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A metal rod Was hung by two strings of equal length from two grips. The rod was slightly Twisted horizontally, released, and recorded for 10 oscillations. The lengths From the grip to the rod were 70cm to 20cm in 10cm steps (6 different lengths Were recorded).

T^2 alpha L

Independent Variable

·Length Of rope that the rod hangs on (70, 60, 50, 40, 30, 20)cm

Dependent Variable

·The period of oscillation of the rod, achieved by recording 10 oscillations and Then dividing by 10.

Controlled Variables

·Keeping The same rod for the entire test ensure that R stays the same. If it were decrease, then the time for one oscillation would decrease as well, along with making our gradient lower than expected.

·D, The distance between the two strings. This had to also be the exactly the same Or the period would increase. For example, if the D was to decrease, the period For one oscillation would increase. This would make the gradient larger the Expected.

·Ensuring That the release of rod is smooth and that its released within 5 degrees as the Theory assumes it is a SHM and the experiment cannot agree with the theory if The oscillations are larger than 5 degrees.

Accuracy Techniques

·We Reduced zero error by making sure That the stopwatch was reset to 0 each time a new record started, we also Brought the grips down to the very base to make sure that they were both at the Same height.

·We Reduced parallax error by making Sure that we went eye level to the ruler to make sure the measurements were Accurate.

·Repeating And averaging of the oscillations were used to make sure that unexpected outliers Wouldn’t affect the results as much

Conclusion

·The Theoretical gradient is 1.95 +-0.0086, compared to experimental gradient of 2.00 +-0.14. The experimental agrees with the theory as they both match up Within the experimental uncertainty.