Oroville Dam is the tallest in the US, with a maximum height of 770 feet, if the

Question

Oroville Dam is the tallest in the US, with a maximum height of 770 feet, if the reservoir completely full, what the gage pressure at its deepest point? 110 psi 220 psi 330 psi 440 psi If there is a 10-foot-tall by 12-foot-wide sluice gate at the very bottom of the dam, how much force is acting on the gate? Refer to Question 1. a. 1.90 times 10^2 lb b, 380 times 10^6 lb 5.80 times 10^6 Ib 7.60 times 10^6 lb If the upstream face of Oroville Dam has an area of 2.66 times 10^6 ft, what magnitude of force is acting upon the dam? Refer to Questions 1-2. 640 times 10^10 lb b. 640 times 10^11 6.40 times 10^12 lb 640 times 10^13 lb At what depth (from the top) along the upstream face of Oroville Dam is the resultant force acting? Refer to Question 193 feet 254 feet 385 feet 516 feet

Explanation / Answer

Q1.

H = 770 ft

if this is full, find gauge pressure at deepest point

Assume water

change to m

1 ft = 0.3048 m

770 ft = 0.3048*770 = 234.696 m of dam

For pressure (gauge) = density of liquid * Gravity * height of column

P (gauge) = 1000 kg/m3 * 9.8 m/s2 * 234.696 m

P (gauge) = 2300020.8 Pa

note that

1 psi = 6894.76 Pa

P in psi = 2300020.8 /6894.76 = 333.589 psi

nearest answer shown is 330 psi (C)

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