Power Dissipation: Understanding Equations & Solutions

AI Thread Summary
The discussion revolves around the equations for power dissipation, specifically the relationship P = F*V, which is confirmed as correct. A user initially proposes an incorrect power equation involving drag, leading to clarification that the substitution for force was erroneous. The conversation shifts to how power relates to velocity, noting that power is proportional to v^3. A user calculates the new velocity after a 10% increase in power, leading to the conclusion that vf can be expressed in terms of vi by taking the cube root of the adjusted equation. The thread emphasizes the importance of correctly applying drag factors in power calculations.
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Homework Statement





Homework Equations



P=F*V

The Attempt at a Solution



why isn't it

P = Cd(A^2)(v^2) * (v)

i don't see what i could do
 

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soupastupid said:

Homework Equations



P=F*V
This is correct.

The Attempt at a Solution



why isn't it

P = Cd(A^2)(v^2) * (v)
But this is not. You made an error when you substituted for F in the power equation. Redo it, paying attention to each factor in the drag formula.
 
ok i figured out the first part

how do i figure out part B?

I kno the power is proportional to v^3
and so if i increase the power by 10%
i should get

??

if Pi = -(vi^3)AC_d

then 1.1Pi=-(vf^3)AC_d

Pi = (-(vf^3)AC_d ) / 1.1

(vf^3) = 1.1(vi^3)

then what?
 

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Solve for Vf in terms of Vi. (Take the cube root of both sides.)
 
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