Question

In: Mechanical Engineering

A cylinder with a 20 inch stroke and a 4:3 area ratio with a bore of...

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?

Solutions

Expert Solution

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 .


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