Power Equation: Instantaneous vs Average Velocity

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SUMMARY

The discussion clarifies that power in physics is defined as instantaneous power, which is calculated as the product of instantaneous velocity and force. The relationship between work and power is established through the formula where work is the product of force and distance. The differentiation of these quantities with respect to time leads to the understanding of power as a rate of change. The distinction between instantaneous and average velocity is emphasized, confirming that power calculations should utilize instantaneous values for accuracy.

PREREQUISITES
  • Understanding of basic physics concepts, particularly force and work
  • Familiarity with calculus, specifically differentiation
  • Knowledge of the power equation in physics
  • Concept of instantaneous vs average velocity
NEXT STEPS
  • Study the derivation of the power equation in physics
  • Learn about the relationship between work, force, and distance
  • Explore calculus applications in physics, focusing on differentiation
  • Investigate real-world examples of instantaneous vs average velocity
USEFUL FOR

Students of physics, educators teaching mechanics, and professionals in engineering fields who require a solid understanding of power dynamics in physical systems.

Skrphys
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How does this version of the power equation relate to physical situations? Does the value you get give you an instantaneous power? Or is the velocity to be taken as the average velocity (an actual displacement over time)?
 
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Skrphys said:
How does this version of the power equation relate to physical situations? Does the value you get give you an instantaneous power? Or is the velocity to be taken as the average velocity (an actual displacement over time)?
Power is instantaneous. It's a rate of change of position times a Force.
Work is Force times distance and that is very familiar. For power, you are just differentiating both sides with respect to time.
 
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