Question

How is the buoyant force dependent on the temperature (T) of a fluid?
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Answer 1

Answer:

Buoyancy is the tendency or the ability of an object to float on a fluid.

I am assuming that the increase in temperature is of the fluid which is acting a buoyancy force on the object.

The object is floating on the fluid basically because of differential density (object has less density than the fluid). When the temperature of fluid is increased, convection currents will be developed within the fluid, wherein the hotter fluid rises and cooler fluid settles at the bottom. This is also due to the fact that increase in temperature of a fluid decreases its density. So at the top surface, hot fluid is in contact with the object. Now due to increase in temperature, this differential density has decreased.

This means that now the buoyancy forces will be less.

Answer 2

Explanation:

since buoyant force is dependent on difference in densities.

So on increasing temperature the density decrease of liquid decrease so its buoyant force also decrease and vice versa.

Also formula for buoyant force is :

density of liquid× volume of submerged part of solid× acceleration due to gravity

so decrease in density of liquid causes increase in upthrust and vice versa .