Vinita went to her grandfather’s village for vacation. She saw a bullock cart got struck in wet mud and the driver was not able to push it out by himself. Vinita ran to his help and together they pushed it out, but the iron rim of the wheel came out. They tried to put it on the wheel but it was smaller than diameter of wheel. Suddenly she collected some wood and set them on fire and heated the rim and it slipped on the wheel. a) What nature is shown by Vinita?
b) Name the property of solid used here?
c) To what temperature had Vinita heated the ring so as to fit the rim of the wheel if the
diameter of the rim and ring were 6.243 m and 6.231 m respectively at 270C? [Coefficient
of linear expansion of iron = 1.20 x 10⁻⁵ K⁻¹"
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Excellent Question.
The Answer is :
a] She has presence of mind and a helpful nature.
b]Property of solids which she used is " Linear Expansion of solids"
c]L1=6.231m
L2=6.242m
T1=27°C
formula to be used
:Linear Expansion α=(L2-L2)/L1(T2-T1)
T2=(6.243-6.231)/6.243x1.2 x 10⁻⁵)+ 27
=0.012/(7.4916x 10⁻⁵) + 27
=187 °C
∴The temperature Vinita had heated the ring so as to fit the rim of the wheel is 187 °C
The Answer is :
a] She has presence of mind and a helpful nature.
b]Property of solids which she used is " Linear Expansion of solids"
c]L1=6.231m
L2=6.242m
T1=27°C
formula to be used
:Linear Expansion α=(L2-L2)/L1(T2-T1)
T2=(6.243-6.231)/6.243x1.2 x 10⁻⁵)+ 27
=0.012/(7.4916x 10⁻⁵) + 27
=187 °C
∴The temperature Vinita had heated the ring so as to fit the rim of the wheel is 187 °C
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