Thanks, that makes sense, I forgot about the chain rule for partials.
Concerning gH I believe it is just another way of expressing the constant to give it a more physical meaning. With H being the "Head" measured in meters. They should have written ... = constant = g*H to make it more clear.
Hi!
I am having trouble following the derivation from Euler's Equation to Bernoulli's Equation. The trouble lies in the math, not the physics part. Especially the step when partial derivatives are being integrated.
I have attached the relevant part as a screenshot.
How does the...
Thats good so I can integrate a(s) to get half v2. How can I use calculus to transform that into a velocity or acceleration versus time graph so I can calculate the total time taken?
Thanks!
How can I get any useful information out of an acceleration vs distance graph if the acceleration is not constant? The area is not v2 or 1/2 v2 is it?
Hi,
I hope it is a very simple mistake and easy to spot.
Suppose you start at rest so initial velocity is 0 and you accelerate constantly over a certain distance.
An acceleration vs. distance graph (not time) would be like a rectangle. The area under the graph would be A=as=(s/t2)*s = v2...