Chapter 16: Problem 1
Write definitions for the terms double helical gear, and herringbone gear.
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These are the key concepts you need to understand to accurately answer the question.
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Chapter 16: Problem 1
Write definitions for the terms double helical gear, and herringbone gear.
These are the key concepts you need to understand to accurately answer the question.
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A simple planetary train with 18 teeth in the sun and 114 teeth in the ring is used in an aircraft gearbox. The teeth have a \(3-\mathrm{mm}\) module in the normal plane, and the helix angle is \(0.40 \mathrm{rad}\). The manufacturer wishes to replace the original gearing with a 24 -tooth sun and a 108 -tooth ring using the same arm. What is the helix angle for the replacement gears if teeth of the same module are used?
What are two advantages of helical gears over spur gears?
A 30 -tooth helical gear with \(\psi=25^{\circ}\) has a \(20^{\circ}\) pressure angle in the plane of rotation. What is the pressure angle in the normal plane, \(\phi_{s}\), and the equivalent number of teeth, \(N_{e}\) ? What pressure angle and number of teeth would a straight spur gear tooth of comparable bending strength have?
Sketch a spur gear using a side view and top view showing the force components from a mating gear tooth acting on one gear tooth of the spur gear. Repeat this sketch except with a helical gear.
An automobile with a standard differential is stuck on an icy road, to the extent that the car does not move. The frustrated (and not very intelligent!) driver floors the accelerator and notes that the speedometer reads \(75 \mathrm{mph}\). To what normal car speed does the rotation of the spinning wheel correspond? (This illustrates the kind of "foreseeable abuse" that the engineer needs to take into consideration.)
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