Flow rate of a tank with RAMP at the bottom

[unscientific]

Flow rate of a tank with RAMP at the bottom**

Homework Statement

50 m³ of water in a tank at a height of 11.5 metres.
The water will be flowing out of the tank down a ramp of 30 metres.
The angle of the ramp from the floor to the tank will be 22 degrees.

Homework Equations

v = sqrt (2gh+H_ramp), dm/dt = pav

The Attempt at a Solution

I did a complete working and only managed to find the flow rate at the nozzle! I've been thinking of ways to find the flow rate at the bottom of the ramp, and hopefully find a general equation to the flow rate at different points of the ramp!

Here's my attempt (BrilliantMinds): http://www.thestudentroom.co.uk/showthread.php?t=1337151"


I've only managed to find the speed of the water at the bottom; v = sqrt (2g(h+H) ), how do i relate this speed to mass flow rate and dh/dt, where h is the height of water in the tank?

 

[lippyka]

The flow rate at the bottom of the ramp is equal to the mass flow rate multiplied by the speed of the water. Therefore, the flow rate at the bottom of the ramp can be calculated with the following equation:Flow rate = dm/dt * v Where dm/dt is the mass flow rate and v is the speed of the water.