Question

a hydraulic press has an input piston radius of 0.5 mm, it is linked to an output piston that is three times that size, what mechanical advantage does this press have

Answer 1

Explanation:

a hydraulic press has an input radius of 0,5 mm, it is linked to an output piston that is three times that size , what mechanical advantage does this press have.

Answer 2

Answer:

The mechanical advantage of the hydraulic press is 9.

Explanation:

Given,

The radius of the input piston (r) = 0.5 mm.

The radius of the output piston (R) = 3 × 0.5 mm = 1.5 mm.

To find,

The mechanical advantage of a hydraulic press

Concept,

Mechanical advantage = Load/effort = Output force/input force

But Force = Pressure × Area

⇒ Mechanical advantage = (pressure × area of output piston)/(pressure × area of input piston).

Mechanical advantage = area of output piston/area of input piston.

Calculation,

Mechanical advantage = area of output piston/area of input piston.

M.A = (π × R²)/(π × r²)

⇒ M.A = R²/r²

⇒ M.A = 1.5²/0.5²

⇒ Mechanical advantage = 9

Therefore, the mechanical advantage of the hydraulic press is 9.

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