In: Mechanical Engineering
A cylinder with a 20 inch stroke and a 4:3 area ratio with a bore of 6 inch diameter takes 4 seconds to extend. What is the flow required for extention?
Solution :
Given - Stroke, L = 5 0 inch
Area ratio = 4:3
bore diameter, D = 6 inch
time, t = 4s
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Calculation - Now we can find the Area of Cylinder,, A =
A = 56.54 inch2
And the Rod area,, R = (3/4) A = 42.41 inch2
Flow required for extention in CFM -
a) For Double acting Cylinder
CFM (cubic feet per minute) = (2xA - R) xS xC/1728
Where,A = Area of Cylinder in square inch
R= area of rod in square inch
S = stroke in inch
C = cycles per minute
now substituting all the values and we get -
CFM = {(2 x56. 54 - 42.41) x 20 x (1/4)}/1728
CFM = 0.2044
so we have the flow required for extension of double acting cylinder is 0.2044 Cubic feet per minute .
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For single acting cylinder -
CFM = {A x S X C} / 1728
CFM = {56.54 x 20 x (1/4)}/1728
CFM = 0.1635
For single acting cylinder the flow rate for extension will be equal to 0.1635 cubic feet per minute .