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

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

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

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