Question

A steel sphere is to be passed through a circular brass ring . At 20'C , the outer diameter of the sphere is25 cm and the inner diameter of the ring is 24.9cm

Answer 1

Explanation:

circular ring is 

T1=20∘CT1=20∘C

.

The initial outer diameter of the sphere is 

D1=25cmD1=25cm

.

The initial inner diameter of the ring is 

d1=24.9cmd1=24.9cm

.

The coefficient of linear expansion of steel is 

αs=12×10−5/∘Cαs=12×10−5/∘C

.

The coefficient of linear expansion of brass is 

αb=20×10−6/∘Cαb=20×10−6/∘C

D2=D1[1+αs(T2−T1)]D2= 5