Answer:
The gauge pressure as calculated is 5862.36 Pa
Solution:
As per the question:
Radius, r = 1 cm = 0.01 m
Length, l = 60 cm = 0.6 m
Velocity of discharge of fluid from the mouth, v = 1.5 m/s
Now,
By using the continuity equation:
Av = A'v' (1)
where
A = Area of the mouth
A' = Area of the tube
v' = Velocity of the fluid inside the stomach
Since, the question assumes the stomach, mouth and esophagus as continuous vertical tube, then:
A = A'
Thus
From eqn (1):
v = v' = 1.5 m/s
Now,
With the help of Bernoulli's equation:
where
h - h' = l = 60 am = 0.6 m
P = Pressure at mouth = 1 atm =
g = acceleration due to gravity
Density of water,
P' = Pressure inside the stomach
P' - P = Gauge Pressure