What is the rate at which water flows out the tank in m^3/s?

In summary, we are given a tank filled with water to a depth of 0.6m and a hole with a cross-section of 6m^2 at the bottom. Using the equations for area and pressure, we can determine the rate at which water flows out of the tank in m^3/s by applying Bernoulli's principle and assuming laminar flow.
  • #1
lovelylm1980
18
0
A tank of large area is filled with water to a depth of 0.6m. A hole of 6m^2 cross section in the bottom allows water to drain out in a continuous stream. What is the rate at which water flows out the tank in m^3/s?
This is how I figure the problem should be solved:
Q= pi*r^4(p1-p2)/8L*viscosity

Area= 6e-4m^2
h= 0.6m
P= rho*g*h= 1.00e3kg/m^3*9.8m/s^2*0.6m= 5880N/m^2
what I can't figure out is how do I get viscosity from the area
 
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  • #2
This kind of question probably belongs in the Homework Help section. Anyways...

Forget viscosity. (Unless they want you to include it; in which case: Lot's of luck!) Assume laminar flow. Apply Bernoulli's principle. Hint: Since the tank has a "large area", ignore the 1/2ρV2 term at the surface.
 

What is the rate at which water flows out the tank in m^3/s?

The rate at which water flows out of a tank is dependent on several factors, such as the size of the tank, the pressure of the water, and any obstructions or restrictions in the flow. However, here are five frequently asked questions about the rate at which water flows out of a tank in m^3/s.

How is the flow rate of water measured?

The flow rate of water is typically measured in cubic meters per second (m^3/s). This is a unit of volume per unit of time and is commonly used to measure the amount of water flowing out of a tank or through a pipe.

What affects the flow rate of water in a tank?

The flow rate of water in a tank can be affected by various factors, such as the size and shape of the tank, the height of the water level, the pressure of the water, and any obstructions or restrictions in the flow. These factors can impact the speed and volume of water flowing out of the tank.

Can the flow rate of water be changed?

Yes, the flow rate of water can be changed by adjusting the pressure or size of the opening through which the water flows. For example, increasing the pressure will increase the flow rate, while decreasing the pressure will decrease the flow rate.

What is considered a high flow rate for water?

The flow rate of water can vary greatly depending on the size and purpose of the tank or pipe. However, a flow rate of 1 m^3/s is generally considered to be high for domestic use, while industrial or agricultural purposes may require much higher flow rates.

How can the flow rate of water be controlled?

The flow rate of water can be controlled by using valves, pumps, or other flow control devices. These can be adjusted to regulate the speed and volume of water flowing out of a tank or through a pipe.

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