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anonymous
 4 years ago
Angular and Linear Velocity... A small gear of radius 5 cm is turning with an angular velocity of 20 radians per second. It drives a large gear of radius 15 cm. What is the linear velocity of the teeth on the large gear?
anonymous
 4 years ago
Angular and Linear Velocity... A small gear of radius 5 cm is turning with an angular velocity of 20 radians per second. It drives a large gear of radius 15 cm. What is the linear velocity of the teeth on the large gear?

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amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0linear velocity is how fast your going on the outer edge

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0we travel 2pi r, the circumference, in a given time span distance* time = speed

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0the 2 gears should be linearly the same

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.02pi/20 = pi/10 parts of the circumference per second, right?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.05*pi/10 = pi/2 per sec

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0that almost makes sense to me lol ...

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.02pi = 6. somehting so its moving quicker; i think i got my ration upside down

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I 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?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0i just cant recall the formulas so i gotta reinvent it :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The formula given says v=w(r), v being the linear velocity, w being angular, and r being the radius. Trig is kicking my butt.

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.06.3662 pi per second 2pi * n = 6.3662 pi n = 6.3662/2 = 3.1631 or thereabouts yeah; radius * angle swept out = distance travled

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.020 is the angle in rads so I guess 20*5 = 100 rads per second

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0both gears are traveling at the same linear speed; or else one would always be catching up to the other

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0they differe in angular speeds simply becasue they rotate differently; but linearly they are equal

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0they cover equal distances in the same aount of time on their edges

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Okay 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?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0you ever see a small dog trying to keep up with a larger one?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0if 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

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0:) insanity has its benefits lol

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So 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..

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.0yes, same linear velocity; the smaller wheel just has to turn around quicker to cover the same distance so its angle speed is faster
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