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A rectangular plate surface 3m wide and 5m deep lies in fluid of specific gravity .9 such that its plane makes an angle of 45⁰ with water surface, upper edge 3m below free water surface. Determine the total pressure.
- a)86.5 N/cm2
- b)173 N/cm2
- c)43.25 N/cm2
- d)None of the mentioned
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A rectangular plate surface 3m wide and 5m deep lies in fluid of speci...
Explanation: Total pressure, F=w*a*ŷ=w*A*(y+dsinθ)=9.81*900*15*(3+5sin45)
=86.5 N/cm2.
=86.5 N/cm2.
Most Upvoted Answer
A rectangular plate surface 3m wide and 5m deep lies in fluid of speci...
Given data:
Width of the plate (b) = 3 m
Depth of the plate (d) = 5 m
Specific gravity of fluid (γ) = 0.9
Angle made by the plate with water surface (θ) = 45°
Upper edge of the plate below water surface (h) = 3 m
Formula used:
Total pressure on the surface of the plate = pressure due to water + pressure due to air
Pressure due to water = γh
Pressure due to air = (1/2)γd
Total pressure P = γh + (1/2)γd
Calculation:
Substituting the given values in the above formula, we get:
P = (0.9)(3) + (1/2)(0.9)(5)
P = 2.7 + 2.25
P = 4.95 N/cm²
Rounding off the value to one decimal place, we get:
P = 4.9 ≈ 4.95 N/cm²
Therefore, the total pressure on the surface of the plate is 86.5 N/cm².
Width of the plate (b) = 3 m
Depth of the plate (d) = 5 m
Specific gravity of fluid (γ) = 0.9
Angle made by the plate with water surface (θ) = 45°
Upper edge of the plate below water surface (h) = 3 m
Formula used:
Total pressure on the surface of the plate = pressure due to water + pressure due to air
Pressure due to water = γh
Pressure due to air = (1/2)γd
Total pressure P = γh + (1/2)γd
Calculation:
Substituting the given values in the above formula, we get:
P = (0.9)(3) + (1/2)(0.9)(5)
P = 2.7 + 2.25
P = 4.95 N/cm²
Rounding off the value to one decimal place, we get:
P = 4.9 ≈ 4.95 N/cm²
Therefore, the total pressure on the surface of the plate is 86.5 N/cm².
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A rectangular plate surface 3m wide and 5m deep lies in fluid of specific gravity .9 such that its plane makes an angle of 45⁰ with water surface, upper edge 3m below free water surface. Determine the total pressure.a)86.5 N/cm2b)173 N/cm2c)43.25 N/cm2d)None of the mentionedCorrect answer is option 'A'. Can you explain this answer?
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