Project ForgeFluid Mechanics
Bernoulli's Equation
GATE 2019
Medium
A hydraulic lift (g=10 m/s²) has a right cylinder of diameter 2m supporting a 1000kg vehicle. The maximum diameter D_left (m) of the left cylinder that lifts the vehicle using a force of 100N is (rounded off to two decimal places)
0.2 m(± 0.01 accepted)
Explanation
Pressure balance: F_left/A_left=Weight/A_right. A_right=π(2)²/4=3.1416m², P=10000/3.1416=3183.1Pa. A_left=100/3183.1=0.031416m². D_left=√(4×0.031416/π)=0.2m.
Source: GATE CH 2019 (2019)
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