13-38. In the gearbox shown, gears 4 and 5 are compounded to the same shaft. The gearbox receives an input power of 4 hp at a speed of 300 rpm. The gears have a diametral pitch of 6 teeth/in, a 20° pressure angle, and the following numbers of teeth: N7 = 80 teeth, N = N3 = 20 teeth, N4 = 60 teeth, N₂ = 30 teeth. Assume all shafts lie in the same plane. Assume the gearbox is reasonably efficient, so losses can be neglected for this analysis. (a) the number of teeth needed on gear 6 to make the input and output shafts be in-line. (b) the minimum inside dimension of the gearbox Y before adding any clearance. (c) the pitch line velocity for gear 2, in units of ft/min. (d) the tangential force transmitted between gears 2 and 3. (e) the radial force transmitted between gears 2 and 3. (f) the input torque, in units of lbf-ft. (g) the output torque, in units of lbf-ft. (h) the output speed, in units of rev/min. (i) the output power, in units of hp. 5 ☑6 Input Output

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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13-38. In the gearbox shown, gears 4 and 5 are compounded to the same shaft. The gearbox
receives an input power of 4 hp at a speed of 300 rpm. The gears have a diametral pitch of 6 teeth/in,
a 20° pressure angle, and the following numbers of teeth: N7 = 80 teeth, N = N3 = 20 teeth, N4 = 60
teeth, N₂ = 30 teeth. Assume all shafts lie in the same plane. Assume the gearbox is reasonably
efficient, so losses can be neglected for this analysis.
(a) the number of teeth needed on gear 6 to make the input
and output shafts be in-line.
(b) the minimum inside dimension of the gearbox Y before
adding any clearance.
(c) the pitch line velocity for gear 2, in units of ft/min.
(d) the tangential force transmitted between gears 2 and 3.
(e) the radial force transmitted between gears 2 and 3.
(f) the input torque, in units of lbf-ft.
(g) the output torque, in units of lbf-ft.
(h) the output speed, in units of rev/min.
(i) the output power, in units of hp.
5 ☑6
Input
Output
Transcribed Image Text:13-38. In the gearbox shown, gears 4 and 5 are compounded to the same shaft. The gearbox receives an input power of 4 hp at a speed of 300 rpm. The gears have a diametral pitch of 6 teeth/in, a 20° pressure angle, and the following numbers of teeth: N7 = 80 teeth, N = N3 = 20 teeth, N4 = 60 teeth, N₂ = 30 teeth. Assume all shafts lie in the same plane. Assume the gearbox is reasonably efficient, so losses can be neglected for this analysis. (a) the number of teeth needed on gear 6 to make the input and output shafts be in-line. (b) the minimum inside dimension of the gearbox Y before adding any clearance. (c) the pitch line velocity for gear 2, in units of ft/min. (d) the tangential force transmitted between gears 2 and 3. (e) the radial force transmitted between gears 2 and 3. (f) the input torque, in units of lbf-ft. (g) the output torque, in units of lbf-ft. (h) the output speed, in units of rev/min. (i) the output power, in units of hp. 5 ☑6 Input Output
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