Answer :
The speed in the second segment is 1m/s, the speed in the third segment is 16m/s and the volume flow rate through the pipe is 3.14cm³/s.
The diameter of the pipe is firstly one cm and then it wide and to 2 cm after that it again narrows down to 0.5 cm the liquid is flowing through the first segment at the speed of 4m/s.
As per the equation of continuity, the water entering the pipe will be equal to the water going out with the pipe so the flow rate of the water throughout the pipe will be same.
a. The speed in second segment will be given by,
A₁v₁ = A₂v₂
The notations are used for the first and the second segment respectively,
Putting values,
π(1/2)²(4) = π(2/2)²(v)
v = 1m/s.
b. The speed in the third segment will be given by,
A₁v₁ = A₃v₃
The notations are used for first time third segment respectively,
π(1/2)²(4) = π(0.5/2)²(v)
v = 16m/s.
c. The volume flow rate through the pipe is given by,
Flow rate = Av
Where,
A is area and v is the speed,
For first segment,
Flow rate = π(1/2)²(4)
Flow rate = 3.14cm³/s.
So, the flow rate is 3.14cm³/s.
To know more about equation of continuity, visit,
https://brainly.com/question/19566865
#SPJ4
