Go to http://phet.colorado.edu/simulations/sims.php?sim=Pendulum_Lab
and click on Run Now.
1. Research to find equations that would help you find g using a pendulum. Design an experiment and test your design using Moon and Jupiter. Write your procedure in a paragraph that another student could use to verify your results. Show your data, graphs, and calculations that support your strategy.
Procedure: The equation used to calculate the period of oscillation of single pendulum is T = 2π * sqrt( L / g). From that, we can calculate “g” through the equation, g = (4π^2 * L) / T^2. In these equations, T is the period of oscillation, L is the length of the pendulum, and g is the constant of the acceleration from gravity. To calculate an accurate value for g, I used 2 values for L on Moon and Jupiter of 2.5m and 1.00m. From there I used the simulation to calculate T and I plugged that into the equation to find g. The average value of g on the moon is 1.606m/s^2. Also, the average value of g on Jupiter is 18.913m/s^2. The results are listed in the table below. Location
Length(m)
Period(s)
Acceleration of Gravity(m/s^2)
Moon
2.50m
9.022s
1.213m/s^2
Moon
1.00m
5.736s
1.999m/s^2
Jupiter
2.50m
2.264s
19.255m/s^2
Jupiter
1.00m
1.458s
18.571m/s^2
2. Use your procedure to find g on Planet X. Show your data, graphs, and calculations that support your conclusion.
Location
Length(m)
Period(s)
Acceleration of Gravity(m/s^2)
Planet X
2.50m
3.148s
9.959m/s^2
Planet X
1.00m
1.974s
10.131m/s^2
So from the table, the average value of g on Planet X would be 10.045m/s^2.
3. Give your conclusion and write an error analysis.
Conclusion:
The strategy I used to calculate g is that I tested each planet twice with the same values for L on each location. The results that I got from the experiment was that g = 1.606m/s^2 on the moon, g = 18.913m/s^2 on Jupiter and g = 10.045m/s^2. These results show that the moon has the lowest