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The specific weight W of ocean water changes according to the equation W = WO + C√h with depth h from the top surface. WO = Specific weight of ocean water at free surface and C is a constant. The pressure as a function of depth h is given by
  • a)
    Woh
  • b)
    Woh + (5⁄2)Ch
  • c)
    Woh + (2⁄3)Ch3⁄2
  • d)
    Woh − (2⁄3)Ch2⁄3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The specific weight W of ocean water changes according to the equatio...
Iven ρg = WO + C(h) 1/2
we know dp dh = ρg
⇒ dp = (WO + C(h) 1/2) dh
Integrating on both sides p = WOh + Ch3/2 /3× 2 + C2
p = WOh + 2/3C(h)3/2 + C2
Taking gauge pressure at top surface equal to zero
C2 = 0
hence, p = WOh + 2/3C(h)3/
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Most Upvoted Answer
The specific weight W of ocean water changes according to the equatio...
Pressure Calculation in Ocean Water:
Pressure in ocean water can be calculated using the specific weight equation provided as W = WO + C√h. Let's break down the equation to determine the pressure as a function of depth h.

Given:
- Specific weight at free surface: WO
- Constant: C
- Depth from the top surface: h

Pressure Calculation:
- The pressure at a certain depth in ocean water can be calculated using the formula for specific weight: W = WO + C√h.
- To find the pressure as a function of depth h, we need to consider the specific weight equation and relate it to pressure.

Pressure Equation:
- The pressure at depth h can be calculated as follows:
- W = WO + C√h
- Pressure = Specific weight x Depth
- Pressure = (WO + C√h) x h
- Pressure = WOh + Ch√h

Final Answer:
- Therefore, the pressure as a function of depth h is given by:
- Woh + Ch√h

Correct Option:
- The correct option for the pressure as a function of depth h is:
- Woh + (2/3)Ch√h
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The specific weight W of ocean water changes according to the equation W = WO + C√h with depth h from the top surface. WO = Specific weight of ocean water at free surface and C is a constant. The pressure as a function of depth h is given bya) Wohb) Woh + (5⁄2)Chc) Woh + (2⁄3)Ch3⁄2d) Woh − (2⁄3)Ch2⁄3Correct answer is option 'C'. Can you explain this answer?
Question Description
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