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COMEDK · Physics · 11. Mechanical Properties of Fluids

A hydraulic automobile lift is designed to lift cars with a maximum mass of 3000 kg . The area of cross-section of the piston carrying the board is \(425 \mathrm{~cm}^2\). What maximum pressure would smaller piston have to bear?

  1. A \(5.2 \times 10^4 \mathrm{~Pa}\)
  2. B \(4.2 \times 10^5 \mathrm{~Pa}\)
  3. C \(6.92 \times 10^4 \mathrm{~Pa}\)
  4. D \(5.92 \times 10^5 \mathrm{~Pa}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(6.92 \times 10^4 \mathrm{~Pa}\)

Step-by-step Solution

Detailed explanation

The maximum force, which the bigger piston can bear, \(F=30000 \mathrm{kgf}=3000 \times 9.8 \mathrm{~N}\) Area of piston, \(A=425 \mathrm{~cm}^2=425 \times 10^{-4} \mathrm{~m}^2\) \(\therefore\) Maximum pressure on the bigger piston,…