Respuesta :
During urination, the pressure in the bladder increases to produce the flow hence, the speed of the flow of urine is 1.19 m/s and bernoulli's equation give for the pressure in the bladder is -9092 pa.
The Bernoulli equation is concerned with the conservation of kinetic, potential, and flow energies of a fluid stream and their conversion to each other in regions of flow where net viscous forces are negligible and where other restrictive conditions apply. The energy equation is a statement of the conservation of energy principle.
The Bernoulli equation is an approximate relation between pressure,velocity, and elevation, and is valid in regions of steady, incompressible flow where net frictional forces are negligible.
Given,
d = 8 cm = 0.08 m
Area of the tube, A = pi*d^2/4
= pi*0.08^2/4
= 0.005036 m^2
volume flow rate, dV/dt = A*v
v = (dV/dt)/A
= 0.006/0.005036
= 1.19 m/s
Now, use Bernoulli's theorem,
P_baldder + rho*g*h1 + (1/2)*rho*v1^2 = P_atm + rho*g*h2 + (1/2)*rho*v^2
P_baldder + rho*g*h + 0 = P_atm + 0 + (1/2)*rho*v^2
P_baldder - P_atm = (1/2)*rho*v^2 - rho*g*h
= (1/2)*1000*1.19^2 - 1000*9.8*1
= -9092 Pa
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