Epicyclic gearing - Revision history

Red marquis: /* See also */

2010-02-09T06:59:09Z

Red marquis: /* See also */

2010-02-09T06:53:11Z

Red marquis: /* Gear ratio */

2010-02-09T06:51:29Z

Gear ratio

← Older revision		Revision as of 06:51, 9 February 2010
Line 28:		Line 28:
	:<math>(2+n)\omega_{\rm a} + n\omega_{\rm s} - 2(1+n)\omega_{\rm c} = 0</math>		:<math>(2+n)\omega_{\rm a} + n\omega_{\rm s} - 2(1+n)\omega_{\rm c} = 0</math>

	where n is the [[form factor]] of the planetary gear, defined by:		where n is the form factor of the planetary gear, defined by:
	:<math>n = {N_{\rm s} \over N_{\rm p}}</math>		:<math>n = {N_{\rm s} \over N_{\rm p}}</math>

	If the annulus is held stationary and the sun gear is used as the input, the planet carrier will be the output. The gear ratio in this case will be 1/(1+''A''/''S''). This is the lowest gear ratio attainable with an epicyclic gear train. This type of gearing is sometimes used in [[tractors]] and construction equipment to provide high torque to the drive wheels.		If the annulus is held stationary and the sun gear is used as the input, the planet carrier will be the output. The gear ratio in this case will be 1/(1+''A''/''S''). This is the lowest gear ratio attainable with an epicyclic gear train. This type of gearing is sometimes used in tractors and construction equipment to provide high torque to the drive wheels.

	In bicycle [[hub gear]]s, the sun is usually stationary, being keyed to the axle or even machined directly onto it. In this case the gear ratio is simply given by (S+A)/A where S is the number of teeth on the sun and A is the number of teeth on the annulus. The number of planet teeth is irrelevant.		In bicycle [[hub gear]]s, the sun is usually stationary, being keyed to the axle or even machined directly onto it. In this case the gear ratio is simply given by (S+A)/A where S is the number of teeth on the sun and A is the number of teeth on the annulus. The number of planet teeth is irrelevant.

Red marquis at 06:48, 9 February 2010

2010-02-09T06:48:49Z

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2010-02-09T06:00:16Z

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← Older revision		Revision as of 06:59, 9 February 2010
Line 74:		Line 74:
	*[[Continuously variable transmission]] (CVT)		*[[Continuously variable transmission]] (CVT)
	*[[Cycloidal drive]]		*[[Cycloidal drive]]
	*[[Epicycloid]]
	*[[Ford Model T]]		*[[Ford Model T]]
	*[[NuVinci]] gearing		*[[NuVinci]] gearing

← Older revision		Revision as of 06:53, 9 February 2010
Line 71:		Line 71:

	==See also==		==See also==
	~~{{Commons category\|Planetary gearing}}~~
	*[[Continuously variable transmission]] (CVT)		*[[Continuously variable transmission]] (CVT)
	*[[Cycloidal drive]]		*[[Cycloidal drive]]
Line 78:		Line 78:
	*[[NuVinci]] gearing		*[[NuVinci]] gearing
	*[[Ravigneaux planetary gearset]]		*[[Ravigneaux planetary gearset]]


	==External links==		==External links==