Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 77, Problem 16A
To determine
(a)
To compute the angle
To determine
(b)
To compute the angle
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A wire ACB passes through a ring at C, which is attached to a sphere rotating at constant speed v in the horizontal circle shown in the figure. If θ1 = 61.48 ° and θ2 = 23.70 °, and the tension is the same in both portions of the wire, determine the distance d in inches if the speed v = 8 ft / s.
Find angle A rounded to the nearest tenth of a degree when cos A = 0.4104.
Verify that (sinA)² + (cosA)2 = 1 for the angle measure.
mZA = 45°
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- In each of the following exercises, three views of a part are shown. The angular surfaces are to be machined in reference to the horizontal plane at A and B as shown in the front and right side views. Compute the required angles using these formulas: tanR=tanAtanB cotC=cot2A+cot2B Given: A=31.60 C=28.00 a. Compute B. b. Compute R . Use this figure for Exercises 15, 16, and 17.arrow_forwardExpress the lengths a and b shown in the figure in terms of .arrow_forwardIn each of the following exercises, the top, front, and right side views of a compound-angular surface are shown. Compute the required angles using these formulas: tanR=tanBtanA tanT=tanAcosR Given: B=1800 R=2200 a. Compute A. b. Compute T. Use this figure for Exercises 18, 19, and 20.arrow_forward
- In each of the following exercises, the top, front, and right side views of a compound-angular hole are shown. Compute the required angles using these formulas: tanR=tanBtanA tanT=tan2A+tan2B Given: B=2300 R=3310 a. Compute A. b. Compute T. Use this figure for Exercises 17, 18, and 19.arrow_forwardFind the angle between u=2,1 and v=1,3.arrow_forwardSuppose the angle formed by the line y = 3x and the positive x-axis is 6. Find the tangent of (Figure 1). Figure 1arrow_forward
- Determine the answers to the following exercises which are based on corresponding parts. Identify the angle that corresponds with each angle listed. All dimensions are in millimeters.arrow_forwardLet Px,y be the terminal points on the unit circle determined by t. Then sin t =____, cos t =_____ and tan t =________.arrow_forwardRefer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures.When side x= side y. a. What is the value of 1 ? b. What is the value of the tangent function? c. What is the value of the cotangent function?arrow_forward
- Solve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. Points A, B, C, D, and E are tangent points. a. If AB=46.00 and DE=66.00 , find 1. b. If AB=53.00 and DE=70.00 , find 1.arrow_forwardA point that moves on a coordinate line is in simple when its distance d from the origin at time t is given by either d=asintord=acost.arrow_forwardRefer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures.When side y=side r. a. What is the value of the sine function? b. What is the value of the cotangent function? c. What is the value of the cosine function? d. What is the value of the cosecant function?arrow_forward
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01 - Angles and Angle Measure in Degrees - Part 1 - Types of Angles & What is an Angle?; Author: Math and Science;https://www.youtube.com/watch?v=hy95VyPet-M;License: Standard YouTube License, CC-BY