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The Velocity of water flowing through Proportional to the a pipe is Inverely Square of the radius of the pipe.If the velocity of the water is 30 Cm/s when the radius 2cm.Find the velocity of water When of the pipe is the radius of the Pipe is 4cm.

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Respuesta :

olumideolawoyin

Answer:

7.5cm/s

Step-by-step explanation:

If V = velocity of water and r = radius of the pipe.

V is inversely proportional to the square of r

V = k/r^2, k = Vr^2, where k is the constant of proportionality.

When V = 30vm/s, r = 2

k = 30 × 2^2 = 30 × 4 = 120

therefore,

V = 120/r^2

When r = 4cm, then

V = 120/4^2 = 120/(4×4)

= 7.5cm/s

Velocity of water = 7.5cm/s

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