Fluid Mechanics

JEE Main level, numerical answer, medium

27 of 192

Question 27 of 192


A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of 10 N10 \mathrm{~N} is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the thicker arm to maintain equilibrium of water is _____N.

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Answer: 1000

F1A1=F2A2F1π(7)2=10π×(0.7)2F1=1000 N\begin{aligned} & \frac{F_1}{A_1}=\frac{F_2}{A_2} \\ & \frac{F_1}{\pi(7)^2}=\frac{10}{\pi \times(0.7)^2} \\ & F_1=1000 \mathrm{~N}\end{aligned}

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