1. What is Gear Force?

Gear force (F) is the tangential force acting on the gear teeth, calculated as the ratio of applied torque to the pitch radius of the gear. It represents the force transmitted through the gear system.

2. How Does the Calculator Work?

The calculator uses the gear force formula:

Where:

• \( F \) — Gear force (N)
• \( Torque \) — Applied torque (Nm)
• \( r \) — Pitch radius of the gear (m)

Explanation: This formula calculates the tangential force at the pitch circle of a gear based on the input torque and gear radius.

3. Importance of Gear Force Calculation

Details: Accurate gear force calculation is essential for gear design, material selection, and ensuring proper power transmission in mechanical systems without gear tooth failure.

4. Using the Calculator

Tips: Enter torque in Newton-meters (Nm) and radius in meters (m). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for torque and radius?
A: Torque should be in Newton-meters (Nm) and radius in meters (m) for the result to be in Newtons (N).

Q2: How does gear radius affect the force?
A: For a given torque, a larger radius results in lower gear force, while a smaller radius produces higher gear force.

Q3: Is this formula applicable to all gear types?
A: This basic formula applies to spur gears and provides the tangential force component. Additional factors may be needed for other gear types.

Q4: What is the relationship between torque and gear force?
A: Gear force is directly proportional to torque and inversely proportional to radius. Higher torque or smaller radius increases gear force.

Q5: How is gear force used in mechanical design?
A: Gear force calculations help determine gear tooth strength requirements, bearing loads, and overall system durability.