How Does Changing Mass, Length, or Gravity Affect a Pendulum's Period?

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The period of a pendulum is influenced by its length and the acceleration due to gravity, but not by its mass. Doubling the length of the pendulum increases its period, calculated using the formula T = 2π * sqrt(L/g). When the pendulum is moved to a planet with a gravitational acceleration of 16 m/s², the period can be recalculated using the same formula. The original period of 1.8 seconds will change based on these adjustments. Understanding these relationships is crucial for predicting pendulum behavior under varying conditions.
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A pendulum has a period of 1.8 s.

a) Its mass is doubled. What is its period now?


b) Its length is doubled. What is its period now?


The original pendulum is taken to a planet where g = 16 m/s2.
c) What is its period on that planet?
 
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So what's the equation for the period of a simple pendulum
 
T = 2*pi / w. What is w for a simple pendulum?
 
T = 2 * Pi * sqrt( L/g )
 

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