00:01
We'd like to calculate the number of teeth in contact and the angular speed.
00:06
Okay, so i've written all of our givens at the top, as well as calculated our gear ratio, t to t, a radius of our pinion and a radius of our gear.
00:18
So let's first find the number of teeth in contact.
00:22
So for an addendum, our circle, we have ra equal to r plus aw, which is 116 millimeters.
00:32
For our pin in, ra is equal to 80 plus 6, which is just 86 millimeters.
00:40
Our path of our contact, so i'll just say our contact path, is equal to the square root of ra squared minus r squared cosine squared of phi, minus r sine of phi, plus the square root of ra squared, minus r squared, cosine squared of phi, minus r sine of phi, minus r sine of phi.
01:05
So plugging in all of our values, we get 29 .4 millimeters.
01:11
Now, the arc of our contact is equal to our path of our contact, 29 .4, divided by our cosine of of phi term, which we get to be 31 .3...