Question

In a hydraulic press, there is a larger piston of diameter 35 cm at a height of 1.5 m relative to the smaller piston of diameter 10 cm. A 20 kg mass is loaded on the smaller piston. The density of oil in the press is 750 kg/m³. The thrust on the load by the larger piston is ______.

 

Options

• 1.1 × 10³ N

• 1.3 × 10³ N

• 1.1 × 10⁴ N

• 1.3 × 10⁴ N

Answer 1

In a hydraulic press, there is a larger piston of diameter 35 cm at a height of 1.5 m relative to the smaller piston of diameter 10 cm. A 20 kg mass is loaded on the smaller piston. The density of oil in the press is 750 kg/m³. The thrust on the load by the larger piston is 1.3 × 10³ N.

Explanation:

Diameter of the bigger piston = 35 cm

Diameter of the smaller piston = 10 cm

`P_1 - P_2 = hrhog`

`(20 xx 9.8)/(pi(0.05)^2) - F/(pi(0.175)^2) = 1.5 xx 750 xx 9.8`

`249680 - F/0.096 = 11025`

F = (24968 – 11025) × 0.096

F = 1338 N

F = 1.3 × 10³ N