Converting P=F*d*cos(?)/t to P=Fv

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SUMMARY

The discussion focuses on the conversion of the formula P=F*d*cos(θ)/t to P=Fv, where P represents power, F is force, d is distance, θ is the angle, and t is time. It is established that the angle θ is essential for calculating the distance d when other variables are known. The relationship between distance and time, represented as d/t, is identified as velocity (v), confirming that P=Fv is a valid transformation of the original equation.

PREREQUISITES
  • Understanding of basic physics concepts, specifically power and force.
  • Familiarity with trigonometric functions, particularly cosine.
  • Knowledge of kinematics, especially the relationship between distance, time, and velocity.
  • Ability to manipulate algebraic equations for variable isolation.
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  • Study the derivation of power equations in physics, focusing on P=Fv.
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  • Investigate kinematic equations and their relevance to distance and velocity.
  • Explore real-world applications of power calculations in mechanical systems.
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Students of physics, educators teaching mechanics, and engineers involved in mechanical design and analysis will benefit from this discussion.

anastasiao
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I need help on the concept of converting the P=F*d*cos(?)/t into P=Fv. Also if an agle is given when is do we use it or is it even necessary to fing d (assuming all other variables are given.
 
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Well if you know that [itex]P=\frac{Fdcos\theta}{t}[/itex] what does [itex]\frac{d}{t}[/itex] give you?

well you must use the angle if given to find an unknown variable...If i am understanding your last query
 

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