Question

A town has a 1-million-gallon storage capacity water tower. If the density of water is 62.41b/ft and local acceleration due to gravity is 32.1 ft/s, what is the force in lbf the structural base must provide to support the water in the tower?

Answer 1

`w = 8.316* 10^6 lb`

Step-by-step explanation:

force that structural base must be provided with is equal to the weight of water

we know that

`\rho =(mass)/(V)`

`m =\rho V`

We know that

w = mg

so we have

`w = \rho Vg`

density of water is 62.4 lb/ft^3

V = 1 milllion = 100,000 gallons

`g = 32.1 ft/s^2`

`w = 62.4[*10^6 gallons (0.134)/(1 gallon)] [32.1 ft/s^2 (0.3048 m/s^2)/(ft/s^2) (m/s^2)/(9.8 m/s^2)]`

`w = 8.316* 10^6 lb`