a wooden wheel has a diameter of 100cm at 0°c ,an iron tyre whose diameter at 0°c is 99.5 is to be fitted on to the wooden wheel. if the co efficient of linear expansion of iron id 12x10-6 per °c then the temperature to which tyre must be heated to fit it on to the wooden tyre :
210°c
420°c
42°c
84.4°c
Answers
Answered by
1
Explanation:
The diameter of (d) of iron tyre should be equal to ⊥m i.e., 1000 mm
The initial diameter (d) of iron tyre
=1m−6mm
=(1000−6)mm
=994 mm
we have
cubical expressin (
r
ˉ
)=3.6×10
−5
/
o
C
⇒ 3α=3.6×10
−5
⇒ α=1.2×10
−5
/
o
C
where
α→linear expression
Now, we know that
l=l
0
(⊥+αΔθ)
there,
d=d
0
(⊥+αΔθ)
1000=994(⊥+1.2+10
−5
Δθ)
⇒994×1.2×10
−5
Δθ=6
⇒ Δθ=
994×1.2
6
×10
5
=503
o
C
⇒ Δθ≅500
o
C
Similar questions