Max radius of falling liquid drop

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SUMMARY

The maximum radius of a falling liquid drop is determined by the equation R=√(σ/gρ), where σ is the surface tension (0.7275 J/m²), g is the acceleration due to gravity, and ρ is the density of the liquid (1000 kg/m³). At 20 degrees Celsius, the density of water is approximately 0.9982071 g/cm³, which may introduce slight variations in calculations. However, if the problem does not specify temperature-dependent values, it is primarily a matter of correctly substituting the given constants into the equation. Thus, the temperature may not significantly impact the calculation in this context.

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  • Understanding of fluid mechanics principles
  • Familiarity with the concepts of surface tension and density
  • Basic knowledge of gravitational acceleration (g)
  • Ability to perform unit conversions (e.g., kg/m³ to g/cm³)
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  • Research the effects of temperature on the density of liquids
  • Explore the relationship between surface tension and temperature
  • Learn about fluid dynamics and drop formation
  • Investigate the implications of unit conversions in physical equations
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Students and professionals in physics, engineering, and fluid dynamics who are interested in understanding the behavior of liquid drops and the factors influencing their stability.

bengaltiger14
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The max radius a fallling liquid drop can have without breaking apart is given by the equation:

R=√(σ/gρ) where the rho is density of liquid (1000kg/m^3), and the surface tension is
.7275J/m^2. g is gravity

I am asked to determine the max radius of a drop in units of cm at 20 degrees celsius. Is this problem just a plug the values in problem and ignore the temperature? Is the temperature there just to throw me off?
 
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bengaltiger14 said:
The max radius a fallling liquid drop can have without breaking apart is given by the equation:

R=√(σ/gρ) where the rho is density of liquid (1000kg/m^3), and the surface tension is
.7275J/m^2. g is gravity

I am asked to determine the max radius of a drop in units of cm at 20 degrees celsius. Is this problem just a plug the values in problem and ignore the temperature? Is the temperature there just to throw me off?

The density σ does have a temperature dependence, but if the σ is a given with no reference to temperature in the problem, I'd have to wonder if the real problem is having you convert units correctly.

(Btw σ of water at 20 degrees is 0.9982071.)
 

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