00:01
Gear ratio g is given by p by tau that is 3 by 1 is equals to 3, addendum of wheel is equals to addendum of pinion that is equals to aw equals to ag equals to 1 module 6 millimetre.
00:26
Now, pressure angle phi is equals to 20 degree, speed of pinion np is equals to 90 rpm, at angular speed of pinion omega p is equals to 2 pi 90 divided by 60 that is 9 .43 radian per second.
00:43
Now, to avoid interference the formula for minimum number of teeth on pinion t is equals to 2 ap divided by root over 1 plus g, g plus 2 sin square phi minus 1.
01:01
Putting in the values we have 2 times 6 divided by 1 plus 3, 3 plus 2 sin square 20 minus 1.
01:12
This gives us the value of t is equals to 18 .2 or approximately equals to 19 teeth.
01:16
Now, the corresponding number of the teeth on the wheel g is equals to t by t that is t is equals to g into t that is 3 into 19 is equals to 57 teeth on the wheel.
01:36
Length of the path and arc of contact, here we get the pitch circle radius for pinion r is equals to mt by 2 that is 6 times 19 by 2 that is 57 millimetre.
01:48
Radius of addendum circle of pinion ra is equals to r plus ap is equals to 57 plus 6 that is 63 millimetre.
02:07
The pitch circle radius for wheel capital r is equals to mt by 2 that is 6 times 57 by 2 that is 171 millimetre.
02:17
Radius of addendum circle of wheel rw is equals to r plus aw that is 171 plus 6 that is 177 millimetre.
02:35
The path of approach kp is equals to ra square minus r square cos square 5 is minus r sin 5...