Question

A rectangular plate has an area of 53 cm2 . if the temperature increases by 2 ◦c, calculate the increase in the area. use 6 × 10−6 ( ◦c)−1 as an average coefficient of linear expansion, and ignore terms of second order. answer in units of cm2

Answer 1

The increase in the area of a rectangular plate with an original area of 53 cm², after a temperature increase of 2°C, is approximately 0.001272 cm² using the coefficient of linear expansion 6 × 10⁻⁶ (°C)⁻¹.

Step-by-step explanation:

The subject of the question pertains to thermal expansion in two dimensions, a concept in physics that describes how the area of an object changes with temperature.

Using the given formula ΔA = 2αΔTA, where ΔA is the change in area, α is the coefficient of linear expansion, and ΔT is the change in temperature, we can calculate the increase in the area of a rectangular plate when its temperature increases by 2°C.

The given area of the rectangular plate is 53 cm² and the average coefficient of linear expansion is 6 × 10⁻⁶ (°C)⁻¹. Therefore, ΔA = 2 × (6 × 10⁻⁶) × 53 × 2 = 1.272 × 10⁻² cm². After rounding, the increase in the area is approximately 0.001272 cm² or 1.272 × 10⁻³ cm².