Trigonometry (MindTap Course List)
8th Edition
ISBN: 9781305652224
Author: Charles P. McKeague, Mark D. Turner
Publisher: Cengage Learning
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Textbook Question
Chapter 3.5, Problem 63PS
Cycling When a cyclist pedals. he turns a gear, called a chainring. The angular velocity of the chainring will determine the linear speed at which the chain travels. The chain connects the chainring to a smaller gear, called a sprocket, winch is attached to the rear wheel (Figure 11). The angular velocity of the sprocket depends upon the linear speed of the chain. The sprocket and rear wheel rotate at the same rate, and the diameter of the rear wheel is 700 millimeters. The speed at which the cyclist travels is determined by the angular velocity of his rear wheel. Use this information to answer Problems 63 through 67.
A pro cyclist is climbing Mount Ventoux, equipped with a 150-millimeter-diameter chainring and a 95-millimeter-diameter sprocket. If he was pedaling at a rate of 90 revolutions per minute, find his speed in kilometers per hour.
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Chapter 3 Solutions
Trigonometry (MindTap Course List)
Ch. 3.1 - For Questions 1 through 3, fill in each blank with...Ch. 3.1 - For Questions 1 through 3, fill in each blank with...Ch. 3.1 - For Questions 1 through 3, fill in each blank with...Ch. 3.1 - Complete each statement regarding an angle and...Ch. 3.1 - Draw each of the following angles in standard...Ch. 3.1 - Draw each of the following angles in standard...Ch. 3.1 - Draw each of the following angles in standard...Ch. 3.1 - Draw each of the following angles in standard...Ch. 3.1 - Prob. 9PSCh. 3.1 - Draw each of the following angles in standard...
Ch. 3.1 - Prob. 11PSCh. 3.1 - Draw each of the following angles in standard...Ch. 3.1 - Prob. 13PSCh. 3.1 - Prob. 14PSCh. 3.1 - Prob. 15PSCh. 3.1 - Prob. 16PSCh. 3.1 - Prob. 17PSCh. 3.1 - Prob. 18PSCh. 3.1 - Find the exact value of each of the following....Ch. 3.1 - Prob. 20PSCh. 3.1 - Prob. 21PSCh. 3.1 - Prob. 22PSCh. 3.1 - Prob. 23PSCh. 3.1 - Prob. 24PSCh. 3.1 - Prob. 25PSCh. 3.1 - Prob. 26PSCh. 3.1 - Find the exact value of each of the following....Ch. 3.1 - Prob. 28PSCh. 3.1 - Prob. 29PSCh. 3.1 - Prob. 30PSCh. 3.1 - Find the exact value of each of the following....Ch. 3.1 - Find the exact value of each of the following....Ch. 3.1 - Prob. 33PSCh. 3.1 - Use a calculator to find the following. Round your...Ch. 3.1 - Use a calculator to find the following. Round your...Ch. 3.1 - Prob. 36PSCh. 3.1 - Use a calculator to find the following. Round your...Ch. 3.1 - Prob. 38PSCh. 3.1 - Prob. 39PSCh. 3.1 - Prob. 40PSCh. 3.1 - Use a calculator to find the following. Round your...Ch. 3.1 - Prob. 42PSCh. 3.1 - Prob. 43PSCh. 3.1 - Prob. 44PSCh. 3.1 - Prob. 45PSCh. 3.1 - Prob. 46PSCh. 3.1 - Prob. 47PSCh. 3.1 - Prob. 48PSCh. 3.1 - Use a calculator to find the following. Round your...Ch. 3.1 - Prob. 50PSCh. 3.1 - Prob. 51PSCh. 3.1 - Use a calculator to find the following. Round your...Ch. 3.1 - Use the given information and a calculator to find...Ch. 3.1 - Prob. 54PSCh. 3.1 - Use the given information and a calculator to find...Ch. 3.1 - Use the given information and a calculator to find...Ch. 3.1 - Prob. 57PSCh. 3.1 - Prob. 58PSCh. 3.1 - Use the given information and a calculator to find...Ch. 3.1 - Prob. 60PSCh. 3.1 - Prob. 61PSCh. 3.1 - Prob. 62PSCh. 3.1 - Use the given information and a calculator to find...Ch. 3.1 - Use the given information and a calculator to find...Ch. 3.1 - Use the given information and a calculator to find...Ch. 3.1 - Prob. 66PSCh. 3.1 - Prob. 67PSCh. 3.1 - Use the given information and a calculator to find...Ch. 3.1 - Prob. 69PSCh. 3.1 - Use the given information and a calculator to find...Ch. 3.1 - Find , 0o360o, given the following information....Ch. 3.1 - Prob. 72PSCh. 3.1 - Find , 0o360o, given the following information....Ch. 3.1 - Prob. 74PSCh. 3.1 - Prob. 75PSCh. 3.1 - Prob. 76PSCh. 3.1 - Prob. 77PSCh. 3.1 - Prob. 78PSCh. 3.1 - Prob. 79PSCh. 3.1 - Find , 0o360o, given the following information....Ch. 3.1 - Prob. 81PSCh. 3.1 - Find , 0o360o, given the following information....Ch. 3.1 - Prob. 83PSCh. 3.1 - Prob. 84PSCh. 3.1 - Prob. 85PSCh. 3.1 - Prob. 86PSCh. 3.1 - Prob. 87PSCh. 3.1 - Prob. 88PSCh. 3.1 - Prob. 89PSCh. 3.1 - Prob. 90PSCh. 3.1 - Simplify each expression by substituting values...Ch. 3.1 - Prob. 92PSCh. 3.1 - Prob. 93PSCh. 3.1 - Prob. 94PSCh. 3.1 - Prob. 95PSCh. 3.1 - Use a reference angle to find the exact value of...Ch. 3.1 - Prob. 97PSCh. 3.1 - Prob. 98PSCh. 3.2 - For Questions 1 and 2, fill in each blank with the...Ch. 3.2 - For Questions 1 and 2, fill in each blank with the...Ch. 3.2 - Complete each statement regarding an angle and...Ch. 3.2 - Match each angle (a-d) with its corresponding...Ch. 3.2 - Prob. 5PSCh. 3.2 - Find the radian measure of angle , if is a...Ch. 3.2 - Prob. 7PSCh. 3.2 - Prob. 8PSCh. 3.2 - Find the radian measure of angle , if is a...Ch. 3.2 - Find the radian measure of angle , if is a...Ch. 3.2 - Angle Between Cities Los Angeles and San Francisco...Ch. 3.2 - Angle Between Cities Los Angeles and New York City...Ch. 3.2 - Prob. 13PSCh. 3.2 - Prob. 14PSCh. 3.2 - For each of the following angles, a. draw the...Ch. 3.2 - For each of the following angles, a. draw the...Ch. 3.2 - For each of the following angles, a. draw the...Ch. 3.2 - Prob. 18PSCh. 3.2 - Prob. 19PSCh. 3.2 - Prob. 20PSCh. 3.2 - For Problems 21 through 24, use 3.1416 for unless...Ch. 3.2 - Prob. 22PSCh. 3.2 - For Problems 21 through 24, use 3.1416 for unless...Ch. 3.2 - Prob. 24PSCh. 3.2 - Find the number of regular (statute) miles in 1...Ch. 3.2 - If two ships are 30 nautical miles apart on the...Ch. 3.2 - If two ships are 70 nautical miles apart on the...Ch. 3.2 - If the great circle distance between two ships on...Ch. 3.2 - Clock Through how many radians does the minute...Ch. 3.2 - Clock Through