00:01
Hello everyone in this question we will learn about some basic concepts of the thermal expansion.
00:05
The question is the brass road is 220 centimeters long, so the length is 220 centimeters and the diameter is 1 .95 centimeters.
00:15
We will convert it into meters, so that will be 2 .2 meters and 0195 meter.
00:24
Now we have to find what force must be applied to each end of the road to prevent it from contract.
00:31
The initial and the final temperatures are given so first of all we'll determine the radius so radius will be equal to 0195 divided by 2 right and that is equals to 0 090975 meter now the temperature difference delta d is 120 127 minus 16.
01:15
Which is equal to 120 .5 or sorry 1110 .5 right so this is the temperature difference now we can use the expression that delta l is equal to l alpha delta t to determine the elongation so this will be equation one and equation two we know that 2x to stop it from contracting we have to apply the force f in such a way that force is equal to young's modulars multiplied by a delta l divided by l.
02:07
So from equation 1 and 2, we can say that the force will be equal to ea multiplied by delta which is l alpha delta t divided by l.
02:21
We can simplify this expression.
02:24
So area is pi r squared alpha delta t.
02:30
Now let us substitute the values...