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A hydraulic press consists of two cylinders of cross-sectional radius r\(_1\) and r\(_2\). If a...

Physics
JAMB 2025

A hydraulic press consists of two cylinders of cross-sectional radius r\(_1\) and r\(_2\). If a force of 200N applied to the smaller piston (r\(_1\)), causes a force of 3200N to be transmitted onto the larger piston (r\(_2\)). The ratio r\(_1\): r\(_2\) is?

  • A. 1:4
  • B. 1:2
  • C. 1:8
  • D. 1:16
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Correct Answer: Option A
Explanation

Answer: A. 1:4

(Pressure equal: \(\frac{F_1}{(π r_1^2)}\) = \(\frac{F_2}{(π r_2^2)}\);

\(\frac{_r2}{r_1}\) = \(\sqrt{(F_2}{F_1)}\) = \(\sqrt{16}\) = 4.)

There is an explanation video available below.


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