Chapter 15: Problem 54
Search for information on the power split device for the Toyota Prius and describe how this vehicle coordinates the use of both a gas engine and an electric motor using a planetary gear set.
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Chapter 15: Problem 54
Search for information on the power split device for the Toyota Prius and describe how this vehicle coordinates the use of both a gas engine and an electric motor using a planetary gear set.
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A 17-tooth pinion meshes with an 84-tooth gear. The full-depth involute gear teeth have a \(20^{\circ}\) pressure angle and a diametral pitch of 32 . Determine the arc of approach, arc of recess, arc of action, base pitch, and the contact ratio. Also calculate the addendum, dedendum, circular pitch, tooth thickness, and the base diameter for the pinion and gear. If the center distance is increased by \(0.125 \mathrm{in}\)., what are the new values for the contact ratio and the pressure angle?
A \(4: 1\) speed ratio is to be provided by a pair of spur gears on \(7.5\)-in. centers. Using a diametral pitch of 8 , what are the numbers of teeth and pitch diameters of the two gears?
A planetary train similar to Figure \(15.32\) has a band brake that holds the ring fixed. The sun is driven clockwise at \(800 \mathrm{rpm}\) with a torque of \(16 \mathrm{~N} \cdot \mathrm{m}\). The arm drives a machine. The gears have a module \(m\) of \(2.0\left(\mathrm{~mm} /\right.\) tooth) and \(\phi=20^{\circ}\). The ring has 70 teeth. Only two planets are used, each having 20 teeth. (a) What is the circular pitch \(p\) ? (b) Sketch each member of the train as a free body in equilibrium (neglect gravity loads). (c) What is the output torque? (d) What is the arm rpm? Does it rotate clockwise or counterclockwise? (e) What pitch line velocity should be used in determining the velocity factor for each of the gears? (Hint: The velocity must be determined with respect to the proper member. For example, the appropriate pitch line velocity for the pinion and gear of a simple aircraft engine reduction gear when the plane is doing a "barrel roll" is the velocity with respect to the frame, not with respect to the ground.) (f) What are the nominal radial loads imposed on the bearings supporting each of the gears? (g) What torque must the brake provide in order to hold the ring fixed?
A 32 -tooth gear with an 8-diametral pitch meshes with a 65 -tooth gear. Determine the value of the standard center distance.
A 24-tooth pinion has a module of \(2 \mathrm{~mm}\), rotates \(2400 \mathrm{rpm}\), and drives an \(800-\mathrm{rpm}\) gear. Determine the number of teeth on the gear, the circular pitch, and the theoretical center distance.
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