A simple pendulum of variable length was displaced from its equilibrium position and allowed to oscillate freely. The time period of the oscillations was recorded for different lengths of the pendulum and the following results were obtained. i. ii. iii. Length // m 2.20 2.30 2.40 2.50 2.60 2.70 Time period T/s 2.98 3.04 3.11 3.17 3.23 3.30 T²/S² Copy and complete the table giving values of T² to two decimal places. Plot a graph of T² against / Find the gradient of your graph and use it to find a value for the acceleration due to gravity.

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Multiple part, A-level Simple Harmonic Motion question, part B. Please answer clearly and outline all relevant methods and equations

Question 5 continued
(b)
A simple pendulum of variable length was displaced from its equilibrium
position and allowed to oscillate freely. The time period of the oscillations was
recorded for different lengths of the pendulum and the following results were
obtained.
i.
ii.
iii.
Length // m
2.20
2.30
2.40
2.50
2.60
2.70
Time period T/s
2.98
3.04
3.11
3.17
3.23
3.30
T²/S²
Copy and complete the table giving values of T² to two decimal
places.
Plot a graph of T² against /
Find the gradient of your graph and use it to find a value for the
acceleration due to gravity.
Transcribed Image Text:Question 5 continued (b) A simple pendulum of variable length was displaced from its equilibrium position and allowed to oscillate freely. The time period of the oscillations was recorded for different lengths of the pendulum and the following results were obtained. i. ii. iii. Length // m 2.20 2.30 2.40 2.50 2.60 2.70 Time period T/s 2.98 3.04 3.11 3.17 3.23 3.30 T²/S² Copy and complete the table giving values of T² to two decimal places. Plot a graph of T² against / Find the gradient of your graph and use it to find a value for the acceleration due to gravity.
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