Question
A cylindrical jet of water (density = 1000 kg/mยณ ) 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 ๐ = ๐ kN/m. The incoming jet diameter is ๐ซ = ๐ 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).
Answer :
Correct answer is : 11.28
S = 1 cm, k = 1 kN/m, Diameter of Jet (d) = 1 cm, density (ฯ)= 1000 kg/m3
Now,
Using equation i)
kS = ฯA(V1y)2
V1y = 11.28 m/s
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