Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
9th Edition
ISBN: 9781305372337
Author: Raymond A. Serway | John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 68AP

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%.
Evaluate the cross product A×B if A = 39, B = 59 and θ = 43°. Evaluate the cross product C×D if C = 23 and D = 83. The angle between them is a right angle.

Chapter 1 Solutions

Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University

Ch. 1 - Prob. 8OQCh. 1 - Prob. 9OQCh. 1 - Prob. 10OQCh. 1 - Prob. 1CQCh. 1 - Prob. 2CQCh. 1 - Prob. 3CQCh. 1 - Prob. 4CQCh. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - A crystalline solid consists of atoms stacked up...Ch. 1 - Prob. 8PCh. 1 - Prob. 9PCh. 1 - Prob. 10PCh. 1 - Prob. 11PCh. 1 - Prob. 12PCh. 1 - The position of a particle moving under uniform...Ch. 1 - (a) Assume the equation x = At3 + Bt describes the...Ch. 1 - A solid piece of lead has a mass of 23.94 g and a...Ch. 1 - Prob. 16PCh. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Why is the following situation impossible? A...Ch. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Prob. 22PCh. 1 - Prob. 23PCh. 1 - Prob. 24PCh. 1 - Prob. 25PCh. 1 - Let AI represent the density of aluminum and Fe...Ch. 1 - One gallon of paint (volume = 3.78 103 m3) covers...Ch. 1 - Prob. 28PCh. 1 - Prob. 29PCh. 1 - Prob. 30PCh. 1 - Prob. 31PCh. 1 - (a) Compute the order of magnitude of the mass of...Ch. 1 - To an order of magnitude, how many piano tuners...Ch. 1 - Prob. 34PCh. 1 - Prob. 35PCh. 1 - How many significant figures are in the following...Ch. 1 - The tropical year, the time interval from one...Ch. 1 - Prob. 38PCh. 1 - Review. In a community college parking lot, the...Ch. 1 - Prob. 40PCh. 1 - Prob. 41PCh. 1 - Prob. 42PCh. 1 - Review. The ratio of the number of sparrows...Ch. 1 - Prob. 44PCh. 1 - Prob. 45PCh. 1 - Prob. 46PCh. 1 - Prob. 47PCh. 1 - Prob. 48PCh. 1 - Prob. 49PCh. 1 - Prob. 50PCh. 1 - Prob. 51PCh. 1 - Prob. 52PCh. 1 - Prob. 53PCh. 1 - Prob. 54APCh. 1 - Prob. 55APCh. 1 - Prob. 56APCh. 1 - Prob. 57APCh. 1 - Prob. 58APCh. 1 - Prob. 59APCh. 1 - Prob. 60APCh. 1 - Prob. 61APCh. 1 - The distance from the Sun to the nearest star is...Ch. 1 - Prob. 63APCh. 1 - A spherical shell has an outside radius of 2.60 cm...Ch. 1 - Prob. 65APCh. 1 - Air is blown into a spherical balloon so that,...Ch. 1 - Prob. 67APCh. 1 - In physics, it is important to use mathematical...Ch. 1 - The consumption of natural gas by a company...Ch. 1 - A woman wishing to know the height of a mountain...Ch. 1 - Prob. 71APCh. 1 - Prob. 72APCh. 1 - Prob. 73AP
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