29. Materials expand when heated. Consider a metal rod of length Lo at temperature To. If the temperature is changed by an amount AT, then the rod's length approximately changes by AL = «LQAT, where a is the thermal expansion coefficient and AT is not an extreme temperature change. For steel, a = 1.24 x 10-5°C-1. (a) A steel rod has length Lo = 40 cm at To = 40°C. Find its length at T = 90°C. (b) Find its length at T = 50°C if its length at To = 100°C is 65 cm. (c) Express length L as a function of T if Lo = 65 cm at To = 100°C.
29. Materials expand when heated. Consider a metal rod of length Lo at temperature To. If the temperature is changed by an amount AT, then the rod's length approximately changes by AL = «LQAT, where a is the thermal expansion coefficient and AT is not an extreme temperature change. For steel, a = 1.24 x 10-5°C-1. (a) A steel rod has length Lo = 40 cm at To = 40°C. Find its length at T = 90°C. (b) Find its length at T = 50°C if its length at To = 100°C is 65 cm. (c) Express length L as a function of T if Lo = 65 cm at To = 100°C.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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