Pendulum in Water: Period and Resistance

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SUMMARY

The discussion focuses on the behavior of a simple pendulum in different environments, specifically on the moon and in water. The period of a pendulum is determined by the formula T=2π√(1/g), where g varies based on the gravitational force. On the moon, the period will differ due to its lower gravitational acceleration compared to Earth. Additionally, a pendulum swinging in water experiences greater resistance, resulting in a shorter time to come to a complete stop compared to one swinging in air.

PREREQUISITES
  • Understanding of pendulum mechanics and the formula T=2π√(1/g)
  • Knowledge of gravitational acceleration variations (g) on different celestial bodies
  • Familiarity with fluid dynamics and resistance in different mediums
  • Graphing skills to analyze period vs. length relationships
NEXT STEPS
  • Research the effects of gravitational acceleration on pendulum motion in various environments
  • Explore fluid dynamics principles related to resistance in liquids versus gases
  • Learn about the mathematical modeling of pendulum motion in different mediums
  • Investigate graphical representations of pendulum periods in air and water
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in the dynamics of pendulum motion in varying environments.

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Homework Statement



first question: If a simple pendulum with a period of 1 second is set in motion on the moon,determine the new period of this pendulum.

second question: If a pendulum is made to swing in water,compare the time taken for this pendulum to come to a complete stop with the time taken by a pendulum swinging in air. Explain the difference.

Homework Equations



T=2(3.142)x(1/g)^1/2

The Attempt at a Solution



first question: the pendulum will swing forever on the moon because it is in a vacuum rite? but what does it mean by determine the new period?
the graph of period Ts against length for this question will be a straight line parallel to the x axis..?

second question: if a pendulum is made to swing in water, the resistance is higher compare to air rite? so the time taken for a pendulum to come to a complete stop is shorter compare to a pendulum swinging in the air...so the answer should be resistance?
but what is the graph of pendulum in water (period against length) would be like? is it a curve? have a lower gradient compare to the graph of pendulum in air?

i just want to make sure i did right for my coursework. thanks for your help.
 
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The period depends on g. g is different on the moon. Hence the period will be different.
 

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