An internal set of spur gears with 20, full-depth, involute teeth transmits 1.419 hp. The pinion...
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An internal set of spur gears with 20, full-depth, involute teeth transmits 1.419 hp. The pinion is mounted on the shaft of an electric motor as the input shaft. The pinion has 36 teeth and diametral pitch of 24. The gear has 108 teeth rotating at 5169 rpm. You are required to compute: a) The rotational speed of the pinion b) The velocity ratio and the gear ratio for the gear set c) The pitch diameter of the pinion and the gear d) The centre distance between the shafts carrying the pinion and the gear e) The pitch line speed for both the pinion and the gear f) The torque on the pinion shaft and on the gear shaft g) The tangential force acting on the teeth of each gear h) The radial force acting on the teeth of each gear i) The normal force acting on the teeth of each gear You may use the following equations: n @p RG DG NG Speed-Size VR== @G NG Rp Dp Np Speed Size,' m = DG Dp = NG Np D+DP(N+N); T = 2 2 Dw Dn 2 12 NG Pa = = DG Dp 28 Np 2P 2T -; W = Wtano; Wn = Wt coso = = (W) + (W) ; W = P = Vt Dw An internal set of spur gears with 20, full-depth, involute teeth transmits 1.419 hp. The pinion is mounted on the shaft of an electric motor as the input shaft. The pinion has 36 teeth and diametral pitch of 24. The gear has 108 teeth rotating at 5169 rpm. You are required to compute: a) The rotational speed of the pinion b) The velocity ratio and the gear ratio for the gear set c) The pitch diameter of the pinion and the gear d) The centre distance between the shafts carrying the pinion and the gear e) The pitch line speed for both the pinion and the gear f) The torque on the pinion shaft and on the gear shaft g) The tangential force acting on the teeth of each gear h) The radial force acting on the teeth of each gear i) The normal force acting on the teeth of each gear You may use the following equations: n @p RG DG NG Speed-Size VR== @G NG Rp Dp Np Speed Size,' m = DG Dp = NG Np D+DP(N+N); T = 2 2 Dw Dn 2 12 NG Pa = = DG Dp 28 Np 2P 2T -; W = Wtano; Wn = Wt coso = = (W) + (W) ; W = P = Vt Dw
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