Physics, asked by nafree, 7 months ago

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%?

Answers

Answered by SCIENTIFIGENIOUS
5

Answer:

(a) The diameter is a linear dimension, so we consider the linear expansion of steel:

d=do [1+α(ΔT)]

=(2.540cm)[1+(11×10^-6(°C)^-1 (100.00°C−25.00°C)]

=2.542cm

(b) If the volume increases by 1%, then ΔV=(1.000×10^−2)Vo

. Then, using ΔV=ββVo (ΔT)

, whereβ=3α is the volume expansion coefficient, we find ΔT= (∆V/Vo)/B

=( 1.000 X 10^-2)/3[11.0×10^-6(°C)^-1]

=3 ×10² C

Explanation:

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