A rod of initial lenght 2m at a temperature of 25oC is heated to 80oC. Calculate the increase in length of the rod if its linear expansivity is 4.0 x 10-3K-...
Question 1 Report
A rod of initial lenght 2m at a temperature of 25oC is heated to 80oC. Calculate the increase in length of the rod if its linear expansivity is 4.0 x 10-3K-1
Answer Details
The increase in length of the rod can be calculated using the formula:
ΔL = αLΔT
where:
ΔL = change in length
α = linear expansivity coefficient
L = initial length
ΔT = change in temperature
Substituting the given values, we have:
ΔL = (4.0 x 10^-3 K^-1) x (2m) x (80°C - 25°C)
ΔL = 0.44m
Therefore, the increase in length of the rod is 0.44m.
Note: When a material is heated, its length increases due to the expansion of its particles. The linear expansivity coefficient (α) represents the fractional change in length per unit change in temperature.
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