Help with a physics/calc problem involving work.

[Migkiller]

In my Calc II class, we are starting to learn applications regarding work. Now I know Work = the integral of (Force) x (Distance) dx, but the question involves a fluid. So the equation is
W= Integral of F x D dx, but we replace F= (Volume) x (Density). This is were I am confuse. How does (Volume) x (Density)=F?. Doesn't F=(mass) x (acceleration)? I don't see the relation between the F=V(density) and the F=ma.

 

[nicktacik]

It doesn't. Must be a mistake. Volume * Density = mass, not force.

 

[chaoseverlasting]

Must be volume*density*acceleration of fluid.

 

[Nesk]

Must be volume*density*acceleration of fluid.

I too believe this must be the case. In fluid mechanics parameters are frequently described through their volume density.

 

[Migkiller]

I asked my teacher, and because it's a math class, she said that we are to assume that mass and weight are equal.

 

[bob1182006]

what book are you using?

my Stewart 5th ed they do Work problems involving liquids to be:

W=F*d=m*a*d=Density*Volume*acceleration*distance

 

[Migkiller]

I'm using a book called Calculus 8th ed. by Larson, Hostetler and Edwards.