how many radians does the minute...Ch. 3.2 - Prob. 31PSCh. 3.2 - Prob. 32PSCh. 3.2 - Prob. 33PSCh. 3.2 - Prob. 34PSCh. 3.2 - Prob. 35PSCh. 3.2 - Prob. 36PSCh. 3.2 - Prob. 37PSCh. 3.2 - Prob. 38PSCh. 3.2 - Write each angle as a sum or difference involving...Ch. 3.2 - Prob. 40PSCh. 3.2 - Write each angle as a sum or difference involving...Ch. 3.2 - Prob. 42PSCh. 3.2 - Prob. 43PSCh. 3.2 - Prob. 44PSCh. 3.2 - Prob. 45PSCh. 3.2 - For each of the following angles, a. draw the...Ch. 3.2 - Prob. 47PSCh. 3.2 - Prob. 48PSCh. 3.2 - Prob. 49PSCh. 3.2 - Prob. 50PSCh. 3.2 - Prob. 51PSCh. 3.2 - Prob. 52PSCh. 3.2 - Use a calculator to convert each of the following...Ch. 3.2 - Prob. 54PSCh. 3.2 - Use a calculator to convert each of the following...Ch. 3.2 - Prob. 56PSCh. 3.2 - Give the exact value of each of the following:...Ch. 3.2 - Prob. 58PSCh. 3.2 - Prob. 59PSCh. 3.2 - Give the exact value of each of the following:...Ch. 3.2 - Prob. 61PSCh. 3.2 - Prob. 62PSCh. 3.2 - Prob. 63PSCh. 3.2 - Prob. 64PSCh. 3.2 - Prob. 65PSCh. 3.2 - Prob. 66PSCh. 3.2 - Prob. 67PSCh. 3.2 - Give the exact value of each of the following:...Ch. 3.2 - Prob. 69PSCh. 3.2 - Prob. 70PSCh. 3.2 - Prob. 71PSCh. 3.2 - Evaluate each of the following expressions when x...Ch. 3.2 - Prob. 73PSCh. 3.2 - Prob. 74PSCh. 3.2 - Evaluate each of the following expressions when x...Ch. 3.2 - Evaluate each of the following expressions when x...Ch. 3.2 - Prob. 77PSCh. 3.2 - Prob. 78PSCh. 3.2 - Prob. 79PSCh. 3.2 - Evaluate each of the following expressions when x...Ch. 3.2 - Prob. 81PSCh. 3.2 - Prob. 82PSCh. 3.2 - Prob. 83PSCh. 3.2 - Prob. 84PSCh. 3.2 - Prob. 85PSCh. 3.2 - Prob. 86PSCh. 3.2 - Prob. 87PSCh. 3.2 - Prob. 88PSCh. 3.2 - Prob. 89PSCh. 3.2 - Prob. 90PSCh. 3.2 - Prob. 91PSCh. 3.2 - For the following expressions, find the value of y...Ch. 3.2 - Prob. 93PSCh. 3.2 - For the following expressions, find the value of y...Ch. 3.2 - Cycling The Campagnolo Hyperon Ultra Two carbon...Ch. 3.2 - Cycling The Reynolds RZR 46 carbon wheel has 16...Ch. 3.2 - Prob. 97PSCh. 3.2 - Prob. 98PSCh. 3.2 - Prob. 99PSCh. 3.2 - Prob. 100PSCh. 3.2 - Find the remaining trigonometric functions of , if...Ch. 3.2 - Prob. 102PSCh. 3.2 - Prob. 103PSCh. 3.2 - Prob. 104PSCh. 3.2 - Prob. 105PSCh. 3.2 - Prob. 106PSCh. 3.2 - Prob. 107PSCh. 3.2 - Prob. 108PSCh. 3.3 - For Questions 1 through 6, fill in each blank with...Ch. 3.3 - For Questions 1 through 6, fill in each blank with...Ch. 3.3 - Prob. 3PSCh. 3.3 - For Questions 1 through 6, fill in each blank with...Ch. 3.3 - For Questions 1 through 6, fill in each blank with...Ch. 3.3 - For Questions 1 through 6, fill in each blank with...Ch. 3.3 - Use the unit circle to evaluate each function....Ch. 3.3 - Prob. 8PSCh. 3.3 - Use the unit circle to evaluate each function....Ch. 3.3 - Use the unit circle to evaluate each function....Ch. 3.3 - Prob. 11PSCh. 3.3 - Use the unit circle to evaluate each function....Ch. 3.3 - Prob. 13PSCh. 3.3 - Use the unit circle to evaluate