Answer:
<em>The force applied to the smaller piston = 2512 N</em>
Explanation:
Hydraulic press: A hydraulic press is a device used to produce a very large force. A hydraulic force operates based on pascal's principle.
F/f = A/a................ Equation 1
making f the subject of the equation above
f =(F×a)/A............. Equation 2
Where F = Force on the larger piston, f = force on the smaller piston, A = area of the larger piston, a = area of the smaller piston.
<em>Given: F = 3200 N, and</em>
<em>Area (A) = πD²/4 where D = 16.0 cm = 0.16 m</em>
<em>A = 3.143×(0.16)²/4 = 0.02 m²</em>
<em>Also</em>
<em>a = πd²/4 where d = 2 cm = 0.02 cm</em>
<em>a = 3.143×(0.02)²/4</em>
<em>a = 0.0157 m²</em>
<em>Substituting these values into equation 2</em>
<em>f = (3200×0.0157)/0.02</em>
<em>f = 2512 N</em>
<em>The force applied to the smaller piston = 2512 N</em>
