How fast does water flow from a hole at the bottom of a very wide, 7.8m deep storage tank filled with water? Ignore viscosity.
To determine how fast water flows from a hole at the bottom of a storage tank, you can use Torricelli's Law, also known as the Torricelli's theorem. This law states that the velocity of a fluid flowing out of a hole in a container is equal to the velocity it would have if it fell freely from a height equal to the fluid's surface level.
To calculate the velocity of the water flowing out of the hole, you can use the formula:
v = √(2gh)
Where:
v = velocity of the water flowing out of the hole
g = acceleration due to gravity (approximately 9.8 m/s^2)
h = height of the water column above the hole
In this case, the height of the water column above the hole is equal to the depth of the storage tank, which is given as 7.8m.
Let's substitute the values into the formula:
v = √(2 * 9.8 * 7.8)
Calculating this equation, we get:
v ≈ 12.19 m/s
Therefore, the water will flow out of the hole with a velocity of approximately 12.19 m/s.