A motor is providing 2 HP at speed n=1000 rpm to the input o…
A motor is providing 2 HP at speed n=1000 rpm to the input of an open (not-enclosed) gearbox as shown below. All motion is uniform, there are no shocks. The gearbox has one pinion and one gear. The pinion has 20 teeth. Gear has 40 teeth. They both have full-depth and crowned teeth They both have face width F = 1 inch. They both have helix angle Ψ is 30 degrees. The normal pressure angle ϕn is 25 deg. Hence, the transverse pressure angle ϕt is atan( tanϕn/cosΨ ) = 28.3001 deg. The normal diametral pitch Pn is 12 teeth/inch. Hence, the transverse diametral pitch Pt is 12*cos(30) = 10.3923 teeth/inch. They both are made of Grade-1 through-hardened steel of quality Qv = 7 The Brinell Hardness of both gears is HB = 300. The reliability is 0.95 for both gears. We want the both gears to survive by the time pinion has rotated for 109 cycles. If you need any further information, please assume the default / best case value. Answer the questions below. They all pertain to this problem and data provided above.