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A hydraulic jack has input piston with radius 0.22 m and output piston with radius 1.3 m. If the input force is 346 N, calculate the output force in kN.

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Final answer:

By applying Pascal's Law and calculating the areas of the input and output pistons, the output force of a hydraulic jack given an input force of 346 N can be found. The output force calculated is approximately 12.09 kN.

Step-by-step explanation:

The principle here is Pascal's Law, which states that pressure applied to an enclosed fluid will be transmitted equally to all sections of the fluid. You can calculate the output force using the formula: Output Force = (input force * output area) / input area. First, calculate the area of both pistons with the formula: Area = π * radius^2. The input piston area becomes 0.15 m^2 and the output piston area becomes 5.3 m^2. Substituting the values into the formula, the output force is approximately 12,088 N, then convert to kilonewtons (kN) by dividing by 1000, which is approximately 12.09 kN.

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