each function....Ch. 3.3 - Use the unit circle to evaluate each function....Ch. 3.3 - Use the unit circle to evaluate each function....Ch. 3.3 - Prob. 17PSCh. 3.3 - Use the unit circle to evaluate each function....Ch. 3.3 - Prob. 19PSCh. 3.3 - Prob. 20PSCh. 3.3 - Use the unit circle to find the six trigonometric...Ch. 3.3 - Use the unit circle to find the six trigonometric...Ch. 3.3 - Use the unit circle to find the six trigonometric...Ch. 3.3 - Prob. 24PSCh. 3.3 - Prob. 25PSCh. 3.3 - Prob. 26PSCh. 3.3 - Prob. 27PSCh. 3.3 - Use the unit circle to find all values of between...Ch. 3.3 - Use the unit circle to find all values of between...Ch. 3.3 - Prob. 30PSCh. 3.3 - Use the unit circle to find all values of between...Ch. 3.3 - Use the unit circle to find all values of between...Ch. 3.3 - Prob. 33PSCh. 3.3 - Graph the unit circle using parametric equations...Ch. 3.3 - Graph the unit circle using parametric equations...Ch. 3.3 - Prob. 36PSCh. 3.3 - Prob. 37PSCh. 3.3 - Graph the unit circle using parametric equations...Ch. 3.3 - Prob. 39PSCh. 3.3 - Prob. 40PSCh. 3.3 - Prob. 41PSCh. 3.3 - Prob. 42PSCh. 3.3 - Prob. 43PSCh. 3.3 - Prob. 44PSCh. 3.3 - Prob. 45PSCh. 3.3 - Prob. 46PSCh. 3.3 - Prob. 47PSCh. 3.3 - Graph the unit circle using parametric equations...Ch. 3.3 - For Problems 49 through 56, use Figure 14, which...Ch. 3.3 - For Problems 49 through 56, use Figure 14, which...Ch. 3.3 - Prob. 51PSCh. 3.3 - Prob. 52PSCh. 3.3 - Prob. 53PSCh. 3.3 - Prob. 54PSCh. 3.3 - For Problems 49 through 56, use Figure 14, which...Ch. 3.3 - Prob. 56PSCh. 3.3 - If angle is in standard position and the terminal...Ch. 3.3 - If angle is in standard position and the terminal...Ch. 3.3 - If t is the distance from (1,0) to (0.5403,0.8415)...Ch. 3.3 - If t is the distance from (1,0) to (0.9422,0.3350)...Ch. 3.3 - Prob. 61PSCh. 3.3 - Prob. 62PSCh. 3.3 - Identify the argument of each function. tan5Ch. 3.3 - Prob. 64PSCh. 3.3 - Prob. 65PSCh. 3.3 - Prob. 66PSCh. 3.3 - Prob. 67PSCh. 3.3 - Prob. 68PSCh. 3.3 - Prob. 69PSCh. 3.3 - Prob. 70PSCh. 3.3 - Use a calculator to approximate each value to four...Ch. 3.3 - Prob. 72PSCh. 3.3 - Use a calculator to approximate each value to four...Ch. 3.3 - Prob. 74PSCh. 3.3 - Prob. 75PSCh. 3.3 - Use a calculator to approximate each value to four...Ch. 3.3 - Prob. 77PSCh. 3.3 - Prob. 78PSCh. 3.3 - If we start at the point (1,0) and travel once...Ch. 3.3 - Prob. 80PSCh. 3.3 - Which of the six trigonometric functions are not...Ch. 3.3 - Prob. 82PSCh. 3.3 - Prob. 83PSCh. 3.3 - Prob. 84PSCh. 3.3 - Prob. 85PSCh. 3.3 - Prob. 86PSCh. 3.3 - Prob. 87PSCh. 3.3 - Prob. 88PSCh. 3.3 - Prob. 89PSCh. 3.3 - Prob. 90PSCh. 3.3 - Prob. 91PSCh. 3.3 - Prob. 92PSCh. 3.3 - Prob. 93PSCh. 3.3 - Prob. 94PSCh. 3.3 - Prob. 95PSCh. 3.3 - Use the diagram shown in Figure 12 for the...Ch. 3.3 - Prob. 97PSCh. 3.3 - Prob. 98PSCh. 3.3 - Prob. 99PSCh. 3.3 - The diagram of the unit circle shown in Figure 15...Ch. 3.3 - Prob. 101PSCh. 3.3 - The diagram of