Assuming the density of water is 62.4 lbm/ft3, and using standard gravity, how much does 1 gallon of water weigh?

Respuesta :

Answer:

The weight of the water is 37.14 N.

Explanation:

Given;

density of water, ρ = 62.4 lbm/ft³

volume of water, V = 1 gallon = 0.1338 ft³

The mass of the water is calculated as;

m = ρV

[tex]m = 62.4 \ \frac{lbm}{ft^3} \ \times \ 0.1338 \ ft^3\\\\m = 8.349 \ lbm[/tex]

1 lbm = 0.454 kg

8.349 lbm = ?

= 3.79 kg

The weight of the water is calculated as;

W = mg

where;

g is acceleration due to gravity = 9.8 m/s²

W = (3.79)(9.8)

W = 37.14 N.

Therefore, the weight of the water is 37.14 N.