Bicycle Gain Ratio Calculator

Gain Ratio Formula:

\[ Gain = \frac{\text{Crank Length}}{\text{Wheel Radius}} \times \text{Gear Ratio} \]

Gain Ratio:

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1. What is the Bicycle Gain Ratio?

The Bicycle Gain Ratio is a measure of mechanical advantage in bicycle gearing systems. It represents the relationship between the input force at the pedals and the output force at the wheel, taking into account crank length, wheel radius, and gear ratio.

2. How Does the Calculator Work?

The calculator uses the Gain Ratio formula:

\[ Gain = \frac{\text{Crank Length}}{\text{Wheel Radius}} \times \text{Gear Ratio} \]

Where:

\( Crank Length \) — Length of the bicycle crank arm (mm)
\( Wheel Radius \) — Radius of the bicycle wheel (mm)
\( Gear Ratio \) — Ratio of front chainring teeth to rear cog teeth (dimensionless)

Explanation: The formula calculates how much mechanical advantage the rider gets from the bicycle's drivetrain system.

3. Importance of Gain Ratio Calculation

Details: Understanding gain ratio helps cyclists optimize their gear setup for different riding conditions, improve pedaling efficiency, and reduce fatigue. It's particularly important for competitive cycling and long-distance riding.

4. Using the Calculator

Tips: Enter crank length and wheel radius in millimeters, and gear ratio as a dimensionless value. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical gain ratio range for bicycles?
A: Most bicycles have gain ratios between 3.5 and 8.5, with higher values providing more mechanical advantage for climbing or accelerating.

Q2: How does gain ratio differ from gear inches?
A: Gain ratio considers crank length, while gear inches don't. This makes gain ratio a more complete measure of mechanical advantage.

Q3: Why is crank length important in the calculation?
A: Longer cranks provide more leverage but require a wider pedaling circle. The gain ratio accounts for this trade-off.

Q4: How does wheel size affect the gain ratio?
A: Larger wheels require more force to turn but cover more distance per revolution. The gain ratio helps balance these factors.

Q5: Can I use this calculator for different types of bicycles?
A: Yes, this calculator works for road bikes, mountain bikes, hybrid bikes, and any other bicycle type with standard gearing systems.