1. What is Gear Speed Ratio?

Definition: Gear speed ratio (GSR) is the ratio of the driven gear's size to the drive gear's size, determining the rotational speed relationship between them.

Purpose: It helps mechanical engineers and designers understand how gears will interact in a system and predict output speeds.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( GSR \) — Gear speed ratio (unitless)
• \( D_{driven} \) — Driven gear teeth count or diameter
• \( D_{drive} \) — Drive gear teeth count or diameter

Explanation: The ratio compares the size of the driven gear to the drive gear. A ratio > 1 indicates speed reduction, while < 1 indicates speed increase.

3. Importance of Gear Speed Ratio

Details: Proper gear ratio calculation ensures correct torque and speed transmission in mechanical systems, from simple machines to complex automotive transmissions.

4. Using the Calculator

Tips: Enter either the teeth count or diameter for both gears. Both values must be > 0. The units must be consistent (both in teeth or both in diameter).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between teeth count and diameter?
A: Both can be used - teeth count is more precise for gear design, while diameter works for pulley systems. Just be consistent.

Q2: What does a ratio of 2:1 mean?
A: It means the driven gear rotates at half the speed of the drive gear but with twice the torque.

Q3: Can I use this for chain and sprocket systems?
A: Yes, the same principle applies to any rotational system with linked components.

Q4: How does this relate to actual RPM?
A: Output RPM = Input RPM / GSR. A higher ratio means lower output speed.

Q5: What's a typical gear ratio range?
A: Common ratios range from 1:10 to 10:1, depending on application requirements.