Question

A 5m wide gate will be constructed in the dam. The lake is 6m deep. Please find the average horizontal force applied on the gatefromthe lake water. Usewater density of 1000 kg/m3, atmosphericpressureof101 kPa, and g

Answer 1

Answer:

F = 882.9 k N

Explanation:

given,

width of gate, W = 5 m

depth of the lake, h = 6 m

density of water = 1000 kg/m³

Atmospheric pressure = 101 kPa

now, Pressure at the bottom of the gate

P = ρ g h

P = 1000 x 9.81 x 6

P = 58860 Pa

Now, Force acting on the plate is

$F = \dfrac{1}{2}Pwh$

$F = \dfrac{1}{2}\times 58860 \times 5 \times 6$

F = 882900 N

F = 882.9 k N

the average horizontal force applied on the gate from the lake water is equal to F = 882.9 k N