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A jet of water discharging from a 40 mm diameter orifice has a diameter of 32 mm at its vena contracta. The coefficient of contraction is
  • a)
    0.46
  • b)
    0.64
  • c)
    0.78
  • d)
    0.87
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A jet of water discharging from a 40 mm diameter orifice has a diamete...
Cc=area of vena contracta/are of orifice
Area of jet at venacontracta=(π÷4)×d^2
same as area orifice
calculate the ratio =(π÷4)×32^2/(π÷4)×40^2
ans=0.64
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Community Answer
A jet of water discharging from a 40 mm diameter orifice has a diamete...
Solution:

Given data:
Diameter of orifice, D1 = 40 mm
Diameter of vena contracta, D2 = 32 mm

Coefficient of contraction is given by the ratio of the area of the vena contracta to the area of the orifice.

Mathematically,
Coefficient of contraction, C_c = A_2 / A_1

Where,
A_1 = π/4 D_1^2 (Area of orifice)
A_2 = π/4 D_2^2 (Area of vena contracta)

Substituting the given values in the above equation, we get
C_c = (π/4) (32/40)^2
C_c = 0.64

Therefore, the coefficient of contraction is 0.64, which is option B.

Hence, the correct answer is option B.
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A jet of water discharging from a 40 mm diameter orifice has a diameter of 32 mm at its vena contracta. The coefficient of contraction isa)0.46b)0.64c)0.78d)0.87Correct answer is option 'B'. Can you explain this answer?
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