the unit circle shown in Figure 15...Ch. 3.3 - Prob. 103PSCh. 3.3 - The diagram of the unit circle shown in Figure 15...Ch. 3.3 - The diagram of the unit circle shown in Figure 15...Ch. 3.3 - Prob. 106PSCh. 3.3 - Problems 107 through 112 refer to right triangle...Ch. 3.3 - Prob. 108PSCh. 3.3 - Prob. 109PSCh. 3.3 - Prob. 110PSCh. 3.3 - Prob. 111PSCh. 3.3 - Prob. 112PSCh. 3.3 - Prob. 113PSCh. 3.3 - If angle is in standard position and the terminal...Ch. 3.3 - Prob. 115PSCh. 3.3 - Which statement is possible for some real number...Ch. 3.4 - For Questions 1 through 4, fill in each blank with...Ch. 3.4 - For Questions 1 through 4, fill in each blank with...Ch. 3.4 - Prob. 3PSCh. 3.4 - For Questions 1 through 4, fill in each blank with...Ch. 3.4 - Prob. 5PSCh. 3.4 - Prob. 6PSCh. 3.4 - Prob. 7PSCh. 3.4 - Prob. 8PSCh. 3.4 - For each of the following problems, is a central...Ch. 3.4 - Prob. 10PSCh. 3.4 - Prob. 11PSCh. 3.4 - Prob. 12PSCh. 3.4 - For each of the following problems, is a central...Ch. 3.4 - Prob. 14PSCh. 3.4 - Arc Length The minute hand of a clock is 1.2...Ch. 3.4 - Arc length The minute hand of a clock is 4.5...Ch. 3.4 - Arc Length A satellite 200 miles above the earth...Ch. 3.4 - Arc Length How long, in hours, does it take the...Ch. 3.4 - Arc Length The pendulum on a grandfather clock...Ch. 3.4 - Arc Length Find the total distance traveled in 1...Ch. 3.4 - Cable Car Drive System The current San Francisco...Ch. 3.4 - Cable Car Drive System The first cable railway to...Ch. 3.4 - Drum Brakes The Isuzu NPR 250 light truck with...Ch. 3.4 - Drum Brakes The Isuzu NPR 250 truck with automatic...Ch. 3.4 - Diameter of the Moon From the earth, the moon...Ch. 3.4 - Diameter of the Sun If the distance to the sun is...Ch. 3.4 - Prob. 27PSCh. 3.4 - Prob. 28PSCh. 3.4 - Prob. 29PSCh. 3.4 - Prob. 30PSCh. 3.4 - Ferris Wheel In Problem Set 2.3, we mentioned a...Ch. 3.4 - Ferris Wheel A Ferris Wheel called Colossus that...Ch. 3.4 - Prob. 33PSCh. 3.4 - Prob. 34PSCh. 3.4 - Prob. 35PSCh. 3.4 - Prob. 36PSCh. 3.4 - In each of the following problems, is a central...Ch. 3.4 - Prob. 38PSCh. 3.4 - Prob. 39PSCh. 3.4 - Prob. 40PSCh. 3.4 - In each of the following problems, is a central...Ch. 3.4 - Prob. 42PSCh. 3.4 - Find the area of the sector formed by the given...Ch. 3.4 - Prob. 44PSCh. 3.4 - Prob. 45PSCh. 3.4 - Prob. 46PSCh. 3.4 - Prob. 47PSCh. 3.4 - Find the area of the sector formed by the given...Ch. 3.4 - Find the area of the sector formed by the given...Ch. 3.4 - Find the area of the sector formed by the given...Ch. 3.4 - Area of a Sector An arc of length 3 feet is cut...Ch. 3.4 - Area of a Sector A central angle of 2 radians cuts...Ch. 3.4 - Radius of a Circle If the sector formed by a...Ch. 3.4 - Arc Length What is the length of the arc cut off...Ch. 3.4 - Prob. 55PSCh. 3.4 - Prob. 56PSCh. 3.4 - Lawn Sprinkler A lawn sprinkler is located at the...Ch. 3.4 - Windshield Wiper An automobile windshield wiper 10...Ch. 3.4 - Cycling The Campagnolo