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CP CALC The upper edge of a gate in a dam runs along the
Chapter 12, Problem 54P(choose chapter or problem)
CP CALC The upper edge of a gate in a dam runs along the water surface. The gate is 2.00 m high and 4.00 m wide and is hinged along a horizontal line through its center (Fig. P12.55). Calculate the torque about the hinge arising from the force due to the water. (Hint: Use a procedure similar to that used in 12.53; calculate the torque on a thin, horizontal strip at a depth h and integrate this over the gate.) 12.53 ... CALC A swimming pool is 5.0 m long, 4.0 m wide, and 3.0 m deep. Compute the force exerted by the water against (a) the bottom and (b) either end. (Hint: Calculate the force on a thin, horizontal strip at a depth h , and integrate this over the end of the pool.) Do not include the force due to air pressure.
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QUESTION:
CP CALC The upper edge of a gate in a dam runs along the water surface. The gate is 2.00 m high and 4.00 m wide and is hinged along a horizontal line through its center (Fig. P12.55). Calculate the torque about the hinge arising from the force due to the water. (Hint: Use a procedure similar to that used in 12.53; calculate the torque on a thin, horizontal strip at a depth h and integrate this over the gate.) 12.53 ... CALC A swimming pool is 5.0 m long, 4.0 m wide, and 3.0 m deep. Compute the force exerted by the water against (a) the bottom and (b) either end. (Hint: Calculate the force on a thin, horizontal strip at a depth h , and integrate this over the end of the pool.) Do not include the force due to air pressure.
ANSWER:Solution 54P Step 1: Pressure of the water column, P = gh Where, - Density of water g - Acceleration due to gravity h - Height of the water column Equation for force, F = PA Where, P - Pressure acting on the surface A - Area of the surface Then, for an elemental area dA, the force acting, dF = PdA