an engineer student has been given the assignment of designing a hydraulic holding system for a hay baling system. the system has four cylinders with 120 mm diameter pistons with a stroke of .320meters. th elines connecting the system are 1 cm inside diameter. there are 15.5 meters of lines in the system. for proper design the reserve tank should hold a minimum of 50 percent more than the amount of hydraulic fluid in the system. if the diameter of the reserve tank is 30.48 cm, whatis the shortest height it should be?
2007-01-30 04:43:36 · 1 answers · asked by Anonymous in Science & Mathematics ➔ Engineering
First reduce all of your measurements to cm
Cylinders are 12cm diameter x 32cm long (x 4 cylinders)
Fluid lines are 1 cm diameter x 1550 cm long
Storage tank has a diameter of 30.48 cm
A = Area of a circle A = Pi (3.1416) x RADIUS squared
V = Volume of a cylinder V = A x Height (or length)
Cylinders are 3.1416 x 6 x 6 x 32 x 4 = 14,476.492 cc
Fluid lines are 3.1416 x 0.5 x 0.5 x 1550 = 1,217.137 cc
Add them together = 15,693.629 cc = total volume of system.
Add 50% of total volume = 23,540.443 cc
Storage tank has a diameter of 30.48 cm
Area of storage tank (using formula above) = 729.66 sq. cm
Tank volume required = 23,540.443 cc
Divided by tank area (729.66 sq. cm) = 32.262 cm tall
The answer is 32.262 cm... I hope that helps you!
2007-01-30 10:38:10 · answer #1 · answered by Gordon B 4 · 0⤊ 0⤋