillations using the PhET sim stopwatch. 7) Click on the Reset button. Keep amplitude, gravity, and mass the same. Change length to 0.4 m and again measure time for 10 oscillations. Repeat this for a total of 6 trial runs but increasing the length of the pendulum by 0.2 m each time except for the last two trial runs increased the length of the pendulum by 0.1 m. Record the lab results in Data Table 3. Data Table 3: Time Period vs. Length (Amplitude, Gravity & Mass Constant) Part No. Trial Run No. Lengt h (m) Mass (kg) g (m/s 2 ) Amplitu de (degrees) Time for 10 Oscillations (s) Time Period, T (s) 3 1 0.20 0.20 9.8 20 9.56s 0.956s 2 0.30 0.20 9.8 20 11.71s 1.171s 3 0.40 0.20 9.8 20 13.51s 1.351s 4 0.50 0.20 9.8 20 15.02s 1.502s 5 0.60 0.20 9.8 20 16.49s 1.649s 6 0.70 0.20 9.8 20 17.77s 1.777s Part 4: Time Period vs. Gravity (Amplitude, Length & Mass Constant)

Lab 14: Pendulum Lab (SHM) © 2020 by Orlando Patricio adapted from https://phet.colorado.edu/en/simulations/category/physics 8) Choose constant values for amplitude (say 15 degrees), length (say, 0.70 m) and mass (say 1.5 kg). Choose Moon from the Gravity drop down menu and measure time for 10 oscillations using the PhET sim stopwatch. 9) Click on the Reset button. Keep amplitude, length, and mass the same. Change gravity location to Earth and again measure time for 10 oscillations. Repeat this for a total of 3 trial runs. (Gravity locations: Moon g = 1.63 m/s 2 , Earth g = 9.80 m/s 2 , Jupiter g = 26.0 m/s 2 ) Data Table 4: Time Period vs. Gravity (Amplitude, Length & Mass Constant) Par t No. Trial Run No. Lengt h (m) Mas s (kg) g (m/s 2 ) Amplitu de (degrees) Time for 10 Oscillations (s) Time Period, T (s) 4 1 0.70 1.5 Moon = 1.63 15 43.40s 4.340s 2 0.70 1.5 Earth = 9.80 15 17.72s 1.772s 3 0.70 1.5 Jupiter = 15 11.21s 1.121s 26.0 C. Graphs/Expand your understanding: Plot the following graphs using Excel spreadsheet, copy and paste the graphs below each section title. All graphs must have a title and x & y axes labeled correctly with quantities plotted & units. If the title of the graph is Time Period vs. Mass graph, type the Mass values on the first column of Excel spreadsheet then type the Time Period on the second of Excel spreadsheet. Piggyback to Lab 1 to review how to create graphs using Excel spreadsheet. a) From Part 1 : Period vs. Mass (T vs. M)

Lab 14: Pendulum Lab (SHM) © 2020 by Orlando Patricio adapted from https://phet.colorado.edu/en/simulations/category/physics e) From Part 4 : Period vs. Gravity (T vs. g)

Lab 14: Pendulum Lab (SHM) © 2020 by Orlando Patricio adapted from https://phet.colorado.edu/en/simulations/category/physics Post-lab Questions/Analysis: Based on your graphs, answer the following questions: 1) From Period vs. Mass graph, does the period appear to depend on mass? Is the graph linear? Yes, it does seem that the mass has an impact on the timeframe. My graph is linear. 2) From Period vs. Amplitude graph, does the period appear to depend on amplitude? Is the graph linear? Yes, there is no doubt that the period depends on the amplitude, and as a result, my graph is linear. 3) From Period vs. Length graph, does the period appear to depend on length? What is the relation(ship) between Period and Length (directly related or inversely related)? Is the graph linear? Yes, because they are intimately related, the period does depend on the duration. The period also grows as the duration does. It is also linear in this graph. 4) Explain how you can graphically determine g of Earth using Period 2 vs. Length graph? Obtain the value of g by doing a curve-fitting and compare it with the known value of 9.80 m/s 2 . (Hint: T =2 π ) Using the period 2 vs length graph value of g which g=(4 π 2 )/slope 5) From Period vs. Gravity graph, does the period appear to depend on gravity? What is the relation(ship) between Period and Gravity (directly related or inversely related)? Is the graph linear? Yes, gravity does affect the period. The relationship is inverse, though, because the period 9me decreases as gravity rises. It is also linear in this graph. 6) Explain how you can graphically determine length of a pendulum using Period 2 vs. 1/ g graph? To graphically determine the length of a pendulum using Period 2 vs 1/g graph you can use this formula to determine the length. L = slope/4 π 2 .