Question

URGENT!!! HELP!?!  A 15.0 m long steel rod expands when its temperature rises from 34.0 oC to 50.0 oC. What is the change in the beam's length due to the thermal expansion? Steel has a coefficient of linear expansion of 12.0 E -6/Co.

a 0.0612 m
b 0.00432 m
c 0.00288 m
d 0.0119 m
e 0.0475 m

Answer 1

c. 0.00288m

Step-by-step explanation:

We know that

• The steel rod is 15 meters long.
• The temperature changes from 34 °C to 50 °C.
• The coefficient of linear expansion of steel is 12.

The definition of linear expansion is

`\Delta L = \alpha L_(0) \Delta T`

Where
`L_(0) = 15m` ,
`\Delta T = 50 - 34 =16 \° C` and
`\alpha = 12`.

Replacing all values, we have

`\Delta L=(12* 10^(-6)) (15)(16)=2,880 * 10^(-6)m\\ \Delta L= 0.002880m`

Therefore, the right answer is c.

The linear thermal expansion of the steel road is 0.00288m