Question

The mechanical advantage of hydraulic presses ……… if the ratio of diameters of the press cylinder to pump cylinder 2 : 1
A. 8 : 1
B. 4 : 1
C. 3 : 2
D. 1 : 8

Answer 1

Use radius of press for pump ratio the mechanical advantage will be found. The reason for the large mechanical advantage in a hydraulic system is the ability of the fluid to transmit pressure equally. It allows you to use a small force on the small piston to produce a larger force on the large piston. The force and area at each piston act as ratios that have to be equal.

Complete step by step answer:
The ideal mechanical advantage equals the length of the effort arm divided by the length of the resistance arm of a lever. In general, the IMA = the resistance force, Fr, divided by the effort force, Fe. IMA also equals the distance over which the effort is applied, de, divided by the distance the load travels, dr. The mechanical advantage of a machine is the ratio of the load (the resistance overcomes by a machine) to the effort (the force applied). There is no unit for mechanical advantages since the unit for both input and output forces cancel out.
Mechanical advantage of hydraulic press (M, A)
$= \dfrac{{\text{(Radius of press cylinder)}}^2}{{\text{(Radius of pump cylinder)}}^2}$
There, ${r_{\text{press}}} = {\left( {\text{diameter}} \right)_{\text{pump}}} = 2{r_{\text{pump}}}$
${r_{\text{press}}}/{r_{\text{pump}}} = 2$
$M.A. = \dfrac{{{{\left( 2 \right)}^2}}}{{{{\left( 1 \right)}^2}}} = \dfrac{4}{1}$
Therefore the answer to that bank is 4 : 1

So, the correct answer is “Option B”.

Note: Use the given equations in the solution part to where this question. Mechanical Advantage > 1 means that the output force will be greater than the input force. – (But the input distance will need to be greater than the output distance.). A single pulley has a mechanical advantage of 1.