Question

a. find the horizontal velocity of the water as it leaves the hole

b. what is the vertical velocity as the water leaves the hole

c.what assumptions did you need to make in a?

d. how far from the tank will the woman have to stand to catch the water in her mouth if htank = 6.25m and hhole = 1.25 m?

5. (7pts) For the figure shown below, assume atmospheric pressure Po is pushing down at the top and is the same at the hole in the side. Also assume that the diameter of the tank is very large compared to the size of the hole. Ροή h hole Po 6 Page

Answer 1

Here we will use the concept of Torricelli's theorem to find speed of water through the hole,which is also called as speed of efflux as described under in the form of images.

a) As the water leaves the hole, it will have only hozzontal - Component, which is equal to Jag hunde = [2 x 9.8x1.25 = 4.949 m/s. b] vertical velocity of water to mped in only horizontal direction. Vertical veloc comp

c) Ina, to find relocity of flowing water, we used Bernoulles theorem and took 2 points into Comeinderationen ie. Point A inside the liquid just before hole & point B outside the contrines, very near to hole

Total energy peeg unit mass is Consered at 2 points. A and B according to Bernoulli's theorem and we obtain the speed as undes e f 28 px P2 are ? e 2 e 2 s aya » P ? = 12 v2 {::P, P₂ = he pg? P 0² = 12 + 2 } pessus at

- 2 ㅕ 2gh =V

mótión, d) To find out how far womens Should stand, we use concept of projectile here, huove = 1.25m - hanke = 6m So, vestical displacement = 6-1.25 . = 4.75m using S=ut th at [for resten an den

- we love, - 4.75= {(9.9t² - t = 0.98 Sec. So, horizontal distance, where women should stand = horizontal relocity & time = 4.9498 0.98=4.85 m (Arloes)