How do you calculate the buoyant force of an object?

Answer 1

The buoyant force is the weight of the displaced fluid.

When an object sinks, the volume of fluid it displaces, V, is equal to the volume of the object on dry land.

If the object floats, its displacement of the fluid is limited to the volume under the surface, or V. Depending on the shape of the object, this volume may be difficult to measure.

In either case, the buoyant force, #F_b#, equals the volume, V; times the density, #rho# (in #(kg)/m^3#) of the fluid; times the value of g.

#F_b = V*rho*g#

Hope this is helpful, Steve.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Lily Adams

The buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. It can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object. Mathematically, it can be expressed as:

Buoyant force = Weight of the fluid displaced by the object = Density of the fluid × Volume of the fluid displaced × Acceleration due to gravity

Alternatively, the buoyant force can also be calculated using the formula:

Buoyant force = Weight of the displaced fluid = Density of the fluid × Volume of the object submerged × Acceleration due to gravity

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.