But ##Q## is ##Q##? The velocity of the surface of the water in the boat water is ##v = \dot h##. The pond height change assumed negligible, where ##\dot h ## is the rate of change of water height in the boat. As far as I can see the hole is given dimension just so we can assume the steady...
I would forget the hole ( I think you would need to find out how thick the boat is on its bottom - perhaps it is to be negligible thickness?) Apply Bernoulli's between the surface of the pond and the surface of the water in the boat. I don't think hole geometry has relevance when applied this...
You can apply Bernoulli's (steady flow) between the pond surface and the water inside the boat (at its surface) for a relatively slow leak. That is how they get ## v^2 = 2g\Delta h##. The mass of the boat and its contents( people, etc...) is constant, but the buoyant force of the boat is...
But it says the liquid is filled up in the bucket to a height ##h## above the flat bottom. Then it spins at some ##\omega## and some amount spills out. Then the drain is opened. ##h## is the initial height of the unspinning volume. Don't they need to fine the volume left after it is...
Why does the orifice suddenly opened effect the volume of the liquid in the container after the bucket rotating at constant angular velocity?
Maybe you should read the question carefully...
The equation doesn't fit the problem. At steady state no portion of the bottom is dry...
Its going to need to be something like ##y = kx^2 +C(\omega)##
I don't think your function fits the picture? The volume doesn't start out as a paraboloid, its initially a cylinder, the thing starts spinning and some of the water flies out leaving a parabolic cut out.
if you substitute ##x=0##, you get ##y=0##. Did they give you this function in the...
My uncle has a PhD in Aerospace Engineering( semi retired now)...As far as I know he's complained about it ever since. Piled higher and Deeper.
To get there...sure, but this kid needs to know that if you don't get there you might not be missing as much in life as you think.
I (obviously no...
Thats fine, but they are also saying "How can I be successful in life?". No one knows the answer to that question...except for maybe biologically. Making them "brilliant" or being "intelligent" doesn't guarantee any of that. I think it's actually detrimental. People should just stop selling a...