Question

The reading of a pressure metre attached with closed water pipe is 3.5 into 10 to the power 5 newton per metre square on opening the welfare of the pipe the reading of pressure metre reduces to 3.0 into 10 to the power 5 newton per metre square calculate the speed of water flowing in the pipe

Answer 1

The speed of the water flowing in the pipe is 10 m/s

Explanation:

Using Bernoulli's equation:

P₁/ρ + V₁²/2 = P₂/ρ + V₂²/2

Given data:

P₁ = initial pressure = 3.5 x 10⁵

V₁ = initial velocity = 0

P₂ = final pressure = 3 x 10⁵

V₂ = final velocity

ρ = density of water = 1000 Kg/m^3

Hence putting these value in eq we get,

3.5 x 10⁵/1000  + 0 = 3 x 10⁵/1000  + V₂²/2

V₂²/2 = 350 - 300 = 50

V₂² = 100

V₂ = 10 m/s.

Thus the speed of the water flowing in the pipe is 10 m/s.

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