Question

A cylindrical drum 2-ft diameter and 4ft height is filled with fluid whose density is 40lb/ft^3.

Determine

(A) the total volume of

(B) its total mass in pounds and slugs

(C) its specific volume and

(D) its specific weight where g=31.90 fps^2

Answer 1

(1) $V=\pi r^2h$

$V=3.14\times1^2\times4=12.56ft^3$

(2) mass

$M=\rho\times V$

$M=40\times12.56=502.4lb$

1lb=0.031slung

$$M=502.4\times0.031=15.5744slug$$

(C) specific volume

$v=\frac{1}{\rho}=\frac{1}{40}=0.025ft^3/lb$

(D)

Specific weight

$W=\rho\times g$

$W=40\times31.9=1276lb/ft.s^2$