A metal rod 80 cm long increased in length by 0.09 cm when the temperature was raised by 93.6 degrees determine the liner expansitivity of metal

Answer 1

To determine the linear expansivity of the metal, we can use the equation:

ΔL = α * L * ΔT

Where:
ΔL = change in length of the rod
α = linear expansivity of the metal
L = original length of the rod
ΔT = change in temperature

We are given:
ΔL = 0.09 cm
L = 80 cm
ΔT = 93.6 °C

Substituting these values into the equation, we have:

0.09 cm = α * 80 cm * 93.6 °C

Simplifying, we get:

0.09 cm = α * 7488 cm °C

Solving for α, we divide both sides of the equation by 7488 cm °C:

α = 0.09 cm / 7488 cm °C

α ≈ 0.000012 cm/°C

Therefore, the linear expansivity of the metal is approximately 0.000012 cm/°C.