Hyperon Ultra Two carbon...Ch. 3.4 - Cycling The Reynolds RZR 46 carbon wheel, which...Ch. 3.4 - Pac-Man Figure 17 shows an image of Pac-Man from...Ch. 3.4 - Coffee Filter A conical coffee filter is made from...Ch. 3.4 - Prob. 63PSCh. 3.4 - Prob. 64PSCh. 3.4 - Prob. 65PSCh. 3.4 - Prob. 66PSCh. 3.4 - Angle of Elevation If a 75-foot flagpole casts a...Ch. 3.4 - Prob. 68PSCh. 3.4 - Prob. 69PSCh. 3.4 - Distance and Bearing A boat travels on a course of...Ch. 3.4 - Prob. 71PSCh. 3.4 - Height of a Tree Two people decide to find the...Ch. 3.4 - Prob. 73PSCh. 3.4 - Prob. 74PSCh. 3.4 - A curve along a highway is an arc of a circle with...Ch. 3.4 - Prob. 76PSCh. 3.5 - For Questions 1 through 4, fill in each blank with...Ch. 3.5 - For Questions 1 through 4, fill in each blank with...Ch. 3.5 - Prob. 3PSCh. 3.5 - For Questions 1 through 4, fill in each blank with...Ch. 3.5 - Prob. 5PSCh. 3.5 - Prob. 6PSCh. 3.5 - Prob. 7PSCh. 3.5 - Prob. 8PSCh. 3.5 - Prob. 9PSCh. 3.5 - Find the linear velocity of a point moving with...Ch. 3.5 - Prob. 11PSCh. 3.5 - Find the distance s covered by a point moving with...Ch. 3.5 - Prob. 13PSCh. 3.5 - Prob. 14PSCh. 3.5 - Find the distance s covered by a point moving with...Ch. 3.5 - Find the distance s covered by a point moving with...Ch. 3.5 - Point P sweeps out central angle as it rotates on...Ch. 3.5 - Point P sweeps out central angle as it rotates on...Ch. 3.5 - Prob. 19PSCh. 3.5 - Prob. 20PSCh. 3.5 - Point P sweeps out central angle as it rotates on...Ch. 3.5 - Prob. 22PSCh. 3.5 - Prob. 23PSCh. 3.5 - Prob. 24PSCh. 3.5 - In the problems that follow, point P moves with...Ch. 3.5 - Prob. 26PSCh. 3.5 - Prob. 27PSCh. 3.5 - In the problems that follow, point P moves with...Ch. 3.5 - In the problems that follow, point P moves with...Ch. 3.5 - In the problems that follow, point P moves with...Ch. 3.5 - For each of the following problems, find the...Ch. 3.5 - For each of the following problems, find the...Ch. 3.5 - For each of the following problems, find the...Ch. 3.5 - Prob. 34PSCh. 3.5 - Prob. 35PSCh. 3.5 - Prob. 36PSCh. 3.5 - For each of the following problems, a point is...Ch. 3.5 - Prob. 38PSCh. 3.5 - Prob. 39PSCh. 3.5 - Prob. 40PSCh. 3.5 - For each of the following problems, a point is...Ch. 3.5 - For each of the following problems, a point is...Ch. 3.5 - Velocity at the Equator The earth rotates through...Ch. 3.5 - Velocity at the Equator Assuming the radius of the...Ch. 3.5 - Velocity of a Miser Blade A mixing blade on a food...Ch. 3.5 - Velocity of a Lawnmower Blade A gasoline-driven...Ch. 3.5 - Cable Cars The San Francisco cable cars travel by...Ch. 3.5 - Cable Cars The Los Angeles Cable Railway was...Ch. 3.5 - Cable Cars The Cleveland City Cable Railway had a...Ch. 3.5 - Cable Cars The old Sutter Street cable car line in...Ch. 3.5 - Ski Lift A ski lift operates by driving a wire...Ch. 3.5 - Ski Lift An engineering firm is designing a ski...Ch. 3.5 - Velocity of a Ferris Wheel Figure 7 is a model