Question

Площа меншого поршня гідравлічної машини 0,002 м², площа бiль ШОГО ПОРШНЯ - 300 см². чому дорiвнює сила, яка діє на більший поршень, якщо на менший дiє сила 0,4 кН?

Answer 1

Ответ: 6кН

Объяснение:

Дано:

S1=0,002м²=20см²

F1=0,4кН

S2=300см²

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F2-?

F1/S1=F2/S2

F2=F1*S2/S1=0,4*300/20=6кН

Answer 2

Hydraulic Machine Force Calculation

The force exerted on the larger piston in a hydraulic machine can be calculated using the formula:

Force = Pressure × Area

Where: - Pressure is the pressure applied to the smaller piston. - Area is the area of the larger piston.

Given: - Area of the smaller piston = 0.002 m² - Area of the larger piston = 300 cm² = 0.03 m² - Force on the smaller piston = 0.4 kN = 400 N

Calculation

First, let's convert the force on the smaller piston from kilonewtons to newtons: - 0.4 kN = 0.4 × 1000 N = 400 N

Now, we can calculate the force exerted on the larger piston using the formula: - Force = Pressure × Area

Given that the pressure is the same throughout the hydraulic system, we can use the force on the smaller piston to calculate the force on the larger piston.

Force on the Larger Piston

Force on the larger piston = Pressure × Area - Force on the larger piston = 400 N × (0.03 m² / 0.002 m²) - Force on the larger piston = 400 N × 15 - Force on the larger piston = 6000 N

Therefore, the force exerted on the larger piston is 6000 N when a force of 0.4 kN is applied to the smaller piston.