1 A steel wire, 150 m long at 10¢XC, has a coefficient of linear expansion of 11 „e 10ƒ{6/C¢X. Give its change in length as the temperature changes from 10„aC to 45„aC.
5.8 cm
To calculate the change in length of the steel wire as the temperature changes, we can use the formula for linear expansion:
ΔL = α * L * ΔT
Where:
ΔL is the change in length,
α is the coefficient of linear expansion,
L is the original length of the wire, and
ΔT is the change in temperature.
Given:
L = 150 m
α = 11 × 10^-6 /°C
ΔT = 45°C - 10°C = 35°C
Now we can substitute these values into the formula:
ΔL = (11 × 10^-6 /°C) * (150 m) * (35°C)
Now we can calculate ΔL:
ΔL = (11 × 10^-6 /°C) * (150 m) * (35°C)
= 5.775 cm
Therefore, the change in length of the steel wire as the temperature changes from 10°C to 45°C is approximately 5.775 cm.
I do not understand your symbols
¢XC
ƒ{6/C¢X
and „aC