a. Explanation Given: The total deflection will be D = π + 2 α − 4 β Concept: At which point ray deflect from its path called angle of deflection. Calculation: So, in this problem when ray entering into the rain drop it will deflect from its path by angle ( α − β ) at point A. a n g l e o f i n c i d e n t i s = α And the angle of reflection is a n g l e o f r e f l e c</ b. To determine Calculate the derivative of the total angle of deflection in terms of a. c. To determine When T = T c then find the value of critical volume.

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which…

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Chapter 4.6, Problem 60PS

To determine

Calculate the total deflection of light from the rain drop.

To determine

Calculate the derivative of the total angle of deflection in terms of a.

To determine

When T=Tc then find the value of critical volume.

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Chapter 4.6, Problem 59PS

Chapter 4.7, Problem 1PS

Chapter 4 Solutions

Calculus

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A parabolic reflector for a car headlight forms a bowl shape that is 6 in. wide at its opening and 3 in. deep, as shown in the figure at the left. How far from the vertex should the filament of the bulb be placed if it is to be located at the focus?
Gear Trains Figure 8 shows a single-stage gear train. Gear trains are used in many products, such as clocks and automotive transmissions, to reduce or increase the angular velocity of a component. The size of each gear is measured by the number of teeth rather than the radius. Suppose the first gear has n1 and the second gear has n2 teeth. Because the spacing of the teeth is the same for both gears, the ratio of their radii will be equivalent to the corresponding ratio of the number of teeth. When two gears are meshed together, they share the same linear velocity. If 1 and 2 are the angular velocities of the first and second gears, respectively, then v2=v1r22=r112=r1r212=n1n21 The first gear in a single-stage gear train has 42 teeth and an angular velocity of 2 revolutions per second. The second gear has 7 teeth. Find the angular velocity of the second gear.
Gear Trains Figure 8 shows a single-stage gear train. Gear trains are used in many products, such as clocks and automotive transmissions, to reduce or increase the angular velocity of a component. The size of each gear is measured by the number of teeth rather than the radius. Suppose the first gear has n1 and the second gear has n2 teeth. Because the spacing of the teeth is the same for both gears, the ratio of their radii will be equivalent to the corresponding ratio of the number of teeth. When two gears are meshed together, they share the same linear velocity. If 1 and 2 are the angular velocities of the first and second gears, respectively, then v2=v1r22=r112=r1r212=n1n21 The second gear in a single-stage gear train has 6 teeth and an angular velocity of 90 revolutions per minute. The first gear has 54 teeth. Find the angular velocity of the first gear.

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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

Calculate the total deflection of light from the rain drop.

Solution Summary: The author calculates the total angle of deflection of light from the rain drop.

Concept explainers

Videos

Calculate the total deflection of light from the rain drop.

Calculate the derivative of the total angle of deflection in terms of a.

When T=Tc​ ​ ​ ​ ​ ​ then find the value of critical volume.

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Chapter 4 Solutions

When T=Tc then find the value of critical volume.