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Why is a gearbox geared this way?

Posted: Wed Feb 13, 2013 10:33 am
by Thenior
Move to other forum if this isn't the best one.

Look at this image:

Image

Though it's not to scale, hopefully it conveys the idea. Why does this gearbox have these series of motors, instead of just going straight from a small gear on the motor shaft to a big one on the axle?

Re: Why is a gearbox geared this way?

Posted: Wed Feb 13, 2013 11:56 am
by snoopy
Each stage provides more reduction.

Let's say that the motor (and the small shafts) has a diameter of 1, the large gears have a diameter of 2, and the big one on the axle has a diameter of 3.

If the motor directly drove the large gear on the axle, you would get 3:1 reduction - or a torque multiplication of 3.
As shown you get a reduction of 2*2*2*3:1 = 24:1.

Generally speaking, motors usually have a higher speed and lower torque than what you really need, especially as you go down in scale.

Re: Why is a gearbox geared this way?

Posted: Wed Feb 13, 2013 12:40 pm
by Grendel
Trying to avoid gears that are very small or very large & creating places where gears can be shifted. I'm sure there are more reasons.

Re: Why is a gearbox geared this way?

Posted: Wed Feb 13, 2013 1:42 pm
by Isaac
snoopy wrote:Each stage provides more reduction.

Let's say that the motor (and the small shafts) has a diameter of 1, the large gears have a diameter of 2, and the big one on the axle has a diameter of 3.

If the motor directly drove the large gear on the axle, you would get 3:1 reduction - or a torque multiplication of 3.
As shown you get a reduction of 2*2*2*3:1 = 24:1.

Generally speaking, motors usually have a higher speed and lower torque than what you really need, especially as you go down in scale.
tl;dr: Torque

op wrote:Though it's not to scale, hopefully it conveys the idea. Why does this gearbox have these series of motors, instead of just going straight from a small gear on the motor shaft to a big one on the axle?
Saves space. Small gears can be set to conform to limited space. One big conversion would require a big ass disk. Source: Legos and Erector Sets.