Module 5 Lab5 Simple pendulum part 2

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Northern Virginia Community College *

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201

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Physics

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Apr 3, 2024

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NOL PHY 201 Lab - Simple Pendulum Part 2 Name______________ This is the second part of the assignment Simple Pendulum . You will conduct one activity and then work in a group for a discussion post. Each activity will count for 10 points. Before starting, please scroll through the worksheet to check the page numbers and get all the information. Complete all activities before submitting the lab. Each lab counts for 20 points and is about 1.42% of the total grade. Lab Goals This lab will help you learn the following:  How to perform an experiment independently  How to take measurements, obtain results, and interpret them correctly  How to estimate the accuracy of experimental results  How to work together with other students in a group discussion. Introduction A simple pendulum consists of an object with negligible size hanging on a string. When the object is deflected from its equilibrium, it swings (oscillates) back and forth. The time for one complete cycle (oscillation) is called the period of oscillation, T . For small angles of deflection, the period of the simple pendulum is given by the following formula: T = 2 π √ L g , where L is the length of the pendulum and g is the gravitational acceleration. Using simple algebra, the equation can be written as T 2 =( 4 π 2 g ) L . Page 1 of 3

NOL PHY 201 Plotting on a chart T 2 vs. L , with T 2 on the y-axis and L on the x-axis, it is possible to obtain the acceleration of gravity starting from the slope and applying basic algebra. Activity 1: Plot the chart and find the acceleration of gravity (10 pts) 1. Open your Excel file where you have the table from Part 1 of the assignment. Using the data on the table plot T 2 vs. L , with T 2 on the y-axis and L on the x-axis. Do a "Scatter plot”. Do not do a "Line plot". 2. Find the line of best fit and show the equation on the chart. 3. Copy and paste here the plot. Submit the Excel file on Canvas. 4. Use the slope to determine the acceleration of gravity "g". You will need to do some simple algebra. Note: the acceleration of gravity is not the slope itself! The slope, of course, will be equal to 4 π 2 g . 5. Show the calculations below. 6. Find the percent error with the actual value of the acceleration of gravity. Show your calculations here. Formula for percent error: % error = 100 × | accepted value − experimental value | accepted value Activity 2: Group Discussion (10pts) Build an imaginary planet and find its acceleration of gravity using a pendulum. You will be divided into small groups. Please work with your group to invent a new planet. Calculate the acceleration of gravity on that planet and determine how long the pendulum's period is on that planet. 1. Together with your group partners craft a planet: Page 2 of 3

NOL PHY 201 a) Write the Planet mass: Mass is ________ times the earth's mass. Example, the planet's mass is 3 times the earth mass ->-> M Planet = 3 M Earth b) Planet radius is ________times the earth's radius. Example, the planet's radius is 1/2 times the earth radius ->-> R Planet = 1 2 R Earth 2. Read section 6.5 of your book, Newton Universal Law of gravitation . In this section, you learn about the relation between the acceleration of gravity on the earth, g = 9.8 m s 2 and the earth' s mass and radius. This relation is valid for any planet. Using your new data of mass and radius, find the acceleration of gravity on your new planet. In the discussion post show all the steps. Discuss all together the accuracy of your calculations. If you spot a mistake, do not change the post, instead add a reply to the post with the correction. Imagine working all together around a table! g= _______________ 3. Using the pendulum formula for the period of oscillation, and your new acceleration of gravity, determine the period of a pendulum that is 1 meter long and it is on this planet. On the post, show all the steps and all the work to find the period expressed in seconds. If one of the students in the group makes a mistake on the calculations, add a new post with the corrections. 4. As the last part of the group discussion, you are tasked to find a name for your planet. Then each student should comment which sport would be easier to do on this planet, if any, and explain the advantages or disadvantages of the new acceleration of gravity. Page 3 of 3

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