Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 36AP

In physics, it is important to use mathematical approximations. (a) Demonstrate that for small angles (< 20°)

tan α sin α α = π α 180 °

where α is in radians and α’ is in degrees. (b) Use a calculator to find the Largest angle for which tan α may be approximated by α with an error less than 10.0%.

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In physics, it is important to use mathematical approximations.(a) Demonstrate that for small angles (< 20°)                        tan a ≈ sin a ≈ a =  (πa')/(180°)where a is in radians and a' is in degrees. (b) Use a calculator to find the largest angle for which tan a may be approximated by a with an error less than 10.0%.
Consider the three displacement vectors  = (−2î − 3ĵ) m,  = (4î − 5ĵ) m, and = (−6î + 5ĵ) m.  Use the component method to determine the following. (Take the +x direction to be to the right. WHY IS THE ANGLE INCORECT?  NOT IN THE CORRECT QUADRANT?

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Physics for Scientists and Engineers

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