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The water pressure per metre length on a vertical masonry wall of a dam will be
where, w = unit weight of water
- a)w H/2
- b)wH
- c)wH2/4
- d)wH2/2
Correct answer is option 'D'. Can you explain this answer?
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The water pressure per metre length on a vertical masonry wall of a da...
**Explanation:**
In order to understand why the correct answer is option D, let's break down the different factors involved in calculating the water pressure on a vertical masonry wall of a dam.
**1. Water Pressure:**
The pressure exerted by a fluid (in this case, water) on a vertical surface is given by the equation:
*Pressure = Density x Acceleration due to gravity x Height*
Since density is the mass per unit volume and weight is the force exerted by an object due to gravity, we can rewrite the equation as:
*Pressure = Unit Weight of Water x Height*
**2. Unit Weight of Water:**
The unit weight of water is the weight per unit volume of water. It is given by the equation:
*Unit Weight of Water = Weight of Water / Volume of Water*
The weight of water can be calculated using the equation:
*Weight of Water = Density x Volume of Water*
Since the density of water is a constant, the unit weight of water can be expressed as:
*Unit Weight of Water = Density x Height*
**3. Calculation of Water Pressure on a Vertical Wall:**
Now, let's consider a vertical masonry wall of a dam with a height H. The water pressure on this wall can be calculated as follows:
*Water Pressure = Unit Weight of Water x Height*
Substituting the value of the unit weight of water, we get:
*Water Pressure = Density x Height x Height*
Simplifying the equation, we have:
*Water Pressure = wH^2*
Therefore, the correct answer is option D: *Water Pressure = wH^2/2*
In order to understand why the correct answer is option D, let's break down the different factors involved in calculating the water pressure on a vertical masonry wall of a dam.
**1. Water Pressure:**
The pressure exerted by a fluid (in this case, water) on a vertical surface is given by the equation:
*Pressure = Density x Acceleration due to gravity x Height*
Since density is the mass per unit volume and weight is the force exerted by an object due to gravity, we can rewrite the equation as:
*Pressure = Unit Weight of Water x Height*
**2. Unit Weight of Water:**
The unit weight of water is the weight per unit volume of water. It is given by the equation:
*Unit Weight of Water = Weight of Water / Volume of Water*
The weight of water can be calculated using the equation:
*Weight of Water = Density x Volume of Water*
Since the density of water is a constant, the unit weight of water can be expressed as:
*Unit Weight of Water = Density x Height*
**3. Calculation of Water Pressure on a Vertical Wall:**
Now, let's consider a vertical masonry wall of a dam with a height H. The water pressure on this wall can be calculated as follows:
*Water Pressure = Unit Weight of Water x Height*
Substituting the value of the unit weight of water, we get:
*Water Pressure = Density x Height x Height*
Simplifying the equation, we have:
*Water Pressure = wH^2*
Therefore, the correct answer is option D: *Water Pressure = wH^2/2*
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The water pressure per metre length on a vertical masonry wall of a dam will bewhere, w = unit weight of watera)w H/2b)wHc)wH2/4d)wH2/2Correct answer is option 'D'. Can you explain this answer?
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