The following figure 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. teeth. n2 Suppose the first gear has nį teeth and the second gear has Gear 1 Gear 2 (n1, @) (n2, w2) 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 w, and w2 are the angular velocities of the first and second gears, respectively, then V2 = V1 r2@2 ri W2 = r2 W2 n2 The first gear in a single-stage gear train has 43 teeth and an angular velocity of 2 revolutions per second. The second gear has 11 teeth. Find the angular velocity of the second gear. (Round your answer to two decimal places.) 7.81 X rad/sec Cengage Learning
The following figure 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. teeth. n2 Suppose the first gear has nį teeth and the second gear has Gear 1 Gear 2 (n1, @) (n2, w2) 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 w, and w2 are the angular velocities of the first and second gears, respectively, then V2 = V1 r2@2 ri W2 = r2 W2 n2 The first gear in a single-stage gear train has 43 teeth and an angular velocity of 2 revolutions per second. The second gear has 11 teeth. Find the angular velocity of the second gear. (Round your answer to two decimal places.) 7.81 X rad/sec Cengage Learning
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
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