Wheel Size and Speed Calculator

How It Works

User Inputs:

1. Wheel Diameter (in inches): The size of the wheel, affecting the vehicle’s travel distance per revolution.
2. RPM (Revolutions per Minute): The number of times the wheel rotates in one minute, based on engine speed.
3. Gear Selection (1st to 5th Gear): Determines how power is transmitted from the engine to the wheels.

Calculation Formula

The speed of the vehicle is calculated using the following formula:

Speed (mph)=Circumference×RPM×60Gear Ratio×12×5280\text{Speed (mph)} = \frac{\text{Circumference} \times \text{RPM} \times 60}{\text{Gear Ratio} \times 12 \times 5280}Speed (mph)=Gear Ratio×12×5280Circumference×RPM×60​

Where:

• Circumference is the wheel diameter multiplied by π (pi), measured in inches: $$\text{Circumference}=\pi \times \text{Wheel Diameter}$$
• RPM (Revolutions Per Minute): The number of times the wheel rotates per minute.
• Gear Ratio: The selected transmission gear, which affects the output speed.
• Conversion Factors:
  • 12 inches per foot
  • 5280 feet per mile
  • 60 minutes per hour

This formula considers both wheel rotation and transmission gear ratio to provide an estimated vehicle speed in miles per hour (mph).

Use Cases

This calculator can be used in various scenarios, including:

✅ Automotive Engineering & Tuning

• Estimating vehicle speed based on engine RPM and transmission gear.
• Comparing different gear ratios to optimize performance.

✅ Motorsports & Racing

• Analyzing how different wheel sizes and gear selections affect speed on the track.
• Determining the ideal gear ratio for acceleration and top speed.

✅ Off-Road & Modifications

• Assessing the impact of larger or smaller wheels on vehicle speed.
• Understanding how transmission changes affect drivability.

✅ Educational Purposes

• Learning how gear ratios influence vehicle speed.
• Understanding mechanical relationships between wheel size, RPM, and speed.