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Gear Ratio Calculator

Gear Ratio Calculator

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

To Calculate:

Input Gear Teeth Number:

Ouput Gear Teeth Number:

Input Rotational Speed:

 

Input Torque:

 

Select Transmission:

Engine RPM:

Axle Ratio:

Tire Height (in):

Tire Width (mm):

Wheel Diameter (in):

Aspect Ratio (1-100):

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The Gear Ratio Calculator determines the gear ratio of the circumference and the vehicle’s speed in any gear and any engine RPM for the best performance. This enables you to know the relationship between the speed and torque in a mechanical system. We’ve integrated this calculator with the gear ratio formula to find out the ratio of the gear.

What is Gear?

A gear is a rotating mechanical component with teeth designed to transmit power and motion by meshing with other gears or toothed parts.

By using gears, you can change the rotational speed, direction, and torque that is applied to it.

What is Gear Ratio?

“The ratio between the rotational speed of the final and the initial gear”

The Gear ratio communicates the degree of speed alteration and the torque variation experienced by the output gear in the system. It enables you to know how fast your vehicle can go in each gear at different engine RPMs for top performance.

  • A high gear ratio will result in a slower speed but higher torque.
  • A low gear ratio will result in a higher speed but lower torque.

Gears

How To Calculate Gear Ratio?

Below are the gear ratio equations to calculate the gear ratio so, follow these for manual calculation.

Gear Ratio Equations:

Let’s have a look at the relative equations that you could use to calculate the gear ratio accurately.

Formula # 1:

The expression relates the circumference of the input gear to that of the output gear.

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

Formula # 2:

When only diameters is known:

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

Formula # 3:

When Radius is known:

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

Formula # 4:

When the circumference of Input and the circumference of Output number of Gear Teeth are taken into account:

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

Formula # 5:

For smooth running of the gear, the thickness of each tooth along with spacing must be the same. That is why we will vanish these parameters from the above equation:

Gear Ratio = Input Gear Teeth Number / Output Gear Teeth Number

Gear Ratio Example:

Suppose two-gear system in which the pinnion gear has 52 teeths and other ring gear consists of 14 teeths. So, find that what is the ratio between pinnion gear and ring gear.

Answer:

Gear Ratio = Input Number of Gear Teeth / Output Number of Gear Teeth

= 52 / 14

= 3.71:1

So, it is determined that 3.71:1 ratio is concluded for the number of teeth in which each gear needs to produce a desired output speed or torque.

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
42″ 1420 1529 1596 1669 1721 1778 1846 1940 2033 2137 2220 2371 2538 2668 2751 2798 2969 3208
43″ 1387 1493 1559 1630 1681 1737 1803 1894 1986 2087 2169 2316 2479 2606 2687 2733 2900 3134
44″ 1355 1459 1524 1593 1643 1698 1762 1851 1941 2040 2119 2263 2422 2545 2626 2670 2834 3063

Steps To Utilize The Calculator:

The gear ratio calculator finds the rate of mechanical advantage or disadvantage a gear train produces in the gear system.

Required Values:

For Simple Mode:

  • Enter input and output gear teeth number
  • Likewise, enter the rotational speed and torque
  • At the end, hit the calculate button

For Advanced Mode:

  • Enter the Engine RPM (Revolutions per minute), Axle Ratio, and Tire height in respective fields
  • Likewise, enter the Tire Width, Wheel Diameter, and Aspect Ratios in their designated fields
  • After you are done, hit the calculate button

Final Results:

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

Additional Querries:

What is a good gear ratio?

Normally, the gear ratio lower than 4.56 is considered better for smooth running of the gear, and thus the whole machine. If you want your ride to run without no knocking sound, then you should keep utilising this online gear ratio rpm calculator to keep an idea of your ride’s good performance.

Which gear ratio provides best fuel economy?

To drive heavier truck like vehicles, you must go for choosing a low gear ratio as 3.0, 3.23, or 3.31. But when it comes to the city cars, the axle ratio is not so affected by the MPG.