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

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Homework Help Overview

The discussion revolves around the factors affecting the period of a pendulum, specifically how changes in mass, length, and gravitational acceleration influence its period. The original poster presents a pendulum with a known period and poses questions regarding the effects of doubling mass and length, as well as the impact of a different gravitational field.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between the period of a pendulum and its physical properties, questioning how mass and length alterations affect the period. There is also inquiry into the appropriate equations governing the pendulum's motion.

Discussion Status

Some participants have provided equations related to the period of a simple pendulum, while others seek clarification on the variables involved. The discussion is ongoing, with multiple interpretations of the effects of the changes being explored.

Contextual Notes

The original poster's questions imply a need for understanding the underlying principles of pendulum motion, particularly in relation to the effects of mass and gravitational acceleration, which may not be straightforward.

confused1
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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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