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Gear Ratio Calculator

Enter the values to calculate the gear ratio of gears based on their tooth count

To Calculate:

Advance Simple

Input Gear Teeth Number:

Ouput Gear Teeth Number:

Input Rotational Speed:

rpm ▾

Input Torque:

Nm ▾

Select Transmission:

Axle Ratio:

Engine RPM:

Tire Width (in):

Tire Height (mm):

Wheel Diameter (in):

Gear Ratio (1-100):

Related

The Gear Ratio Calculator determines the gear ratio, helping you understand the relationship between rotational speed and torque in a mechanical system. It also calculates vehicle speed in any gear for a given engine RPM, optimizing performance and efficiency.

What is a Gear?

A gear is a rotating mechanical component with teeth designed to transmit power and motion by meshing with other gears or toothed parts. Gears allow you to change rotational speed, torque, and direction in a mechanical system.

What is Gear Ratio?

"The ratio between the rotational speed of the input and output gear."

The gear ratio describes how speed and torque change between the input and output gears in a system. Gear ratios help determine vehicle speed at various engine RPMs and optimize torque for performance.

A high gear ratio results in slower speed but higher torque.
A low gear ratio results in higher speed but lower torque.

Gears

How to Calculate Gear Ratio?

Gear ratio can be calculated using different formulas depending on the known parameters:

Gear Ratio Formulas:

1. Using circumference:

Gear Ratio = (π × Diameter of Input Gear) / (π × Diameter of Output Gear)

2. Using diameters only:

Gear Ratio = Diameter of Input Gear / Diameter of Output Gear

3. Using radii:

Gear Ratio = Radius of Input Gear / Radius of Output Gear

4. Using teeth count and spacing:

Gear Ratio = (Input Gear Teeth × (Gear Thickness + Teeth Spacing)) / (Output Gear Teeth × (Gear Thickness + Teeth Spacing))

5. Simplified teeth count method:

If all teeth have uniform thickness and spacing, the formula simplifies to:

Gear Ratio = Input Gear Teeth / Output Gear Teeth

Gear Ratio Example:

Suppose a two-gear system where the pinion gear has 52 teeth and the ring gear has 14 teeth. Using the simplified formula:

Gear Ratio = Input Gear Teeth / Output Gear Teeth = 52 / 14 ≈ 3.71:1

This means the input gear must rotate 3.71 times to rotate the output gear once, balancing speed and torque for optimal performance.

Gear Ratio Chart:

DIAMETER	GEAR RATIO
25"	2385	2568	2682	2804	2892	2988	3101	3259	3416	3590	3730	3984	4263	4482	4621	4700	4988	5390
26"	2293	2470	2579	2696	2780	2873	2982	3133	3284	3452	3587	3830	4099	4309	4444	4519	4796	5183
27"	2208	2378	2483	2597	2677	2766	2872	3017	3163	3325	3454	3689	3947	4150	4279	4352	4619	4991
28"	2129	2293	2395	2504	2582	2668	2769	2909	3050	3206	3331	3557	3806	4001	4126	4196	4454	4813
29"	2056	2214	2312	2417	2493	2576	2674	2809	2945	3095	3216	3434	3675	3863	3984	4052	4300	4647
30"	1987	2140	2235	2337	2410	2490	2584	2715	2846	2992	3109	3320	3553	3735	3851	3917	4157	4492
31"	1923	2071	2163	2261	2332	2409	2501	2628	2755	2896	3008	3213	3438	3614	3727	3790	4023	4347
32"	1863	2007	2095	2191	2259	2334	2423	2546	2669	2805	2914	3112	3331	3501	3610	3672	3897	4211
33"	1807	1946	2032	2124	2191	2263	2349	2469	2588	2720	2826	3018	3230	3395	3501	3561	3779	4083
34"	1754	1889	1972	2062	2126	2197	2280	2396	2512	2640	2743	2929	3135	3295	3398	3456	3668	3963
35"	1704	1835	1916	2003	2065	2134	2215	2328	2440	2565	2664	2845	3045	3201	3301	3357	3563	3850
36"	1656	1784	1862	1947	2008	2075	2154	2263	2372	2493	2590	2766	2961	3112	3209	3264	3464	3743
37"	1611	1735	1812	1895	1954	2019	2095	2202	2308	2426	2520	2692	2881	3028	3123	3176	3370	3642
38"	1569	1690	1764	1845	1902	1966	2040	2144	2247	2362	2454	2621	2805	2948	3040	3092	3282	3546
39"	1529	1646	1719	1798	1854	1915	1988	2089	2190	2302	2391	2554	2733	2873	2962	3013	3198	3455
40"	1491	1605	1676	1753	1807	1867	1938	2037	2135	2244	2331	2490	2664	2801	2888	2937	3118	3369
41"	1454	1566	1635	1710	1763	1822	1891	1987	2083	2189	2275	2492	2599	2733	2818	2866	3042	3287

Steps to Use the Gear Ratio Calculator

The gear ratio calculator helps determine the mechanical advantage or disadvantage provided by a gear train in a gear system.

Required Values

Simple Mode:

Enter the number of teeth for the input and output gears.
Enter the rotational speed and torque.
Click the Calculate button to get results.

Advanced Mode:

Enter Engine RPM (Revolutions per Minute), Axle Ratio, and Tire Height.
Enter Tire Width, Wheel Diameter, and Aspect Ratio.
Click the Calculate button to get results.

Final Results

Gear ratio
Mechanical advantage
Rotational speed and torque of the gear axle
Width and height of the tire
Miles Per Hour (MPH) for the gear speed

Additional Queries

What is a good gear ratio?

Generally, a gear ratio lower than 4.56 is considered ideal for smooth operation of a gear system and vehicle. Using this online gear ratio calculator helps maintain optimal performance and reduces knocking sounds.

Which gear ratio provides the best fuel economy?

For heavier vehicles such as trucks, a lower gear ratio like 3.0, 3.23, or 3.31 is preferred to improve efficiency and control. For lighter city cars, the axle ratio has less impact on fuel economy.

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