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The longer a pendulum is, the more time it takes a pendulum takes to complete a period of time. If a clock is regulated by a pendulum and it runs fast, you can make it run slower by making the pendulum longer. Likewise, if the clock runs slow, you can make your clock run faster by making the pendulum shorter. (What a pendulum actually does is measure the ratio between time and gravity at a particular location, but that is beyond the scope of this answer.)
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Relationship between period and length of a pendulum?
T=1/2l
What is the relationship between the length of the string of a pendulum and the number of swings?
There's no relationship between the length of the pendulum and the number of swings.However, a shorter pendulum has a shorter period, i.e. the swings come more often.So a short pendulum has more swings than a long pendulum has in the same amountof time.
What is the relationship between the period of a pendulum and its length?
For small angles, the formula for a pendulum's period (T) can be approximated by the formula:T = 2 * pi * sqrt(L/g), where L is the length of the pendulum length, and g is acceleration due to gravity. See related link for Simple Pendulum.
What is the relationship between the period and the lengthof a pendulum using logarithms?
The relationship between log(period) and log(length) is linear, with slope 0.5 and intercept log(2*pi/sqrt(g))
How do you investigate the effect on period of a pendulum if length is altered?
You measure the period of the pendulum for different lengths. Plot the results on a scatter plot and see if you can work out the nature of the relationship between the two variables.
