- #1
Saladsamurai
- 3,020
- 7
Homework Statement
Okay, so this was Part 1:
Water flows with a speed v down a rectangular pipe of dimensions s and l as shown. What is the rate
at which water accumulates in the bucket? (figure 1.28)
... which I solved as follows:
[tex]\phi=\int_{Surface} v \cdot da[/tex]
[tex]=\int_{Surface} v*da\cos\theta[/tex]
[tex]=\int_{Surface} v*da[/tex]
[tex]=\int_s\int_l v*(dsdl)=v*s*l[/tex]
Now this is Part 2: Figure 1.29
We slice the end of the pipe off at some angle [itex]\theta[/itex]. This does not change [itex]\Phi[/itex]. Express your formula for [itex]\Phi[/itex] in terms of the dimensions s andl' and [itex]\theta[/itex].
So is the main idea of this to use only the normal component of A in the integral? (normal to v, that is).
Casey