5. A large cylindrical water tank 11.5 m in diameter and 13.5 m tall is supporte

Question

5. A large cylindrical water tank 11.5 m in diameter and 13.5 m tall is supported with its base 8.75 m above the ground by a stand as shown in the figure. The water level in the tank is 10.6 m deep, and the density of the water in the tank is 1.00 g/em. A very small hole is formed at the base of the vertical wall of the tank, and water is squirting out of this hole horizontally. When this water hits the ground, how far (AX) has it traveled horizontally from the hole, assuming no air resistance? (20 points) Answer: 19.3m 13.5m 10.6 m tole

Explanation / Answer

Answer:-

H= height of bottom of the hole
h=height of water above the hole

Pressure at the bottom:
P=pgh

Velocity of water:
pv^2/2=P=pgh
v^2=2gh

Time in free fall:
gt^2/2=H
t^2=2H/g

Horizontal distance traveled by water jet:
a=vt
a^2=v^2t^2
a^2=(2gh)(2H/g)=4Hh

H=19.35m-10.6m=8.75m
h=10.6
a^2=4(8.75m)(10.6m)
a=19.3m

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