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Belts and Pulleys A thin belt of length
(a) Show that the angle
[Hint: Express
(b) Suppose that
Figure
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Chapter 7 Solutions
Algebra and Trigonometry (MindTap Course List)
- Express the lengths a and b shown in the figure in terms of .arrow_forwardFind the angle between u=2,1 and v=1,3.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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