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linear velocity is how fast your going on the outer edge
we travel 2pi r, the circumference, in a given time span distance* time = speed
the 2 gears should be linearly the same
2pi/20 = pi/10 parts of the circumference per second, right?
5*pi/10 = pi/2 per sec
that almost makes sense to me lol ...
2pi = 6. somehting so its moving quicker; i think i got my ration upside down
I got a linear velocity for the large gear of 300 cm per second when I used the equation using angular velocity of the small gear... I think I'm doing it correctly but I'm really not sure?
i just cant recall the formulas so i gotta reinvent it :)
The formula given says v=w(r), v being the linear velocity, w being angular, and r being the radius. Trig is kicking my butt.
6.3662 pi per second 2pi * n = 6.3662 pi n = 6.3662/2 = 3.1631 or thereabouts yeah; radius * angle swept out = distance travled
20 is the angle in rads so I guess 20*5 = 100 rads per second
both gears are traveling at the same linear speed; or else one would always be catching up to the other
they differe in angular speeds simply becasue they rotate differently; but linearly they are equal
they cover equal distances in the same aount of time on their edges
Okay okay that makes a lot more sense now. But the angular speed changes because the distance the gear covers is different for different sizes? Is that correct?
you ever see a small dog trying to keep up with a larger one?
if they cover the same distance in the same amount of time they are linearly equal; but the smaller one has to move alot faster becasue of its size; they are angularly different
That helps a lot!
:) insanity has its benefits lol
So would a drive and wheel sprocket and wheel work the same way? They are connected by a chain, so they would all have the same linear velocity as well..
yes, same linear velocity; the smaller wheel just has to turn around quicker to cover the same distance so its angle speed is faster