High School

For every 10 feet above the roof that the tank is raised, the top floor pressure goes up how many PSI?

A. 5 PSI
B. 10 PSI
C. 15 PSI
D. 20 PSI

Answer :

Final answer:

The top floor pressure increases by 4.33 PSI for every 10ft the tank is raised above the roof, which is not one of the provided options.

Explanation:

For every 10ft above the roof that the tank is raised, the top floor pressure goes up by 4.33 PSI, which means none of the provided options (a, b, c, d) are correct. To calculate the increase in pressure due to the elevation of a water tank, we use the formula that equates the pressure to the product of the height of the water column, the density of water, and the acceleration due to gravity.

Given that the density of water is approximately 62.4 lb/ft³ and the acceleration due to gravity is 32.2 ft/s³, for every foot of elevation, the pressure increases by 0.433 PSI (62.4 lb/ft³ / 144 in²/ft² * 1 ft * 32.2 ft/s³). Therefore, for every 10ft, the pressure increase would be 4.33 PSI, when atmospheric pressure is not factored in.