Gear ratio - Revision history

Red marquis: /* External links */

2009-09-27T19:01:55Z

External links

← Older revision		Revision as of 19:01, 27 September 2009
Line 122:		Line 122:
	*[http://www.perfectshifting.com "PerfectShifting"] - an applet that can calculate the theoretical speed at a certain rpm/gear		*[http://www.perfectshifting.com "PerfectShifting"] - an applet that can calculate the theoretical speed at a certain rpm/gear

	[[Category:~~Transmission~~]]		[[Category:Transmissions]]
	[[Category:Gears]]		[[Category:Gears]]

Red marquis: /* General description */

2009-09-27T18:59:56Z

General description

← Older revision		Revision as of 18:59, 27 September 2009
Line 20:		Line 20:

	[[Image:Gearratiomathequation3.jpg]]<br>		[[Image:Gearratiomathequation3.jpg]]<br>
	and so		and so<br>
	[[Image:Gearratiomathequation4.jpg]]		[[Image:Gearratiomathequation4.jpg]]<br>
	In other words, the gear ratio is proportional to ratio of the gear diameters and inversely proportional to the ratio of gear speeds.		In other words, the gear ratio is proportional to ratio of the gear diameters and inversely proportional to the ratio of gear speeds.

Line 59:		Line 59:

	For example, it is possible to determine the distance the car will travel for one revolution of the engine by dividing the circumference of the tire by the combined gear ratio of the transmission and differential.		For example, it is possible to determine the distance the car will travel for one revolution of the engine by dividing the circumference of the tire by the combined gear ratio of the transmission and differential.
			<br>
	[[Image:Gearratiomathequation5.jpg~~\|left~~]]		[[Image:Gearratiomathequation5.jpg]]
			<br>
	It is possible to determine a car’s speed from the engine speed by multiplying the circumference of the tire by the engine speed and dividing by the combined gear ratio.		It is possible to determine a car’s speed from the engine speed by multiplying the circumference of the tire by the engine speed and dividing by the combined gear ratio.
			<br>
	[[Image:Gearratiomathequation6.jpg~~\|left~~]]		[[Image:Gearratiomathequation6.jpg]]
			<br>
	{\| border="1" class="wikitable"		{\| border="1" class="wikitable"
	!Gear!!Inches per engine revolution!!Speed per 1000 RPM		!Gear!!Inches per engine revolution!!Speed per 1000 RPM

Red marquis: /* General description */

2009-09-27T18:59:06Z

General description

← Older revision		Revision as of 18:59, 27 September 2009
Line 19:		Line 19:


	[[Image:Gearratiomathequation3.jpg~~\|left~~]]<br>		[[Image:Gearratiomathequation3.jpg]]<br>
	and so		and so
	[[Image:Gearratiomathequation4.jpg~~\|left~~]]		[[Image:Gearratiomathequation4.jpg]]
	In other words, the gear ratio is proportional to ratio of the gear diameters and inversely proportional to the ratio of gear speeds.		In other words, the gear ratio is proportional to ratio of the gear diameters and inversely proportional to the ratio of gear speeds.

Red marquis at 18:58, 27 September 2009

2009-09-27T18:58:41Z

← Older revision		Revision as of 18:58, 27 September 2009
Line 12:		Line 12:
	Since the number of teeth is also proportional to the circumference of the gear wheel (the bigger the wheel the more teeth it has) the gear ratio can also be expressed as the relationship between the circumferences of both wheels (where d is the diameter of the smaller wheel and D is the diameter of the larger wheel):		Since the number of teeth is also proportional to the circumference of the gear wheel (the bigger the wheel the more teeth it has) the gear ratio can also be expressed as the relationship between the circumferences of both wheels (where d is the diameter of the smaller wheel and D is the diameter of the larger wheel):

	[[Image:Gearratiomathequation1.jpg~~\|left~~]]		[[Image:Gearratiomathequation1.jpg]]
	<br>		<br>
	Since the diameter is equal to twice the radius;<br>		Since the diameter is equal to twice the radius;<br>
	[[Image:Gearratiomathequation2.jpg~~\|left~~]]<br>		[[Image:Gearratiomathequation2.jpg]]<br>
	as well.<br>		as well.<br>

Red marquis: /* General description */

2009-09-27T18:58:12Z

General description

← Older revision		Revision as of 18:58, 27 September 2009
Line 13:		Line 13:

