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The period of a simple pendulum (T) is the time it takes for the pendulum to make one complete swing (a round trip). g is the acceleration due to gravity. You can do an experiment of measuring the period (T) as a function of string length (l). You linearize the equation so that you can plot your experimental data and and apply a linear trendline. The equation of the trendline has the form y = a x + b, where a is the slope and b is the y-intercept.

Required:
How do you use the slope to determine "little g" ?

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temdan2001

Answer:

Please find the answer in the explanation

Explanation:

Given that an experiment of measuring the period (T) as a function of string length (l) is performed. To linearize the equation so that you can plot your experimental data and and apply a linear trendline,

The graph of length L will be plot against square of period T.

Given that the equation of the trendline has the form y = a x + b, where a is the slope which is equal to the acceleration due to gravity and b is the y-intercept.

When length L is plotted against square of period T, a linear graph will be achieved. The S.I unit of the slope will be m/s^2 which is acceleration g.

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