Answer to Question #288549 in Classical Mechanics for joseph

Question

1.A large tank contains water having a depth of 1.5 m. lf the tank is on an elevator that is descending, determine the horizontal speed of a wave created on its surface if the rate of descent is (a) constant at 6 m/s. (b) accelerated at 1.5 m/s2. (c) accelerated at 9.81 m/s2.

2.. Water flows at 840(103) liters/min through a rectangular channel having a width of 3 m. If yA = 1 m, show that yB = 1.25 m is possible. What is the necessary increase in elevation h of the channel bed to create this depth?

Answer 1

1.

a)

$v=\sqrt{gh}=3.8~\frac ms,$

b)

$v=\sqrt{(g-a)h}=3.5~\frac ms,$

c)

$v=\sqrt{(g-a)h}=0~\frac ms.$

2.

$h=\frac Qg\sqrt{y^2_B-y^2_A}=0.4~m.$