	[[Image:Gearratiomathequation1.jpg\|left]]		[[Image:Gearratiomathequation1.jpg\|left]]
			<br>
			Since the diameter is equal to twice the radius;<br>
			[[Image:Gearratiomathequation2.jpg\|left]]<br>
			as well.<br>

	~~Since the diameter is equal to twice the radius;~~
	~~[[Image:Gearratiomathequation2.jpg\|left]]~~
	~~as well.~~
	~~<br style="clear:both;" />~~

	[[Image:Gearratiomathequation3.jpg\|left]]		[[Image:Gearratiomathequation3.jpg\|left]]<br>
	and so		and so
	[[Image:Gearratiomathequation4.jpg\|left]]		[[Image:Gearratiomathequation4.jpg\|left]]

Red marquis at 18:57, 27 September 2009

2009-09-27T18:57:21Z

← Older revision		Revision as of 18:57, 27 September 2009
Line 12:		Line 12:
	Since the number of teeth is also proportional to the circumference of the gear wheel (the bigger the wheel the more teeth it has) the gear ratio can also be expressed as the relationship between the circumferences of both wheels (where d is the diameter of the smaller wheel and D is the diameter of the larger wheel):		Since the number of teeth is also proportional to the circumference of the gear wheel (the bigger the wheel the more teeth it has) the gear ratio can also be expressed as the relationship between the circumferences of both wheels (where d is the diameter of the smaller wheel and D is the diameter of the larger wheel):

	~~<math>gr = \frac{\pi d}{\pi D} = \frac{d}{D}</math>~~		[[Image:Gearratiomathequation1.jpg\|left]]

	Since the diameter is equal to twice the radius;		Since the diameter is equal to twice the radius;
	~~<math>gr = \frac{d}{D} = \frac{2r}{2R} = \frac{r}{R}</math>~~		[[Image:Gearratiomathequation2.jpg\|left]]
	as well.		as well.
	<br style="clear:both;" />		<br style="clear:both;" />

	~~<math>v_d = v_D \rightarrow \omega_d r = \omega_D R \rightarrow \frac{r}{R} = \frac{\omega_D}{\omega_d}</math>~~		[[Image:Gearratiomathequation3.jpg\|left]]
	and so		and so
	~~<math>gr = \frac{\omega_D}{\omega_d}</math>~~		[[Image:Gearratiomathequation4.jpg\|left]]
	In other words, the gear ratio is proportional to ratio of the gear diameters and inversely proportional to the ratio of gear speeds.		In other words, the gear ratio is proportional to ratio of the gear diameters and inversely proportional to the ratio of gear speeds.

Line 60:		Line 60:
	For example, it is possible to determine the distance the car will travel for one revolution of the engine by dividing the circumference of the tire by the combined gear ratio of the transmission and differential.		For example, it is possible to determine the distance the car will travel for one revolution of the engine by dividing the circumference of the tire by the combined gear ratio of the transmission and differential.

	~~<math> d = \frac{c_t}{gr_t \times gr_d}</math>~~		[[Image:Gearratiomathequation5.jpg\|left]]

	It is possible to determine a car’s speed from the engine speed by multiplying the circumference of the tire by the engine speed and dividing by the combined gear ratio.		It is possible to determine a car’s speed from the engine speed by multiplying the circumference of the tire by the engine speed and dividing by the combined gear ratio.

	~~<math> v_c = \frac{c_t \times v_e}{gr_t \times gr_d}</math>~~		[[Image:Gearratiomathequation6.jpg\|left]]

	{\| border="1" class="wikitable"		{\| border="1" class="wikitable"

Red marquis at 18:37, 27 September 2009

2009-09-27T18:37:58Z

Show changes

Red marquis at 17:59, 27 September 2009

2009-09-27T17:59:43Z

New page

{{Special Status Make IntroBox |
|Image = (insert logo here)
|Status = On Hiatus
}}
<noinclude>
'''THESE ARE THE MASTER CODES FOR THE INTROBOX TEMPLATE OF MANUFACTURERS "''ON HIATUS''". IT IS CONSEQUENTLY ONLY ACCESSIBLE BY MEMBERS.'''
[[Category:Templates|{{PAGENAME}}]]
</noinclude>