http://www.denialville.com/gs-faucet/
What is the formula for the scale reading?
A scale is adjusted so that when a large, shallow pan is placed on it, it reads zero. A water faucet at height height = 3.0 m above is turned on at t=0 and water falls into the pan at a rate R = 0.14 kg/s.
What is the formula for the scale reading as a function of time t for t > (2*h/g)^1/2? Can you express it in terms of variables h, R, and t please? Thank you.
There are two components to the scale force. One is the weight of the water = gR(t-(2h/g)^1/2), the other is the momentum change of the water = RΔv, where Δv is impact velocity = (2gh)^1/2. Add the two and that's the total force.
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