Gear Rack Ratio Calculator

Calculate Gear Rack Ratio (R)



Formula

The formula to calculate the Gear Rack Ratio (R) is:

\[ \text{R} = \frac{T}{2 \pi r} \]

Where:

Definition

Example

Let's say the number of teeth on the pinion gear (T) is 30 and the radius of the pinion gear (r) is 2 units. Using the formula:

\[ \text{R} = \frac{30}{2 \pi \times 2} = \frac{30}{12.5664} \approx 2.3873 \]

So, the gear rack ratio (R) is approximately 2.3873.

Extended information about "Gear-Rack-Ratio-Calculator"

Rack and Gear Calculation

Definition: Rack and gear calculation involves determining the linear distance a rack moves per rotation of the pinion gear.

Formula: \( \text{Linear Distance} = \frac{N_{teeth}}{P_{c}} \times \pi \times D \)

Example: \( \text{Linear Distance} = \frac{20}{3.14} \times \pi \times 0.1 \)

Calculator for Gear Ratio

Formula: \( \text{Gear Ratio} = \frac{N_{driven}}{N_{driver}} \)

Example: \( \text{Gear Ratio} = \frac{40}{20} \)

Overall Gear Ratio Calculator

Formula: \( \text{Overall Gear Ratio} = \frac{N_{driven1}}{N_{driver1}} \times \frac{N_{driven2}}{N_{driver2}} \)

Example: \( \text{Overall Gear Ratio} = \frac{40}{20} \times \frac{30}{10} \)

Rack and Pinion Gear Ratio Calculator

Formula: \( \text{Gear Ratio} = \frac{N_{rack}}{N_{pinion}} \)

Example: \( \text{Gear Ratio} = \frac{100}{20} \)

Truck Gear Ratio Calculator

Formula: \( \text{Gear Ratio} = \frac{N_{driven}}{N_{driver}} \)

Example: \( \text{Gear Ratio} = \frac{50}{10} \)