The speed of efflux through an orifice to a small hole in a large is 9.8ms-1. what would be the height of fluid above the orifice?

The speed of efflux through an orifice to a small hole in a large is 9.8ms-1. what would be the height of fluid above the orifice?

Explanation

To determine the height of the fluid above the orifice, we use Torricelli's law, which states:

v= √2gh

where:

v is the speed of efflux (9.8 m/s)

𝑔 is the acceleration due to gravity (9.8 m/s²)

h is the height of the fluid above the orifice


We need to solve for h: 9.8=  2×9.8×h

Square both sides to eliminate the square root:

9.8 ^2 = 2×9.8×h

96.04=19.6h

Divide both sides by 19.6 to isolate ℎ:

ℎ 96.04/ 19.6

h=4.9m