50.1K

Verified Solution

Link Copied!

*ratings for typed answers ONLY*

Answer the following question: How would your resultsdiffer if you performed the experiment on Mars? with the giveninformation below!

Using the slope of yourT² versus L plot,determine the acceleration due to gravity.

The slope of the graph = 0.042924

Acceleration due to gravity 39.47/0.042924=939,761

Acceleration due to gravity = 9.39 m/s²

Based on your results, please answer the followingquestions:

1. How close is your experimentally determinedgravitational acceleration to 9.81m/s²? What arepotential sources for error in the experiment?

Based on our calculus, our result equals 9.39 m/s2 is close tothe value of 9.81 m/s2. The explanation for the small difference isrepresented by potential errors that took place during theexperiment. In most cases, this is due to human error. This caninclude parallax error that took place when the measurement oflengths was done or a mistake in recording the period of time.

1. For small angles, does the pendulum's period ofoscillation depend on the initial angular displacement fromequilibrium? Explain.

It is important to understand that the period T is dependent onthe length of the string. As we can see, the higher the length is,the longer the value of T is. Because of that, the period T won'tbe dependent on the mass of the initial angular displacement.

1. Why is it a good idea to use a relatively heavy mass inthis experiment? What would you say to a colleague that wanted touse only one washer as the pendulum mass?

An important thing during this experiment is to keep the stringas straight as possible during the entire period of motion. Inorder to do that, it needs to use a relatively high mass tostraighten the line. Using only one washer can lead to an incorrectresult. This is because one washer represents a small weight, andthe air resistance will be more effective.