An 8-pitch pinion with 18 teeth mates with a gear having 64 teeth. The pinion rotates at 2450 rpm. Compute the following: a. Center distance b. Velocity ratio c. Speed of gear d. Pitch line speed

A planetary gear train is shown in the figure. The sun gear (gear 1) is fixed, it has a 1-in. pitch diameter with a diametral pitch of 12. Gear 3 has 36 teeth and gear 4 has 20 teeth. Gear 5 has 40 teeth and is keyed to the same shaft as gear 4. Gear 5 mates with the ring gear (gear 6), which serves as the output from the train and has 160 teeth. The carrier (link 2) serves as the input to the train, determine the rotational velocity of the ring gear when the input shaft rotates at 1125 rpm clockwise.

A spur gear set is cut with a hob. The spur gears have a pressure angle of 20 degrees and a diametral pitch of 16 teeth/inch. The pinion has 32 teeth while the gear has 80. The customer wants to replace the spur gear set with a custom helical gear set. The only requirements are: (1) the same hob must be used (2) the gear set center distance must remain the same (3) the gear ratio must remain the same. The designer has decided to use a helical pinion with 28 teeth. For the helical gear set, select the proper helix angle that will guarantee the three requirements. Report your answer in degrees, 3 decimal places.

Two spur gears are to have a ratio of 9:3 and a 7mm module. If the center distance is to be approximatively 200mm, calculate the following:o Circular pitch value;o Number of teeth on the wheel (gear);o Number of teeth of the pinion;o Pitch circle diameter of the gear;o Pitch circle diameter of the pinion;

3. A gear having 48 teeth is being driven by a 12-tooth gear running at 800 rpm. Determine the speed of the driven gear if a 24-tooth idler is placed between the driving and driven gear. Note: Draw the gears showing their direction of rotation.

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A simple gear train of 30 and 50 teeth for pinion and gear wheel respectively, is used to drive an electric wheelchair at a velocity that is double the maximum velocity slip. The pinion has an equal addendum as the gear wheel, a module of 3 mm, and a pressure angle of 14,5. The wheelchair has a maximum velocity of 5 m/s when it's pinion rotates at 800 rpm. Calculate : 1.1)The magnitude of the velocity of slip of gears in mesh 1.2)The angular speed of the gear wheel in rad/s 1.3)The maximum length of a path of the approach in mm 1.4)The length of a path of a recess in mm. 1.5) The addendum of the gears in mm. 1.6) The contact ratio