a solid density D has weight W. If it is complerly immeresed ina liquid of density d then the apparent weight of the solid is ............
The apparent weight of a solid when completely immersed in a liquid can be calculated using the Archimedes' principle, which states that the buoyant force acting on an object is equal to the weight of the fluid displaced by the object.
The weight of the solid when completely immersed in the liquid is given by the formula:
Apparent weight = Weight of the solid - Buoyant force
In this case, the weight of the solid is W, and the buoyant force is equal to the weight of the liquid displaced.
Therefore, the apparent weight of the solid is:
Apparent weight = W - Weight of the liquid displaced
The weight of the liquid displaced can be calculated using the formula:
Weight of the liquid displaced = Volume of the solid × Density of the liquid × Acceleration due to gravity
So, the formula for the apparent weight of the solid becomes:
Apparent weight = W - (Volume of the solid × Density of the liquid × Acceleration due to gravity)
Note: The density of the solid (D) is not directly used in calculating the apparent weight, as it is the property of the solid itself, while the apparent weight depends on the density of the liquid and the volume of the solid.
The apparent weight of an object when it is completely immersed in a fluid can be calculated using Archimedes' principle. According to Archimedes' principle, the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
To find the apparent weight of the solid when it is completely immersed in a liquid, we can use the following formula:
Apparent weight = Weight - Buoyant force
1. Calculate the weight of the solid:
The weight of an object is given by the product of its mass and the acceleration due to gravity.
Weight = Mass × Gravity
2. Calculate the buoyant force:
The buoyant force is equal to the weight of the fluid displaced by the object.
Buoyant force = Density of the fluid × Volume of the solid × Gravity
3. Subtract the buoyant force from the weight to find the apparent weight:
Apparent weight = Weight - Buoyant force
So, the formula for calculating the apparent weight of the solid when it is completely immersed in a liquid is:
Apparent weight = Weight - (Density of the fluid × Volume of the solid × Gravity)
Make sure to use consistent units for mass, density, volume, and acceleration due to gravity in order to obtain accurate results.
If it has density D, then the volume is D=W/V or V=W/D
The weight of the displaced liquid is dW/D
apparent weight= W-Wd/D