Answer :
Answer:
The speed of water flow inside the pipe at point - 2 = 34.67 m / sec
Explanation:
Given data
Diameter at point - 1 = 3.2 cm
Velocity at point - 1 = 1.1 m / sec = 110 cm / sec
Diameter at point - 2 = 0.57 cm
Velocity at point - 2 = ??
We know that from the continuity equation the rate of flow is constant inside a pipe between two points.
Thus
⇒ [tex]A_{1}[/tex] × [tex]V_{1}[/tex] = [tex]A_{2}[/tex] × [tex]V_{2}[/tex]
⇒ [tex]\frac{\pi }{4}[/tex] × [tex]d_{1} ^{2}[/tex] × [tex]V_{1}[/tex] =
⇒ [tex]d_{1} ^{2}[/tex] × [tex]V_{1}[/tex] = [tex]d_{2} ^{2}[/tex] × [tex]V_{2}[/tex]
⇒ [tex](3.2)^{2}[/tex] × 110 = [tex](0.57)^{2}[/tex] × [tex]V_{2}[/tex]
⇒ [tex]V_{2}[/tex] = 3467 cm / sec
⇒ [tex]V_{2}[/tex] = 34.67 m / sec
Thus the speed of water flow inside the pipe at point - 2 = 34.67 m / sec