Pendulum Experiment
Aim:- To find out the value for acceleration due to gravity using computer-assisted technology
Hypothesis:- If I use a pendulum motion and measure the period whilst varying the distance, then the acceleration, when calculated will be 9.8m/s/s
Variables:- Independent:- Length
Dependent:- Period
Controlled:- mass, angle
Method:- 1) Obtain equipment and set up apparatus. (sorry. I don't have an scanner, hope you can follow this)
2) Attach a 100g pendulum to a 1m rope.
3) Pull the pendulum out so that it it 10 degrees out from its original position and let the pendulum go
4) Time how long it takes for the pendulum to complete 10 periods (one period = the time it takes to get back to its starting position
5) Divide this time by 10 to get the time taken to complete one period.
6) Repeat steps 3-5 using the 1m rope for the pendulum 4 more times then take the average time.
7) Repeat steps 3-6 using a 20cm, 30cm, 40cm, 50cm, 60cm, 70cm, 80cm and 90cm rope for the pendulum.
Results:- The formula is g = 4 x pie x length (of the pendulum)
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T squared
If you then draw up a graph where the 4 x pie x length values are on the vertical axis and the T (period) squared values are on the horizontal axis, the slope = the acceleration due to gravity.
There are then experimental reasons for variations from 9.8m/s/s
The biggest being random error - timing
Absolute error - Protractor and metre ruler
Paralex error - Protractor, metre rule
Systematic - Didn't measure to the pendulums centre of mass.
Non-experimental reasons for variations from 9.8m/s/s
1) Altitude. Increased altitude = decreased gravity
2) Earth spinning on its axis creates a centripital force which lessens gravity
3) Crust of the Earth isn't uniform. Where the crust is the thickest, gravity is highest
4) Distribution of dense elements in the universe isnt uniform
5) The Earth's globe is flattened at the poles. Gravity is stronger at the equator than at the poles
6) Air resistance.
Hope this helps!!!