# Gear Ratio Calculator

Using the Gear Ratio Calculator, determine the mechanical advantage a two-gear system produces in a machine. To compute the gear ratio, enter the inputs such as input and output tooth numbers into the appropriate input areas and click the calculate button.

Input gear teeth number
Output gear teeth number
Gear ratio
:1
Input rotational speed
Output rotational speed
Input torque
Output torque

Gear Ratio Calculator: Using our simple Gear Ratio Calculator, you can save the headache of calculating gear ratio and its impacts, such as torque and rotational speed. Get a sense of how much a system's output gear is sped up or slowed down, and how much torque is lost or gained. Continue reading to discover about the Gear Ratio Equation, how to calculate it, and why it's important in machine design.

## What is Gear?

A gear is a toothed wheel with the ability to change the torque, direction, speed, and rotational movement applied to it, among other things. Gears come in a variety of sizes and shapes, and they are used to translate or transfer rotational action. When two or more gears in a system mesh together, movement is transferred, and the system of gears is referred to as a gear train.

### What is the Gear Ratio, and how do you calculate it?

In a gear train, the gear ratio is the ratio of the circumferences of the input and output gears. Gear Ratio will determine how many teeth each gear requires to achieve the necessary angular velocity, torque, or speed.

• Gear Ratio = (π x diameter of input gear)/(π x diameter of output gear) is a formula for expressing the gear ratio.
• Gear Ratio = (diameter of input gear)/(diameter of output gear)
• Gear Ratio = radius of input gear/radius of the output gear

We can use the same method by looking at the number of teeth. It's the same as calculating the circumference of gears. The circumference of the gear can be calculated by multiplying the sum of tooth thickness and spacing between teeth by the number of teeth in the gear.

Gear Ratio = (input gear teeth number x (gear thickness + teeth spacing)) / (output gear teeth number x (gear thickness + teeth spacing))

Gear and Thickness To engage the gears smoothly, the train's spacing must be the same. If we ignore the Gear Thickness and Teeth Spacing, we get the following equation. Gear Ratio = input gear teeth number / output gear teeth number

### How do you calculate the Gear Ratio?

To find out the gear ratio, do the following steps

• Step 1: Determine the number of teeth or diameter of the first (driving) gear.
• Step 2:Determine the number of teeth or diameter of the second (driving) gear.
• Step 3:To calculate the gear ratio, multiply the number of the driving gear by the number of the driven gear.
• Step 4:You may also calculate the gear ratio by dividing the first gear's speed by the second gear's speed.

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

### How to use the Gear Ratio Calculator?

The following is the procedure how to use the gear ratio calculator

• Step 1: Enter the unknown value of input and output tooth numbers and x in the appropriate input fields.
• Step 2: To acquire the result, click the "Calculate the Unknown" button.
• Step 3: Finally, the output field will show the gear ratio value.

### FAQs on Gear Ratio Calculator

1. What exactly is a gear?

When a circular machine part meshes with its counterpart, it transmits torque. Gears are a necessary component of any machine having moving parts, such as a wristwatch or a car.

2. What are the various kinds of gears?

Depending on the angle of power transmission, many types of gear exist. Spur, helical, herringbone, and planetary gears are examples of parallel transmission gears. Perpendicular transmission is accomplished with bevel and spiral bevel gears.

3. What is the ratio of gears?

The circumference of two gears that are to mesh together for power transmission is specified as the gear ratio. This parameter controls whether or not the quantity of power transmitted grows or decreases.

4. Does the gear ratio have an impact on horsepower?

The horsepower will not change when the gear ratio is changed. When the gear ratio is changed, the RPM and torque will vary, but not the horsepower.

5. Which gear ratio is the quickest?

A higher (shorter) gear ratio provides faster acceleration, while a lower (taller) gear ratio delivers a higher top speed. There is a gear in the rear differential in addition to the transmission gears. The final drive, differential gear, Crown Wheel Pinion (CWP), or ring and pinion are all terms for the same thing.