Past paper question about rates

[captainjack2000]

Homework Statement

Water is falling gently into a large tank at 0.2m^3s^-1 and leaves through a small hole in the bottom of the tank of area 0.05m^2. What is the water velocity as it leaves? How full is the tank in the steady state?

Homework Equations

Well if the rate of water entering is 0.2m^3s^-1 by dimensional analysis rate=velocity*area
So the rate of water leaving the tank will be v*Area = v*0.05

I'm not sure how to find the velocity of the water as it leaves the tank because surely these two rates will not be the same (except in the steady state??)

 

[Astronuc]

Homework Statement

Water is falling gently into a large tank at 0.2m^3s^-1 and leaves through a small hole in the bottom of the tank of area 0.05m^2. What is the water velocity as it leaves? How full is the tank in the steady state?

Homework Equations

Well if the rate of water entering is 0.2m^3s^-1 by dimensional analysis rate=velocity*area
So the rate of water leaving the tank will be v*Area = v*0.05

I'm not sure how to find the velocity of the water as it leaves the tank because surely these two rates will not be the same (except in the steady state??)

You've almost got it.

What is v * Area? or rather what are the units of v * A?

 

[lola2000]

sorry what do you mean
how to do change velocity*area?