Recent content by Biffinator87

I was afraid of that. This is a leachate pond example so there is all kinds of stuff flowing into the pond from landfill waste. So there could be any number of things going in there. Thank you for the help!

Homework Statement [/B] Just a general question to see if I'm doing this right. The volume just doesn't seem right. Anyways we have a water supply of 1.6 million gallons with a pH of 9.93. We want to get the water to a pH of 6 using a 30% HCl solution.Homework Equations M1V1+M2V2=M3V3...

Ok do you mind if I try and solve those and then show them too you to see if I completely understand now?

Sorry, the original questions called for first transforming to spherical polar coordinates then finding the contravariant and covariant components of the vector.

Ok. That makes sense. So when I use the covariant and contravariant I don't directly use that transformation I just did?

Yes it does. So now that I know what these relationships are I need to apply them to the transformation I solved for correct?

Would I have: ar= 1 / ir aθ= 1 / iθ*r aφ= 1 / iφ* rsinθ or in other words. Divide Vr,θ,φ by their scale factors?

So by using what you have given me from the previous post I have: V=Vrir+Vθriθ+Vφrsinθiφ or in terms of the components Vr=V(r)/1 ; Vθ=V(θ)/r ; Vφ=V(φ)/rsinθ

Oh yes I can now! Sorry I didn't realize I was comparing those two. But after you said it I realize I was being dumb!

Would that be a relation of the unit vector dr=∂r/∂x*Ar?

How's this? Sorry been busy trying to buy a house and with work.

Ok cool. I will work this some more and try to have another post by tomorrow. Thanks!

Ok. So is there some more transformation stuff I need to do or do I simply need to take what I have already transformed and group stuff together differently?

Ok I attempted to write bigger and used Φ instead of φ to hopefully make it more visibly different. Again, thank you for all the help so far!

Ok. I have attached my solution to problem 3. I ended up with some pretty long terms.