00:01
In this question we have a steel sphere of radius 1 .0010 at 22 degrees and this steel sphere must fit through this brass ring.
00:11
But this brass ring at 22 degrees celsius only have 1 .000000 cm of radius so that sphere will not fit.
00:22
Then in order for that sphere to be able to fit, the brass ring must expand and it must expand and it must expand up to the time when it has 1 .0010 centimeters of radius.
00:36
Then to what temperature must we heat that brass ring in order to achieve that radius? to answer this question we begin by noting that the final radius, the radius after the expansion is given by the initial radius plus the change in the radius.
00:58
Then we can calculate what change in radius must happen for that sphere to fit.
01:05
Then, the changing radius that must happen is given by r minus r0, and this is 0 .0010 centimeters.
01:18
So, delta r must be equal to 0 .0010 centimeters.
01:25
Then, to what temperature must we heat breath so that the radius of the ring changes by that amount.
01:34
For this, remember that we can write the change in the radius as the initial radius times the expansion coefficient times the variation in the temperature...