Question

An iron tyre is to be fitted on a wooden wheel 1m diameter. The tyre is 6mm smaller than wheel. The minimum temperature raised of tyre to fit the tyre in wheel is: (cubical expansivity of iron=3.6*10^-5/degree Celsius)
a)167 degree Celsius
b)70 degree Celsius
c)85 degree Celsius
d)90 degree Celsius

I calculated and obtained 50 degrees but unfortunately its not in the list of options..

Answer 1

is it 167

Answer 2

No idea.. How do you get it?

Answer 3

sorry i made a mistake as 3.6*10^-5/degree is cubical expansion
pls neglect my ans

Answer 4

ur ans may be correct or is it 500

Answer 5

use (l2-l1)/l1 = 3.6/3*10^-5 t

Answer 6

Oops! i listed the wrong options.. the correct options are:
a)167
b)334
c)500
d)1000

Answer 7

then 500 is the answer

Answer 8

How do you get that " (l2-l1)/l1" ?

Answer 9

85

Answer 10

wrong options

Answer 11

answer must be around 250 or 500

Answer 12

@ujjwal bro
i am confused whether to include the expansion on both sides or to consider expansion of one side only.if we conside both side answer is 500 and if we consider of one side then answer is 250

Answer 13

find the coefficient of area expansion using 2/3 of cubical exp..find the diff between area of hole and the initial iron tyre.divide are by coeff of area exp.

Answer 14

by "area of hole" i mean the wooden wheel..

Answer 15

Thanks @quarkine and @matricked

Answer 16

i had to leave in between