of...Ch. 3.5 - Velocity of a Ferris Wheel Use Figure 7 as a model...Ch. 3.5 - Prob. 55PSCh. 3.5 - Prob. 56PSCh. 3.5 - Velocity of a Bike Wheel A woman rides a bicycle...Ch. 3.5 - Prob. 58PSCh. 3.5 - Gear Trains Figure 8 shows a single-stage gear...Ch. 3.5 - Gear Trains Figure 8 shows a single-stage gear...Ch. 3.5 - A gear train consists of three gears meshed...Ch. 3.5 - A two-stage gear train consists of four gears...Ch. 3.5 - Cycling When a cyclist pedals. he turns a gear,...Ch. 3.5 - Cycling When a cyclist pedals. he turns a gear,...Ch. 3.5 - Cycling When a cyclist pedals. he turns a gear,...Ch. 3.5 - Cycling When a cyclist pedals. he turns a gear,...Ch. 3.5 - Cycling When a cyclist pedals. he turns a gear,...Ch. 3.5 - Prob. 68PSCh. 3.5 - Prob. 69PSCh. 3.5 - Prob. 70PSCh. 3.5 - Prob. 71PSCh. 3.5 - Prob. 72PSCh. 3.5 - Prob. 73PSCh. 3.5 - Find the angular velocity of a point moving with...Ch. 3.5 - Find the linear velocity of a point rotating at 30...Ch. 3.5 - A pulley is driven by a belt moving at a speed of...Ch. 3 - Draw each of the following angles in standard...Ch. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Use a calculator to find each of the following...Ch. 3 - Use a calculator to find , to the nearest tenth of...Ch. 3 - Use a calculator to find , to the nearest tenth of...Ch. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 16CTCh. 3 - Determine if the statement sinz=2 is possible for...Ch. 3 - Prob. 18CTCh. 3 - If =60o is a central angle in a circle of radius 6...Ch. 3 - Prob. 20CTCh. 3 - Prob. 21CTCh. 3 - Distance A boy is twirling a model airplane on a...Ch. 3 - Area of a Sector A central angle of 4 radians cuts...Ch. 3 - Point P moves with angular velocity =4 radians per...Ch. 3 - Prob. 25CTCh. 3 - Prob. 26CTCh. 3 - Angular Velocity A belt connects a pulley of...Ch. 3 - Linear Velocity A propeller with radius 3.50 feet...Ch. 3 - Cable Cars If a 14 -foot-diameter sheave is used...Ch. 3 - Cycling A pro cyclist is riding in the Vuelta a...Ch. 3 - Prob. 1GPCh. 3 - Prob. 2GPCh. 3 - Prob. 3GPCh. 3 - Prob. 4GPCh. 3 - Prob. 5GPCh. 3 - Prob. 6GPCh. 3 - Prob. 1RPCh. 3 - Use the information given in Figure 1 to find x,...Ch. 3 - Prob. 2CLTCh. 3 - Prob. 3CLTCh. 3 - Find all angles that are coterminal with 150.Ch. 3 - Prob. 5CLTCh. 3 - Find all six trigonometric functions for if the...Ch. 3 - Prob. 7CLTCh. 3 - Prob. 8CLTCh. 3 - Prob. 9CLTCh. 3 - Prob. 10CLTCh. 3 - Find sinA , cosA, tanA, and sinB , cosB, and tanB...Ch. 3 - Fill in the blank to make the statement true: sec...Ch. 3 - Prob. 13CLTCh. 3 - Prob. 14CLTCh. 3 - Prob. 15CLTCh. 3 - Prob. 16CLTCh. 3 - Prob. 17CLTCh. 3 - Prob. 18CLTCh. 3 - Prob. 19CLTCh. 3 - Prob. 20CLTCh. 3 - Draw 117.8o in standard position and then name the...Ch. 3 - Prob. 22CLTCh. 3 - Prob. 23CLTCh. 3 - Give the exact value of sin53.Ch. 3 - Prob. 25CLTCh. 3 - Prob. 26CLTCh. 3 - Prob. 27CLTCh. 3 - Prob. 28CLTCh. 3 - Prob. 29CLTCh. 3 - Velocity of a DVD A DVD, when placed in a DVD...
