Acceleration between gears

VicMackie

Say we have a gearing system of the ratio 4:1 is the acceleration of the smaller gear 4 times greater than the acceleration of the larger gear or do they both accelerate in the same way or is it a completely different more complex relationship? Thank you in advance for any help.

grindfreak

I believe the definition is that the gear ratio is the ratio of the angular velocities of both gears (input over output). So the angular velocity of the input is 4 times that of the output in your example and since they would accelerate in step, I believe the ratio would apply to angular accelerations as well.

*OldEngr63*

grindfreak is correct; the gear ratio gives the ratio of angular displacements, or angular velocities, or angular accelerations, however you want to look at it.

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VicMackie	Acceleration between gears Tweet Say we have a gearing system of the ratio 4:1 is the acceleration of the smaller gear 4 times greater than the acceleration of the larger gear or do they both accelerate in the same way or is it a completely different more complex relationship? Thank you in advance for any help.

grindfreak	I believe the definition is that the gear ratio is the ratio of the angular velocities of both gears (input over output). So the angular velocity of the input is 4 times that of the output in your example and since they would accelerate in step, I believe the ratio would apply to angular accelerations as well.

OldEngr63	grindfreak is correct; the gear ratio gives the ratio of angular displacements, or angular velocities, or angular accelerations, however you want to look at it.