Longhorn Dam is a dam built on the Colorado river that creates the Lady Bird Lake in Austin, TX. The water goes up to a height of 11 m and covers a length of 154 m on the dam, creating a rectangular barrier. In order to compute the hydrostatic force upon the dam, we can use the pressure of water at depth h where rho is the density of water and g is gravity. Typically, in the month of August every year, the water temperature of Lady Bird near the dam is about 85° F, which gives p970.56 Kg/m3. Given that hydrostatic force is F pA for constant pressure along an area A, calculate the differential of force dF along a horizontal strip on the dam at depth h. Assume that the dam's contact surface with the water is rectangular.
dF- 9511.5 dh N/m
dF 1464769.2 dh N/m
dF 970.6 dh N/m
Find the total hydrostatic force on the dam
732384.6
73238457.6 N
88618533.7 N
87886149.1 N
32385 N
Find the change in hydrostatic force on the dam with respect to depth.
970.6 N/m
9511.5 N/m
9511.5hN/m
1464769.2 N/m
970.6HN/m
1464769.2 N/m