Wednesday

March 4, 2015

March 4, 2015

Posted by **Steve** on Friday, March 25, 2011 at 10:47pm.

A steel ball of diameter Lb = 4.196 cm is placed on a hole of diameter Lh = 4.042 cm on an aluminium plate. The initial temperature is 14 ¢XC. What would be the minimum temperature so that the ball will fit through the hole if both are heated? The linear expansion coefficients for steel and aluminium are £\steel = 1.100 ¡Ñ 10¡V5 K¡V1 and £\alu = 2.200 ¡Ñ 10¡V5 K¡V1, respectively. ans 3610 degrees celcius

- Physics -
**drwls**, Friday, March 25, 2011 at 11:58pmFirst let's use symbols people can read.

a1 = 1.1*10^-5 C^-1 (thermal expansion cefficient of steel)

a2 = 2.2*10^-5 C^-1 (thermal expnsion cefficient of aluminum)

The hole and the ball will both expand in proportion to the linear expansion coefficient and the temperature rise, dT. The diameters will be equal when

4.042(1 + a2*dT) = 4.196(1 + a1*dT)

0.154 = (8.892 - 4.616)*10^-5*dT

= 4.276*10^-5*dT

dT = 3602 C

Add that to the initial temperature of 14 C and you get 3616 C

**Answer this Question**

**Related Questions**

Physics - A ball and a thin plate are made from different materials and have the...

physics - a cylinder of diameter 1cm at 30degree celcius is to slid into a hole ...

Physics 4B - To make a secure fit, rivets that are larger than the rivet hole ...

science - a cylinder of diameter 1cm at 30 degrees celcius is to be slid into a ...

physics - A hole in an aluminum plate has a diameter of 1.465 cm at 22.80° C. (a...

physics - Ali needs to fix plug inside the wall, he then buy a steel plug that ...

physics - Assume that if the shear stress in steel exceeds about 4.00 108 N/m2, ...

Physics Please Answer - 1. to make a secure fit, rivets that are larger than the...

PHYSICS - 1. to make a secure fit, rivets that are larger than the rivet hole ...

Physics - A circular hole in an aluminum plate is 2.725 cm in diameter at 0.000 ...