Pertanyaan

ada suhu 20oC, panjang kawat besi adalah 20 m. Berapakah panjang kawat besi tersebut pada suhu 1000C jika koefisien muai panjang besi 1,1times 10-5/oC __ a. 2,0176 m b. 2,00176m c. 200,176 m d. 20,0176m

Solusi

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Varad master · Tutor selama 5 tahun

Jawaban

d. 20,0176m.

Penjelasan

This question is asking about the subject of thermal expansion. Thermal expansion is an increase in the size (length, area, or volume) of a material in response to a change in temperature. It is dictated by the material's coefficient of thermal expansion (CTE). The CTE is a measure of how much a material expands per degree change in temperature.The specific formula relating initial length, temperature change, and CTE for linear thermal expansion is: ΔL = L_initial * α * ΔT, with ΔL being the change in object’s length, L_initial being initial length, α being the linear Coefficient of thermal expansion of the material, gonna ΔT the change in temperature.In this question, the initial length of the iron wire L_initial is 20m, the temperature increase ΔT is 100°C - 20°C = 80°C, and the linear Coefficient of thermal expansion of the metal α is given as 1.1x10^-5 °C^-1. Using the formula, we can compute ΔL, and to find the final length of the wire we need to add this ΔL to the initial L_initial (= 20 m) to get L_initial + ΔL.Accordingly, we can substitute these values into the formula to find the formula-expressed in decimal form exactly matching to a choice(Using ':' as the symbol of the subscript to identify when formulating).