Assignment $1$

$2-22$E$.$ Fifty gallons of hydraulic oil weigh $372$ lb $.$ What is the specific weight in units of $1\frac{b}{f}{t}^3?$

$2-24$E$.$ A container weighs $3$ lb when empty, $53$ lb when filled with water, and $66$ lb when filled

with glycerin. Find the specific gravity of the glycerin.

$2-25$M$.$ Air at $20C$ and atmospheric pressure has a density of $1\mathrm{.}23k\frac{g}{m^3}.$

a$.$ Find its specific gravity.

b$.$ What is the ratio of the specific gravity of water divided by the specific gravity of

air at $20C$ and atmospheric pressure?

$2-26$M$.$ A cylindrical container has a diameter of $0\mathrm{.}5$ m and a height of $1$ m $.$ If it is to be

filied with a liquid having a specific weight of $2000\frac{N}{m^3},$ how many kg of this

liquid must be added?

$2-33$E$.$ A $100-$ft$-$long pipe is inclined at a $30$ angle with the horizontal. It is filled with oil of

specific gravity $0\mathrm{.}90.$ What is the pressure at the base of the pipe if the top of the pipe

is vented to the atmosphere?

$2-34$M$.$ For the fluid power automotive lift system of Figure $2-21,$ the hydraulic piston has

a $250-mm$ diameter. How much oil pressure $($ kPa $)$ is required to lift a $13,300-N$

automobile?

$2-36$M$.$ A $500-c{m}^3$ sample of oil is compressed in a cylinder until its pressure is increased

from $1$ atm to $50$ atm $.$ If the bulk modulus equals $1750$ MPa $,$ find the percent change

in volume of the oil.

$2-37$E$.$ The load on a $2-$in$.-$diameter hydraulic cylinder increases from $10,000lb$ to $15,000lb.$

Due to the compressibility of the oil, the piston retracts $0\mathrm{.}01$ in $.$ If the volume of oil

under compression is $10i{n}^3,$ what is the bulk modulus of the oil in units of psi $?$