I found that ##Y = \frac{1}{2} \frac{\omega ^2}{g} R^2 ##. If the pressure at the hole is ## \delta g (H+Y) ##, then using Bernoulli's equation in the hole and the center of the water surface gives me: ## \delta g (H+Y) + \frac{1}{2} \delta v_{r}^2 = P_{atm} + \delta g H ##.
So ##v_{r} =...
I think I understand most of your reasoning, but I'm not sure about how I could obtain Y in terms of the given data. Also, wouldn't the pressure at the hole be Patm, since it's exposed to the exterior of the tank?
Without obtaining Y in terms of the other quantities and assuming the pressure at...
We have a cylindrical water tank that spins over its axis of symmetry with constant angular velocity ω. Here's a diagram:
We wish to find:
1 - The tangential and radial components of the velocity of the water as it leaves the tank.
2 - The radius r reached by the water.
I'm not sure at all...
I haven't learned absolutely anything about relativity yet, and I'm don't know what that convention you're talking about is. Would you say I shouldn't learn relativity from this book? Even then, are the other parts good enough on the first edition, or should I buy the new one?
I have access to a copy of the first edition and would like to use this book to strengthen what I've learned in my first physics course in Engineering school. I know there is a second edition though, and I was wondering if the difference between the two is large enough to justify just buying...