Water is flowing at 6 m/s through a 5.3 cm pipe and is connected to a 2.3 cm pip
ID: 1373601 • Letter: W
Question
Water is flowing at 6 m/s through a 5.3 cm pipe and is connected to a 2.3 cm pipe. What is the velocity in the smaller pipe? Small Pipe Velocity = [Num]m/s
What must be the diameter of a hose if it is to deliver 5 liters of oil in 1.1 minutes with an exit velocity of 5 m/s? Pipe Diameter = [Num] [Units]
Water is flowing at 6 m/s through a 5.3 cm pipe and is connected to a 2.3 cm pipe. What is the velocity in the smaller pipe? Small Pipe Velocity = [Num]m/s
What must be the diameter of a hose if it is to deliver 5 liters of oil in 1.1 minutes with an exit velocity of 5 m/s? Pipe Diameter = [Num] [Units]
Explanation / Answer
a)
A1 = pi*r1^2
A2 = pi*r2^2
V1 = 6 m/s
v2 = ?
Apply continuty equation
A1*V1 = A2*V2
V2 = V1*(A1/A2)
= 6.2*(pi*r1^2/pi*r2^2)
= 6.2*(5.3/2.3)^2
= 32.92 m/s
b)
Voume of water deliverd = volume flow rate*time
V = A*v*t
V = (pi*d^2/4)*v*t
d^2 = 4*V/(pi*v*t)
d = sqrt(4*V/(pi*v*t))
= sqrt(4*5*10^-3/(pi*5*1.1*60))
= 4.39*10^-3 m or 4.39 mm
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