Question

The closed vessel of Fig. $P 2.110$ contains water with an air pressure of 10 psi at the water surface. One side of the vessel contains a spout that is closed by a 6 -in.- diameter circular gate that is hinged along one side as illustrated. The horizontal axis of the hinge is located 10 ft below the water surface. Determine the minimum torque that must be applied at the hinge to hold the gate shut. Neglect the weight of the gate and friction at the hinge.

Name: The closed vessel of Fig. P 2.110 contains water with an air pressure of 10 psi at the water surface. One side of the vessel contains a spout that is closed by a 6 -in.- diameter circular gate that is hinged along one side as illustrated. The horizontal axis of the hinge is located 10 ft below the water surface. Determine the minimum torque that must be applied at the hinge to hold the gate shut. Neglect the weight of the gate and friction at the hinge.
Uploaded: 2021-11-30T15:20:04-08:00
Duration: 1 min 21 s
Channel: Surendra Kumar

          The closed vessel of Fig. $P 2.110$ contains water with an air pressure of 10 psi at the water surface. One side of the vessel contains a spout that is closed by a 6 -in.- diameter circular gate that is hinged along one side as illustrated. The horizontal axis of the hinge is located 10 ft below the water surface. Determine the minimum torque that must be applied at the hinge to hold the gate shut. Neglect the weight of the gate and friction at the hinge.

Added by Carol J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Surendra Kumar

11/30/2021

Step 1

Given: Pressure at water surface, $P = 10$ psi Diameter of gate, $d = 6$ in Depth of hinge below water surface, $h = 10$ ft Convert pressure to force: $P = 10$ psi $= 10$ lbf/in$^2$ Calculate force due to pressure at hinge: $F_1 = P \times \pi Show more…

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The closed vessel of Fig. $P 2.110$ contains water with an air pressure of 10 psi at the water surface. One side of the vessel contains a spout that is closed by a 6 -in.- diameter circular gate that is hinged along one side as illustrated. The horizontal axis of the hinge is located 10 ft below the water surface. Determine the minimum torque that must be applied at the hinge to hold the gate shut. Neglect the weight of the gate and friction at the hinge.