A pair of eyeglass frames are made of an epoxy plastic (coefficient of linear expansion = 127 10-6 °C-1). At
A pair of eyeglass frames are made of an epoxy plastic (coefficient of linear expansion = 127 10-6 °C-1). At room temperature (20.0°C) the frames have circular lens holes 2.35 cm in radius. To what temperature must the frames be heated if lenses 2.36 cm in radius are to be inserted into them?
°C
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The expansion of material is given by
dL = L * c * dT.
By manipulating this equation and inserting the given values we get:
dT = 0.01/(2.35*1.27x10^-4)
= 1/(2.35*0.0127)
= 33.5.
The answer is: the plastic frame has to be heated to 53.5 degrees C.