Alpha valuer......
Classical Mechanics
Level
3
Circumference of a circular ring is C1 at t1°Celsius and C2 at t2°Celsius.Show that coefficient of linear expansion of the material of the ring.
Give the value of α?
C2-C1/C1t1-C2t2
C1-C2/C2t1-C1t2
C2t1-C1t2/C1-C2
C2-C1-t1(C2t1-C1t2)
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
C1 = Co + (Co)(A)t1 ........(i)
C2 = Co + (Co)(A)t2..........(ii)
Dividing (i) by (ii),
(C1)/(c2) = (1 + A.t1)/(1 + At2) ...........(iii)
From (iii),
A = ( C 1 − C 2 ) / ( C 2 . t 1 − C 1 . t 2 )
Here,
A = Alpha(i.e coefficient of linear expansion),
Co = Circumference of the circular ring at 0 o C