An object of volume 4 metercube is immersed in a liquid of density 1030 kilogramme per meter cubic meter calculate the upthrust of liquid of the object
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To calculate the upthrust (also known as buoyant force) of the liquid on the object, we need to use Archimedes' principle, which states that the buoyant force acting on an object immersed in a fluid is equal to the weight of the fluid displaced by the object.
To find the upthrust, we'll follow these steps:
Step 1: Calculate the weight of the liquid displaced by the object.
The weight of the liquid is given by the product of its density, volume, and acceleration due to gravity (9.8 m/s^2).
Weight of liquid displaced = Density of liquid × Volume of liquid displaced × Acceleration due to gravity
Given:
Density of liquid = 1030 kg/m^3
Volume of liquid displaced = 4 m^3
Acceleration due to gravity = 9.8 m/s^2
Weight of liquid displaced = 1030 kg/m^3 × 4 m^3 × 9.8 m/s^2
Step 2: Calculate the upthrust.
The upthrust is equal to the weight of the liquid displaced.
Upthrust = Weight of liquid displaced
Inserting the calculated value from Step 1:
Upthrust = 1030 kg/m^3 × 4 m^3 × 9.8 m/s^2
Calculating this expression will give us the upthrust in Newtons (N).