Question

4. Given an Epicyclic gearbox that has a fixed Sun gear “D", and the output gear “C” has 300 Teeth, Planet gears have 30 Teeth, the input is Arm “A”. Given that the input torque is 100 N.m., input speed of 1250 rpm and the efficiency of the gearbox is 70%. Calculate the number of teeth on the sun gear and the ratio of the gearbox. Also Calculate the Fixing Torque.
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Answer 1

•Planet Given data: -sun a lang) Annuler 20 Teelt planct gear output geal - 300 teeth Fixed sun gear greu. Input torque - 200 Nm Supert speed a 12.50 rpm The efficiency of the gearbox toy Radius of Annular Ring = Radine of sun gear t diameter planet gear R Annular Prunt + 2R planet Annular Tsun + 2 Tplanet 300 = Tsunt 2 (30) 300 = Tsun + 60 240 Tgun on sun gear - 240 tels. Number of teelte we know that -O O Tinput & Toutpect fixing

gran tren & Timpur XN + Toukpers & output = 0 imput 0.7 x 100 x 1200 + Toulput X2250 o (200)=0 8 7500 + Tousput Toutput = - 38.89 N-m therefore from 100 - 38.89 +T fixing co I fixing = -61.11 N-m