# Engineering

Determine the minimimum depth of a water reservoir that will provide a flow rate of 1200 gpm in a 4 inch diameter horizontal pipe that opens to the atmosphere

You ought to consider Bernoulli's equation for this, it is in your text.

You can model it as this:

A drop of water at the top has potential energy m*g*h
This has to equal the kinetic enery of the same drop going out of the horizontal tank
1/2 m v^2

Now veloicty v can be manipulated equal
area*velocity = volume/time, and you know the volume/time as 1200g/min. Change that to m^3/sec.
set the two energies equal.
1/2 mv^2=mgh
h= 1/2 v^2/g
put in for v the velocity (convert 1200gal/min to inch^3/sec, divide by the area of a 4 inch pipe. Then solve for h.

im sorry but i am completly lost.
i have h= 1/2 v^2/g
i know h is height v is velocity and g is gravity but how do i find g?
another thing what is the easiest way to convert gal/min to inch/sec?

gal convert to inches cubed.
min convert to sec

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### Physics

A hand-pumped water gun is held level at a height of 0.85 m above the ground and fired. The water stream from the gun hits the ground a horizontal distance of 6.9 m from the muzzle. Find the gauge pressure of the water gun's

2. ### Precalculus

Water is flowing at the rate of 50 m^3/min from a conical reservoir (vertex down) of base radius 45 meters and height 6 meters. What is the water level when the reservoir has 5000 m^3 of water left in it?

3. ### math problem

A simple rain gutter is constructed using a sheet of aluminum that is 40cm wide. The edges are turned up to form right angles. Determine the depth of the gutter that will maximize the cross-sectional area (allowing the greatest

4. ### Math

Water is flowing at the rate of 50m^3/min from a concrete conical reservoir of base radius 45m and height 6m. How fast is is the water level falling when the water is 5m deep?

1. ### calculus

A reservoir is in the form og the frustum of a cone with upper base of radius 8ft and lower base radius of 4 ft and altitude of 10ft. The water in the reservoir is xft deep. If the level of the water is increasing at 4ft/min., how

2. ### calculus

A 24ft high conical water tank has its vertex on the ground and radius of the base is 10 ft. If water flows into the tank at a rate of 20 ft3/min, how fast is the depth of water increasing when the depth of the water is 20 ft?

3. ### phys

Heat Q flows spontaneously from a reservoir at 481 K into a reservoir at 298 K. Because of the spontaneous flow, 2760 J of energy is rendered unavailable for work when a Carnot engine operates between the reservoir at 298 K and a

4. ### Math

If a hemispherical bowl of radius 6cm contains water to a depth of h cm, the volume of the water is 1/3πh^2(18-h). Water is poured into the bowl at a rate 4 cm^3/s . Find the rate at ehich the water level is rising when the depth

1. ### calculus

1. A conical reservoir has a depth of 24 feet and a circular top of radius 12 feet. It is being filled so that the depth of water is increasing at a constant rate of 4 feet per hour. Determine the rate in cubic feet per hour at

2. ### physics

The vertical surface of a reservoir dam that is in contact with the water is 200 m wide and 14 m high. The air pressure is one atmosphere. Find the magnitude of the total force acting on this surface in a completely filled

3. ### math

A pipe carries water at a flow rate of 10 gpm. Determine its volumetric flow (Q=V/time) in: A. Ft^3/s

4. ### Calculus

The rate at which water flows into a tank, in gallons per hour, is given by a differentiable, increasing function R of time t. The table below gives the rate as measured at various times in an 8-hour time period. t (hours) 0 2 3 7