MANGOMOJO
Feb1-07, 07:21 PM
My first assignment in chemical engineering basics class, and already I am having the problems!
1. The problem statement, all variables and given/known data
A horizontal cylindrical drum is 2m in diameter and 4m long. The drum is slowly filled with benzene (density = 0.879g/cm^3). Derive a formula for W, the weight in newtons of the benzene in the tank, as a function of h, the depth of the liquid in centimeters.
2. Relevant equations
We were not given any specific equations, but from attemting to do the solving I use:
Density = m/V
W=ma=mg
V=(pi)r^2h
3. The attempt at a solution
I have brainstormed. The volume of the drum is 4(pi)=12.56637. I believe that the problem wants for us to use W(h)=?? when finding the equation, and I understand we want to see that as the benzene increases the container becomes heavier. Also, we have the density.
Density = (m/V)
and W=mg, so W=V(density)g
We could plug things in.
W=(0.879)(9.8)V and get W=(8.7906)V
But here is where Im stuck. Does W=(8.7906)V equal W(h)? And should this be a relationship w/time since the benzene is flowing into the drum? I know this could include related rates (calculus) somewhere, but not sure where. Also, where does the drum's volume come in?
1. The problem statement, all variables and given/known data
A horizontal cylindrical drum is 2m in diameter and 4m long. The drum is slowly filled with benzene (density = 0.879g/cm^3). Derive a formula for W, the weight in newtons of the benzene in the tank, as a function of h, the depth of the liquid in centimeters.
2. Relevant equations
We were not given any specific equations, but from attemting to do the solving I use:
Density = m/V
W=ma=mg
V=(pi)r^2h
3. The attempt at a solution
I have brainstormed. The volume of the drum is 4(pi)=12.56637. I believe that the problem wants for us to use W(h)=?? when finding the equation, and I understand we want to see that as the benzene increases the container becomes heavier. Also, we have the density.
Density = (m/V)
and W=mg, so W=V(density)g
We could plug things in.
W=(0.879)(9.8)V and get W=(8.7906)V
But here is where Im stuck. Does W=(8.7906)V equal W(h)? And should this be a relationship w/time since the benzene is flowing into the drum? I know this could include related rates (calculus) somewhere, but not sure where. Also, where does the drum's volume come in?