If the pitch expressed in module is 5 mm and the pitch line speed is 1.2 m/s, assuming addendum as standard and equal to one module, find:

1.The angle turn through by pinion when one pair of teeth is in mesh; and

2.The maximum velocity of sliding.

Subject: Kinematics of Machinery

Topic: Gears and Gear Trains

Difficulty: High

Given $\phi=20^{\circ}$; t=20; G=T/t=2; m=5mm; v=1.2m/s; addendum=1 modul=5mm

1. Angle turned through by pinion when one pair of teeth is in mesh

We know that pitch circle radius of pinion,

r=mt/2=5\times 20 / 2 =50 mm

and pitch circle radius of wheel,

R=mt/2=m.G.t/2=5 2 20 /2 =100 mm

Radius of …