The diagram shows when a hydraulic machine uses a liquid to transmit a force. When piston X is pressed, the force is transmitted and piston Y moves. The area of piston X is 4.0 cm² and the area of piston Y is 20 cm². Piston X is pressed with a force of 10N. What is the force produced at piston Y? Use the equation: pressure = force normal to a surface / area of that surface.

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The diagram shows when a hydraulic machine uses a liquid to transmit a force - OCR Gateway - GCSE Physics - Question 10 - 2022 - Paper 1

Question 10

The diagram shows when a hydraulic machine uses a liquid to transmit a force. When piston X is pressed, the force is transmitted and piston Y moves. The area of pis... show full transcript

Worked Solution & Example Answer:The diagram shows when a hydraulic machine uses a liquid to transmit a force - OCR Gateway - GCSE Physics - Question 10 - 2022 - Paper 1

Step 1

Calculate Pressure at Piston X

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Answer

To find the pressure exerted on piston X, we use the formula:

ext{Pressure} = rac{ ext{Force}}{ ext{Area}}

The area of piston X is 4.0 cm², which we convert to m² for calculations:

4.0 ext{ cm}^2 = 4.0 imes 10^{-4} ext{ m}^2

Now, substituting the values:

ext{Pressure} = rac{10 ext{ N}}{4.0 imes 10^{-4} ext{ m}^2} = 25000 ext{ Pa}

Step 2

Calculate Force at Piston Y

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Answer

The pressure is transmitted equally throughout the liquid, so we use the same pressure to find the force at piston Y:

Using the equation again:

ext{Force} = ext{Pressure} imes ext{Area}

The area of piston Y is 20 cm², also converted to m²:

20 ext{ cm}^2 = 20 imes 10^{-4} ext{ m}^2

Now substituting the pressure and area into the equation:

ext{Force} = 25000 ext{ Pa} imes 20 imes 10^{-4} ext{ m}^2 = 50 ext{ N}

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The diagram shows when a hydraulic machine uses a liquid to transmit a force - OCR Gateway - GCSE Physics - Question 10 - 2022 - Paper 1

Worked Solution & Example Answer:The diagram shows when a hydraulic machine uses a liquid to transmit a force - OCR Gateway - GCSE Physics - Question 10 - 2022 - Paper 1

Calculate Pressure at Piston X

Calculate Force at Piston Y

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