MCRC Gravitational Acceleration Worksheet

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Engineering

Montgomery College Rockville Campus

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ENGR 115 FORCE AND FORCE-RELATED VARIABLES ASSIGNMENT INSTRUCTIONS OVERVIEW Lab assignments are intended to give you some ‘hands on’ experience in applying the concepts introduced in the course text. They are designed to get you out of your classroom or office and develop the skills of designing experiments and collecting data and then performing calculations, evaluating the results, and communicating your findings. Labs are more than just number crunching – they are about reflecting on what is both practical and technically sound engineering problem-solving. For each of the problems below, address the scenario presented and develop engineering solutions. Communicate your results using drawings, pictures, and discussion, supported by calculations developed using the Microsoft Equation Editor or similar tool. Submit your lab report in a single pdf file uploaded to submission link prior to the due date/time indicated. INSTRUCTIONS 1. In the past, scientists and engineers have used pendulums to measure the value of g at a location. The basic forces involved are the tension in the wire and the weight of the suspended mass. Design a pendulum that can be used to measure the value of g at your location. The formula to use to measure the acceleration due to gravity is: 𝐿 𝑇 = 2𝜋√ 𝑔 where T is the period of oscillation of the pendulum, which is the time that it takes the pendulum to complete one cycle. The distance between the pivot point and the center of the mass of the suspended deadweight is represented by L. Think carefully about ways to increase the accuracy of your system. Discuss your findings in a brief report. 2. Design a mass–spring system that can be taken to Mars to measure the acceleration due to gravity at the surface of Mars. Explain the basis of your design and how it should be calibrated and used. 3. Investigate the operation of pressure-measuring devices such as manometers, Bourdon tubes, pitot tubes, and diaphragm pressure sensors. Write a brief report discussing your findings. Page 1 of 1
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Explanation & Answer

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ENGR 115

Q1
The gravitational acceleration is calculated by the following relation
𝑔 = 4𝜋 2

𝐿
𝑇2

Where L is the length and T is a time period of a system
As a result, the acceleration due to gravity will be determined by the length of string to which the
bob is tied and the period of one oscillation when designing a basic pendulum.
Because one oscillation has a relatively short time period, calculate the time period for 20
oscillations of varying lengths of the string.
Sr

Length

Time period for 20 oscillations Time period for

No

𝑔 = 4𝜋 2

one oscillation

T’

𝐿
𝑇2

T’/20
1

0.2

17.8

0.89

9.96

2

0.4

25.3

1.26

9.94

3

0.8

35

1.79

9.85

The value of “g” is calculated as an average of all values
For the calculation of above model consider the first length of 0.2m and put in the above equation
the values of length and tim...

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