Question

A cylindrical jet of water (density = 1000 kg/mΒ³ ) impinges at the center of a flat, circular plate and spreads radially outwards, as shown in the figure. The plate is resting on a linear spring with a spring constant π’Œ = 𝟏 kN/m. The incoming jet diameter is 𝑫 = 𝟏 cm.

If the spring shows a steady deflection of 1 cm upon impingement of jet, then the velocity of the incoming jet is ____________ m/s (round off to one decimal place).

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Answer :

Correct answer is : 11.28

S = 1 cm, k = 1 kN/m, Diameter of Jet (d) = 1 cm, density (ρ)= 1000 kg/m3

Now,

Using equation i)

kS = ρA(V1y)2

1000 Γ— 0.01 = 1000 Γ— Ο€ 4 Γ— ( 0.01 ) 2 Γ— V 1 y 2

V1y = 11.28 m/s

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