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- The second hand of a clock is 8 centimeters long. Find the linear speed of the tip of the second hand as it passes around the clock face.arrow_forwardConsidering that the consecutive dials on the electric meter rotate in opposite directions, what is the current reading in kilowatt hours of usage? The initial direction is clockwise.arrow_forwardConsidering that the consecutive dials on the natural gas meter rotate in opposite directions, what is the current reading in cubic feet of usage? The initial direction is clockwise.arrow_forward
- A boat is traveling due east parallel to the shoreline at a speed of 10 miles per hour. At a given time, the bearing to a lighthouse is S70E, and 15 minutes later the bearing is S63E (see figure). The lighthouse is located at the shoreline. What is the distance from the boat to the shoreline?arrow_forwardFan A ceiling fan with 16-in. blades rotates at 45rpm. a Find the angular speed of the fan in rad/min. b Find the linear speed of the tips of the blades in in./min.arrow_forwardThe circular blade on a saw has a radius of 4 inches and it rotates at 2400 revolutions per minute. a. Find the angular speed of the blade in radians per minute. b. Find the linear speed of the edge of the blade.arrow_forward
- Cycling When a cyclist pedals. he turns a gear, called a chainring. The angular velocity of the chainring will determine the linear speed at which the chain travels. The chain connects the chainring to a smaller gear, called a sprocket, winch is attached to the rear wheel (Figure 11). The angular velocity of the sprocket depends upon the linear speed of the chain. The sprocket and rear wheel rotate at the same rate, and the diameter of the rear wheel is 700 millimeters. The speed at which the cyclist travels is determined by the angular velocity of his rear wheel. Use this information to answer Problems 63 through 67. If a cyclist was using her 150-millimeter-diameter chainring and pedaling at a rate of 95 revolutions per minute, what diameter sprocket would she need in order to maintain a speed of 24 kilometers per hour?arrow_forwardCycling When a cyclist pedals. he turns a gear, called a chainring. The angular velocity of the chainring will determine the linear speed at which the chain travels. The chain connects the chainring to a smaller gear, called a sprocket, winch is attached to the rear wheel (Figure 11). The angular velocity of the sprocket depends upon the linear speed of the chain. The sprocket and rear wheel rotate at the same rate, and the diameter of the rear wheel is 700 millimeters. The speed at which the cyclist travels is determined by the angular velocity of his rear wheel. Use this information to answer Problems 63 through 67. On level ground, a pro cyclist would use a larger chainring and a smaller sprocket. If he shifted to a 210-millimeter-diameter chainring and a 40-millimeter-diameter sprocket, how fast would he be traveling in kilometers per hour if he pedaled at a rate of 80 revolutions per minute?arrow_forwardCycling When a cyclist pedals. he turns a gear, called a chainring. The angular velocity of the chainring will determine the linear speed at which the chain travels. The chain connects the chainring to a smaller gear, called a sprocket, winch is attached to the rear wheel (Figure 11). The angular velocity of the sprocket depends upon the linear speed of the chain. The sprocket and rear wheel rotate at the same rate, and the diameter of the rear wheel is 700 millimeters. The speed at which the cyclist travels is determined by the angular velocity of his rear wheel. Use this information to answer Problems 63 through 67. Suppose a cyclist was using a 150-millimeter-diameter chainring and an 80-millimeter-diameter sprocket. How fast would she need to pedal, in revolutions per minute, in order to maintain a speed of 20 kilometers per hour?arrow_forward
- An airplane is 90 miles south and 110 miles east of an airport. What bearing should the pilot take to fly directly to the airport?arrow_forwardVelocity Pitcher Aroldis Chapman threw a pitch with a recorded velocity of 105 miles per hour. Assuming he threw the pitch at an angle of 3.5 below the horizontal, find the vertical and horizontal components of the velocity. (Source: Guinness World Records)arrow_forwardGear 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.arrow_forward
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