Period of Oscillation of Steel Ball

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SUMMARY

The discussion focuses on calculating the period of oscillation (T) of a steel ball using the formula T=2π(ml/γPA)(1/2). The user provides specific values, including a ball mass of 0.0318 kg derived from a sphere volume calculation and a flask volume of 12 liters (0.012 m³). The user initially struggles with the pressure value, considering both 1 atm and 101.3 kPa, but finds that using 101,325 Pa yields a correct result. The user questions the calculated length of 38.2 m for the flask, indicating uncertainty about the flask's dimensions.

PREREQUISITES
  • Understanding of oscillation physics and the period of oscillation formula
  • Basic knowledge of fluid mechanics and pressure units
  • Ability to calculate volume and mass of geometric shapes, specifically spheres
  • Familiarity with unit conversions, particularly between liters and cubic meters
NEXT STEPS
  • Research the effects of pressure on oscillation periods in fluid dynamics
  • Learn about the relationship between the dimensions of a container and fluid behavior
  • Explore the implications of using different pressure units in calculations
  • Investigate the properties of materials affecting oscillation in various mediums
USEFUL FOR

This discussion is beneficial for physics students, engineers working with fluid dynamics, and anyone involved in experimental design related to oscillatory motion in fluids.

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I already did the first part, and the equation for the period becomes: T=2[tex]\pi[/tex](ml/[tex]\gamma[/tex]PA)(1/2)

I know 12 litres = 0.012 m3, and the the mass of the ball is the volume of a sphere of radius 0.01m x the density = 0.0318 Kg, for pressure I am not sure whether I am suppose to use 1 atm or 101.3 kPa, that's the least of my problems though. The area of the a cross section of the tube, assuming the ball is fitted, is [tex]\pi[/tex](0.01)2=0.000314m3...So assuming all those are right, now I need the length. I thought that maybe the flask also had the same radius as the ball, and so the length would just be 0.012m3/0.0000314m3=38.2m, but when I plug all there numbers into the equation for period I don't get 1 second or anything close as the answer.

Can someone help please?

Edit: Hm...if I use 101 325 Pa as my pressure it works...can someone confirm if what I've done is right? 38.2 m seems awfully long for a flask.
 
Last edited:
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The glass tube is mounted on a flask. The diameter of the tube is 2 cm. The volume of the flask is 12 l. You don't even know the shape of the flask, but its diameter definitely is not 2 cm.

ehild
 

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