Chapter 13, Problem 17Q

To determine

To Explain: The effect of the buoyant force on an aluminum sphere if the temperature is increased.

Answer to Problem 17Q

The buoyant force of the aluminum is decreased.

Explanation of Solution

Introduction:

The buoyant force is the pressure exerted by the fluid in which the object is immersed. The buoyancy force is always pointed upwards because the pressure increases with depth. The effect of the buoyant force is reduced or smaller. This is explained in detail in the explanation.

The buoyant force is the weight of the water displaced by the aluminum sphere that is the product of the volume of the sphere and the density of the water. As the water is heated, the volume of the aluminum sphere increased, and the density of the water is decreased. Because of the increase of the temperature of the water, the coefficient of the volume expansion of water becomes three times larger than the coefficient of the aluminum and the small decrease in the density of the water is larger than the small increase in the volume of the aluminum. Because of this the density of the water decreases. Hence, the buoyant force of the aluminum is the decreased or smaller.

Conclusion:

Buoyant force is based on the phenomenon of density. Generally, density is the ratio of mass upon volume.