Pendulum experiment:

1) create a plot of length (x axis) versus average period (yaxis). Make sure to clearly label your axes and indicate units.

(2) create a plot of length (x axis) versus (average period)2 (yaxis). Add a linear trend line. Record the slope of the best fitline.

(3) recall that the period of an ideal simple pendulum is givenby the following relation: T= 2pi sq rt of L/g

squaring both sides of the equation gives us this relation:T^2=4pi^2L/g= 4pi^2/g*L. Using the slope of your T2 versus L plotdetermine the acceleration due to gravity.

(4) how close is your experimentally determined gravitationalacceleration to 9.81m/s^2? What are potential sources for error inthis experiment?

(5) for small angles does the pendulums period of oscillationdepend in the initial angular displacement from equilibrium?Explain.

(6) why is it a good idea to use a relatively heavy mass in thisexperiment? What would you say to a colleague that wanted to useonly one washer as the pendulum mass?

(7) use the relation of the period of an ideal simple pendulum.= 2pi square rt of L/g to calculate the ratio of the periods ofidentical pendulums on the earth and on mars. Note thegravitational acceleration on the surface of mars is approx 3.7m/s^2.