What Factors Influence Simple Harmonic Motion in a U-Tube?

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SUMMARY

The discussion focuses on the factors influencing simple harmonic motion (SHM) in a U-tube, specifically comparing the effects of oil and water, heating the liquid, and the internal diameter of the tube. It is established that using oil instead of water does not change the time period (T), but increases damping due to higher viscosity. Heating water expands it, resulting in an increased length and consequently a longer time period. The internal diameter affects the ratio of successive amplitudes, suggesting a potential experiment to plot time period against diameter for analysis.

PREREQUISITES
  • Understanding of simple harmonic motion (SHM)
  • Knowledge of fluid dynamics, particularly viscosity
  • Familiarity with thermal expansion of liquids
  • Basic experimental design principles
NEXT STEPS
  • Research the effects of viscosity on oscillatory motion in fluids
  • Study the principles of thermal expansion in liquids
  • Learn about experimental methods for measuring oscillation amplitudes
  • Explore the relationship between diameter and oscillation characteristics in U-tubes
USEFUL FOR

Students studying physics, particularly those focusing on fluid dynamics and harmonic motion, as well as educators looking for practical experiments to demonstrate these concepts.

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Homework Statement



These questions are regarding water undergoing SHM in a u-tube.

Q1) What is the effect on the time period and damping in a u-tube when using oil instead of water?

Q2) What is the effect on the time period if the liquid (inside the u tube) is heated?

Q3) How can the internal diameter of the u-tube affect successive amplitudes of oscillations? Devise a suitable experiment.

Homework Equations



N/A

The Attempt at a Solution



Q1) T is unchanged; oil is more viscous so friction between inside of tube is greater thus oscillations die away quickly.

Q2) Heating water makes it expand; length of water increases; T increases.

Q3) I think the ratio between successive amplitudes should be the same... could plotting T against D (diamter) and observing the relationship be sufficient?

Are these right? Can someone please expand on them?

Many thanks.
 
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