Question

An open tank has a vertical partition (with a rectangular gate: 4 m high, 1 m wide, and hinged at bottom) as shown in the figure. The tank contains two liquids: water (density 1,000 kg/m³) and gasoline (specific gravity of 0.9). Water is slowly added to the tank (due to a leak). At what water depth (h), in "m," will the gate start to open? Stop -Partition 4 m Water h Gasoline Hints Hinge Consider the moment developed at hinge.

Name: an open tank has a vertical partition with a rectangular gate 4 m high 1 m wide and hinged at bottom as shown in the figure the tank contains two liquids water density 1000 kgm3 and gasoline 06025
Uploaded: 2021-11-30T15:07:36-08:00
Duration: 2 min 53 s
Channel: Surendra Kumar
Description: an open tank has a vertical partition with a rectangular gate 4 m high 1 m wide and hinged at bottom as shown in the figure the tank contains two liquids water density 1000 kgm3 and gasoline 06025

          An open tank has a vertical partition (with a rectangular gate: 4 m high, 1 m wide, and hinged at bottom) as shown in the figure. The
tank contains two liquids: water (density 1,000 kg/m³) and gasoline (specific gravity of 0.9). Water is slowly added to the tank (due to
a leak). At what water depth (h), in "m," will the gate start to open?
Stop
-Partition
4 m
Water
h
Gasoline
Hints
Hinge
Consider the moment developed at hinge.

an open tank has a vertical partition with a rectangular gate 4 m high 1 m wide and hinged at bottom as shown in the figure the tank contains two liquids water density 1000 kgm3 and gasoline 06025

Added by Darryl C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Surendra Kumar

11/30/2021

Step 1

The specific gravity of gasoline is 0.9, so its density is $\rho_g = 0.9 \times 1000 = 900 \, kg/m^3$. The pressure at a depth $y$ from the surface of the gasoline is $P_g = \rho_g g y$, where $g$ is the acceleration due to gravity. The force exerted by the Show more…

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An open tank has a vertical partition (with a rectangular gate: 4 m high, 1 m wide, and hinged at bottom) as shown in the figure. The tank contains two liquids: water (density 1,000 kg/m³) and gasoline (specific gravity of 0.9). Water is slowly added to the tank (due to a leak). At what water depth (h), in "m," will the gate start to open? Stop -Partition 4 m Water h Gasoline Hints Hinge Consider the moment developed at hinge.