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M3 S1 Core Science Project

Project Title: Measuring gravitational acceleration from simple pendulum motion(S.H.M.)

Background:
A Simple Harmonic Motion (S.H.M.) is a periodic general
plane motion in which restoring force is
proportional to displacement.

x = Acos(wt)
v = dx/dt = -wAsin(wt)
a = dv/dt = -(w^2)Acos(wt)
w = 2(PI)f = 2(PI)/T = sqrt(k/m) for spring with mass = sqrt(g/l) for simple pendulum motion

Procedure:
Swing a mass modeling simple pendulum with different length between pivot and C.M. starting from 50 cm to 100 cm with increasing length of 10 cm a time.
Count the time taken to swing 10, 20, and 50 times, consecutively, then, calculate period (in second).
Plot the graph of Length (m) against square of Period (s2), find the slope then calculate for g.
Compare the g measured from this experiment to g from calculation.

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