Calculating Density of Immersed Weight using Vibrations and Fluid Statics

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SUMMARY

The discussion focuses on calculating the density of a weight using the principles of vibrations and fluid statics. The original frequency of the wire with the weight is 392 Hz, which changes to 343 Hz when the weight is fully immersed in water. This change in frequency indicates a reduction in the effective weight of the object due to buoyancy. The density of the weight can be calculated using the relationship between the frequencies and the principles of fluid statics.

PREREQUISITES
  • Understanding of fundamental frequency in vibrating systems
  • Knowledge of buoyancy and Archimedes' principle
  • Familiarity with fluid statics concepts
  • Basic mathematical skills for density calculations
NEXT STEPS
  • Study the relationship between frequency and tension in vibrating strings
  • Learn about Archimedes' principle and its applications in fluid mechanics
  • Explore the mathematical derivation of density from frequency changes
  • Investigate the effects of different fluids on buoyancy and density measurements
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Physics students, engineers, and professionals in fluid mechanics or materials science who are interested in understanding the principles of density calculation through vibrations and fluid statics.

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Vibrations and Fluid Statics

One end of a horizonatal wire is fixed, while the other passes over a smooth pulley and has a heavy weight attached to it. The frequency of the fundamental note emitted when the wire is plucked is 392 Hz. When the weight is completely immersed in water, the new fundamental frequency is 343 Hz. Calculate the density of the weight.
 
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boomboompoop said:
Vibrations and Fluid Statics

One end of a horizonatal wire is fixed, while the other passes over a smooth pulley and has a heavy weight attached to it. The frequency of the fundamental note emitted when the wire is plucked is 392 Hz. When the weight is completely immersed in water, the new fundamental frequency is 343 Hz. Calculate the density of the weight.

WHat have you done so far? Do you know how the weight of an object changes when it is immersed in a liquid?
 

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