A fluid is drawn up through a tube as shown below.The atmospheric pressure is the same at both ends.Use Bernoulli's equation to determine the speed of fluid flow out of the tank.If the height difference from the top of the tank to the bottom of the siphon is 1.0 m,then the speed of outflow is:
A)1.1 m/s
B)2.2 m/s
C)4.4 m/s
D)8.8 m/s

Question

A fluid is drawn up through a tube as shown below.The atmospheric pressure is the same at both ends.Use Bernoulli's equation to determine the speed of fluid flow out of the tank.If the height difference from the top of the tank to the bottom of the siphon is 1.0 m,then the speed of outflow is: 
A)1.1 m/s 
B)2.2 m/s 
C)4.4 m/s 
D)8.8 m/s

Quizplus · Accepted Answer

According to Bernoulli's equation, the pressure in the siphon must be lower than the pressure in the tank, and the speed of the fluid must increase as it flows from the tank to the siphon. Since the atmospheric pressure is the same at both ends, the difference in pressure is due to the difference in height between the top of the tank and the bottom of the siphon. The height difference is 1.0 m, so the speed of outflow can be calculated using the equation:

v^2 = 2gh

where v is the speed of outflow, g is the acceleration due to gravity (9.8 m/s^2), and h is the height difference. Plugging in the values, we get:

v^2 = 2(9.8)(1.0) = 19.6
v = √19.6 ≈ 4.4 m/s

Therefore, the best choice is C.

A Fluid Is Drawn Up Through a Tube as Shown