An Expanding Rod 01
ID: 1462644 • Letter: A
Question
Most materials will expand when the temperature is increased. The change in size will depend on several factors, including the original size, the amount by which the temperature is changed, and the coefficient of linear expansion. Consider a metal rod that is 1.44 m in length at a temperature of 11.7°C. The coefficient of linear expansion is 3.85×10-5°C-1.What is the change in length of the rod as temperature increases from 11.7°C to 42.5°C.
What is the fractional change in length? (L/L0)
Suppose you have another rod made of the same material. You don't know the original length or the starting temperature, but you do know that the temperature increases by 68.8 C°. What is the fractional change in length? (L/L0)
An Expanding Rod 01 Most materials will expand when the temperature is increased. The change in size will depend on several factors, including the original size, the amount by which the temperature is changed, and the coefficient of linear expansion. Consider a metal rod that is 1.44 m in length at a temperature of 11.7°C. The coefficient of linear expansion is 3.85×10-5°C-1.
What is the change in length of the rod as temperature increases from 11.7°C to 42.5°C.
What is the fractional change in length? (L/L0)
Suppose you have another rod made of the same material. You don't know the original length or the starting temperature, but you do know that the temperature increases by 68.8 C°. What is the fractional change in length? (L/L0)
Most materials will expand when the temperature is increased. The change in size will depend on several factors, including the original size, the amount by which the temperature is changed, and the coefficient of linear expansion.
Explanation / Answer
given
Lo = 1.44 m
T1 = 11.7 C
T2 = 42.5 C
alfa = 3.85*10^-5 C^-1
A)
we know, the change in length ,
delta_L = Lo*alfa*(T2-T1)
= 1.44*3.85*10^-5*(42.5-11.7)
= 1.708*10^-3 m
B) delta_L/Lo = alfa*(T2 - T1)
= 3.85*10^-5*(42.5-11.7)
= 1.1858*10^-3
C) delta_L/Lo = alfa*(T2-T1)
= 3.85*10^-5*68.8
= 2.6488*10^-3