hydrostatic presure and force Consider a pool with two triangular ends as shown.
ID: 1408710 • Letter: H
Question
hydrostatic presure and force
Consider a pool with two triangular ends as shown. The pool is completely filled with water. Determine the force the water exerts on one triangular end. Consider the pool shown in problem 1. Determine the force the water exerts on each of the two rectangular sides. (Note: They are not equal in magnitude!) Consider the dam in Example 3. Suppose there is a rectangular gate near the top of the dam that can be used to release water. The gate is 4 m wide and 3 m tall and is hinged at its top edge so that it will close under its own weight. Determine the torque on the gate for rotation about its top edge when the water level is 8 m above its top edge.Explanation / Answer
1)the average depth is 3/2
the weight of water at that depth is the mass of water above, times g, times height..
weight of water at depth 3/2 m is
density water*g*volume water
1043kg/m^3*9.8N/kg*3m/2*1m^2
= 15332.1N
that is the average force on one rectangular end.
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