Chapter 10, Problem 14P

### 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 spherical steel ball bearing has a diameter of 2.540 cm at 25.00°C. (a) What is its diameter when its temperature is raised to 100.0°C? (b) What temperature change is required to increase its volume by 1.000%?

(a)

To determine
The diameter (d) at 100.0οC .

Explanation

Given Info: The diameter at 25Î¿C . ( d0 ) is 2.540 cm. The temperature changes from T1=25.0Î¿C to T2=100.0Î¿C Â  Co-efficient of expansion of steel ( Î± ) is 11Ã—10âˆ’6/Î¿C

Formula to calculate the diameter is,

d=d0[1+Î±(T2âˆ’T1)]

Substitute 11Ã—10âˆ’6/Î¿C for Î± , 2.540 cm for d0 , 25

(b)

To determine
The temperature change.

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