Question

The coefficient of linear expansion of lead is 29×10^-6. What change in temperature will cause a 5m long lead bar to change in length by 3.0mm?

Answer 1

To find the change in temperature that will cause a lead bar to change in length by 3.0mm, we can use the formula for linear thermal expansion.

Step-by-step explanation:

To calculate the change in length of the lead bar, we can use the formula for linear thermal expansion, AL = a * L * AT, where AL is the change in length, a is the coefficient of linear expansion, L is the original length of the bar, and AT is the change in temperature.

Substituting the given values into the formula, AL = (29x10^-6) * (5m) * (change in temperature), we can solve for the change in temperature:

3.0mm = (29x10^-6) * (5m) * (change in temperature)

Solving for the change in temperature, we get: change in temperature = (3.0mm) / [(29x10^-6) * (5m)]

Calculating this value gives us the change in temperature that will cause the lead bar to change in length by 3.0mm.