A horizontal jet of water with a velocity of 10 m/s and cross-sectional area of 10 mm2 strikes a flat plate held normal to the flow direction. The density of water is 1000 kg/m3. The total force on the plate due to the jets is:

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JSSC JE Re-Exam 31 Oct 2022 Official Paper-I
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  1. 100 N
  2. 0.1 N
  3. 10 N
  4. 1 N

Answer (Detailed Solution Below)

Option 4 : 1 N
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Detailed Solution

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Concept:

Force Exerted by Jet on a Flat Plate Normal to Jet:

Force on the plate due to impact, F = ρa(v)2

where, ρ = density, a = Area of jet, v = velocity of jet, u = Plate velocity

Given: v = 10 m/s, a = 10 mm2 = 10 × 10-6 m2 , ρ = 1000 kg/m3

F = ρa(v)2

F = 1000 × 10 × 10-6 × 100

F = 1 N

Additional Information

Force Exerted by Jet on Moving Flat Plate Normal to Jet:

  • Force on the plate due to impact, F = ρa(v - u)2
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