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A constriction in a pipe reduces its diameter from 4.0 cm to 2.0 cm. where the pipe is narrow the water speed is 8.0 m/s. where it is wide the water speed is:_______
a. 2.0 m/s
b. 4.0 m/s
c. 8.0 m/s
d. 16 m/s
e. 32 m/s

Sagot :

Option a) 2.0m/s

So, where it is wide, speed is 2 m/s

Calculation

According to equation of continuity

A1V1 =A2V2

A1= [tex]\pi[/tex][tex](2*10^{-2}) ^{2}[/tex]

A2 = [tex]\pi (1*10^{-2}) ^{2}[/tex]

V2 = 8m/s

solving by the equation, we have

v1 = 2 m/s

Equation of continuity

An equation that describes the movement of a certain amount is known as a continuity equation or transport equation. It can be generalized to apply to any substantial quantity, but it is especially straightforward and effective when applied to conserved quantities.

Since mass, energy, momentum, electric charge, and other natural quantities all remain constant under the proper circumstances, continuity equations can be used to explain a wide range of physical events.

To know more about the equation of continuity visit:

https://brainly.com/question/15635105

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