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(Solved): DYNAMICS QUESTION The figure shows a gear train composed of two pulleys, two bevel gears, two spur g ...
DYNAMICS QUESTION
The figure shows a gear train composed of two pulleys, two bevel gears, two spur gears, and a worm and worm gear. The input speed at pully 1 is . The diameters of pulleys 1 and 2 are 60 and , respectively. The average pitch radii of bevel gears are and 100 , respectively. The direction of the tangent velocity of the belt between pulleys is given by the blue arrow. , worm 7 is single thread and right handed, . a. Find the speed ratio. b. Determine the speed and direction of rotation of worm gear 8 .
Expert Answer
(a) The speed ratio of a gear train is given by the product of the teeth on the driven gears divided by the product of the teeth on the driving gears. Thus, For this gear train, the input speed at pulley 1 is 1000 rpm. The pulleys 1 and 2 are connected by a belt, so they have the same speed. Thus, the output speed of pulley 2 is also 1000 rpm.The bevel gears 3 and 4 are connected at right angles, so the speed ratio of the bevel gears is 1:1. The spur gears 5 and 6 have 20 and 50 teeth respectively, so their speed ratio is 50/20 = 2.5.REFER TO THE SOLUTION IN THIS STEP