Chapter 10, Problem 13P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A pair of eyeglass frames are made of epoxy plastic (coefficient of linear expansion = 1.30 × 10−4 (°C)−1). At room temperature (20.0°C), the frames have circular lens holes 2.20 cm in radius. To what temperature must the frames be heated if lenses 2.21 cm in radius are to be inserted into them?

To determine
The temperature.

Explanation

Given Info: Radius of circular lens changes from r0=2.20â€‰cm to r=2.21â€‰cm . The room temperature is TR=20.0Î¿C . Co-efficient of expansion of epoxy plastic ( Î± ) is 1.30Ã—10âˆ’4/Î¿C

Formula to calculate the temperature is,

T=TR+(Î”rÎ±r0) Â Â Â Â Â  (I)

• Î”r is the change in radius.

Î”r=râˆ’r0

Substitute râˆ’r0 for Î”r in Equation (I).

T=TR+(râˆ’r0Î±r0)

Substitute 1

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