Calculating Kinetic Energy with P=1/2Aρv3

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SUMMARY

The formula for calculating power (P) in the context of kinetic energy is given by P = 1/2 Aρv³, where P is indeed measured in watts. The variables are defined as follows: A is the cross-sectional area in square meters (m²), ρ is the density in kilograms per cubic meter (kg/m³), and v is the velocity in meters per second (m/s). The discussion confirms that using metric units for these variables ensures accurate calculations of power.

PREREQUISITES
  • Understanding of basic physics concepts, specifically kinetic energy.
  • Familiarity with the metric system, including units of measurement like kg/m³ and m/s.
  • Knowledge of fluid dynamics principles related to density and velocity.
  • Ability to convert units, such as from imperial to metric measurements.
NEXT STEPS
  • Research the implications of using different units in physical formulas, particularly in fluid dynamics.
  • Learn about the relationship between power and kinetic energy in various contexts.
  • Explore advanced applications of the kinetic energy formula in engineering and physics.
  • Study the effects of varying density and velocity on power calculations in real-world scenarios.
USEFUL FOR

Students and professionals in physics, engineering, and fluid dynamics who need to understand the calculations of power and kinetic energy in various applications.

rickeeee
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Hi Everyone,
This is a real simple question, but I should make sure I have this right. In the following formula, is the value of P in watts?

P = 1/2 Aρv3

I'm assuming that this is in watts, but you know what they say about assuming. Thanks in advance for your help!
Cheers,
Rick
 
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Assuming ρ is in [kg/m3] and v is in [m/s] and A is in [m2], then yes P is in watts.
 
Hello MrMatt,
Thank you very much, I was using Slugs for ρ and A was equal to FT2, but I can convert them to metrics. Glad I double checked!
Cheers,
Rick
 

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