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If a fluid jet discharging from a 50 mm diameter orifice has a 40 mm diameter at its vena contracta, then its coefficient of contraction willbe: 
  • a)
    0.32
  • b)
    0.64
  • c)
    0.96
  • d)
    1.64
Correct answer is option 'B'. Can you explain this answer?
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If a fluid jet discharging from a 50 mm diameter orifice has a 40 mm d...
Ans. (b)
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Most Upvoted Answer
If a fluid jet discharging from a 50 mm diameter orifice has a 40 mm d...
As Cc=Area at vena contracts/Area at orific
Cc=Ao/A1
Cc=(.4)^2/(.5)^2
Cc=.64
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Community Answer
If a fluid jet discharging from a 50 mm diameter orifice has a 40 mm d...
Explanation:

What is the coefficient of contraction?
The coefficient of contraction (C_c) is a dimensionless parameter that represents the reduction in cross-sectional area of a fluid jet as it passes through a contraction. It is defined as the ratio of the area at the vena contracta to the area of the orifice.

Given values:
Diameter of the orifice (D1) = 50 mm
Diameter at vena contracta (D2) = 40 mm

Calculating the areas:
Area of the orifice (A1) = π * (D1/2)^2 = π * (50/2)^2 = 1963.5 mm^2
Area at vena contracta (A2) = π * (D2/2)^2 = π * (40/2)^2 = 1256.6 mm^2

Calculating the coefficient of contraction:
Coefficient of contraction (C_c) = A2 / A1 = 1256.6 / 1963.5 = 0.639

Approximating the answer:
The given options are:
a) 0.32
b) 0.64
c) 0.96
d) 1.64

Since the coefficient of contraction is approximately 0.639, the closest option is 0.64 (option B).

Conclusion:
The coefficient of contraction for the fluid jet discharging from a 50 mm diameter orifice with a 40 mm diameter at its vena contracta is approximately 0.64.
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If a fluid jet discharging from a 50 mm diameter orifice has a 40 mm diameter at its vena contracta, then its coefficient of contraction willbe:a)0.32b)0.64c)0.96d)1.64Correct answer is option 'B'. Can you explain this answer?
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