A metal washer is a flat, circular piece of metal with a...

A metal washer is a flat, circular piece of metal with a hole through its center, as pictured above. What will be the effect of heating this washer? (A) No change occurs as the effects on the diameters cancel. (B) Diameter 1 will decrease, and diameter 2 will decrease. (C) Diameter 1 will decrease, and diameter 2 will increase. (D) Diameter 1 will increase, and diameter 2 will decrease. (E) Diameter 1 will increase, and diameter 2 will increase.

A metal washer is a flat, circular piece of metal with a hole through its center, as
pictured above. What will be the effect of heating this washer?
(A) No change occurs as the effects on the diameters cancel.
(B) Diameter 1 will decrease, and diameter 2 will decrease.
(C) Diameter 1 will decrease, and diameter 2 will increase.
(D) Diameter 1 will increase, and diameter 2 will decrease.
(E) Diameter 1 will increase, and diameter 2 will increase.

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Key Concepts

Thermal Expansion

Thermal expansion is the tendency of matter to change in shape, area, and volume in response to a change in temperature. When a material is heated, its particles vibrate more vigorously and tend to occupy a greater volume. This phenomenon is fundamental in understanding how dimensions of objects, such as a metal washer, change as temperature increases.

Coefficient of Thermal Expansion

The coefficient of thermal expansion quantifies how much a material expands per unit length for each degree of temperature increase. This coefficient is a material-specific constant and is crucial for predicting changes in dimensions under temperature variations. It explains why both the inner and outer diameters of a metal washer will experience proportional increases when heated.

Uniform Dimensional Expansion

Uniform dimensional expansion refers to the expansion of an object in all directions equally when subjected to a temperature increase. This concept is significant in understanding that for isotropic materials—materials with properties that are identical in all directions—both the hole's diameter and the washer's outer diameter will increase. This ensures that there is no cancellation of effects between different diameters, but rather, a proportional enlargement of all dimensions.

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