An object of volume 4m³ is totally immersed in a liquid of density 1030kg/m³. Calculate the up thrust of liquid on the object
weight of fluid (looks like salty water) displaced = force up (Archimedes Principle)
mass of fluid = 4 * 1030 = 4120 kg
so weight of fluid displaced = 4120 * g
on earth g is about 9.81 m/s^2
so 4120 * 9.81 = 40,417 Newtons up force
To calculate the upthrust of liquid on the object, you can use Archimedes' principle, which states that the upthrust (or buoyant force) acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
1. Start by calculating the weight of the fluid displaced by the object. Since the volume of the object is given as 4m³ and the density of the liquid is 1030kg/m³, we can calculate the mass of the fluid displaced using the formula:
mass = density x volume
mass = 1030 kg/m³ x 4 m³
mass = 4120 kg
2. Next, calculate the weight of the fluid displaced by multiplying the mass by the acceleration due to gravity (approximately 9.8 m/s²):
weight = mass x gravity
weight = 4120 kg x 9.8 m/s²
weight = 40376 N
3. The upthrust of the liquid on the object is equal to the weight of the fluid displaced, so the upthrust is 40376 N.