Tangential Force On Gear Given Torque And Pitch Circle Diameter Calculator

Formula Used:

\[ \text{Tangential Force on Spur Gear} = \frac{2 \times \text{Torque Transmitted by Spur Gear}}{\text{Pitch Circle Diameter of Spur Gear}} \]

Tangential Force on Spur Gear:

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1. What is Tangential Force on Spur Gear?

Tangential Force on Spur Gear is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference. It represents the effective force that contributes to the rotational motion of the gear.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Tangential Force} = \frac{2 \times \text{Torque}}{\text{Pitch Circle Diameter}} \]

Where:

Torque — Torque transmitted by spur gear (N·m)
Pitch Circle Diameter — Diameter of the pitch circle of the gear (m)

Explanation: This formula calculates the tangential force acting on a spur gear based on the transmitted torque and the pitch circle diameter of the gear.

3. Importance of Tangential Force Calculation

Details: Calculating tangential force is crucial for gear design, stress analysis, and ensuring proper power transmission in mechanical systems. It helps determine the load capacity and durability of gear systems.

4. Using the Calculator

Tips: Enter torque in Newton-meters (N·m) and pitch circle diameter in meters (m). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between torque and tangential force?
A: Tangential force is directly proportional to torque and inversely proportional to the pitch circle radius (or diameter).

Q2: Why is pitch circle diameter important in gear calculations?
A: The pitch circle diameter determines the gear's effective size and is fundamental to calculating various gear parameters including tangential force.

Q3: Can this formula be used for other types of gears?
A: While the basic principle applies, different gear types may have specific formulas that account for their unique geometry and contact conditions.

Q4: What units should be used for accurate calculations?
A: Consistent SI units (Newton-meters for torque, meters for diameter) should be used for accurate results.

Q5: How does tangential force relate to gear tooth stress?
A: Tangential force is a key factor in calculating bending stress and contact stress on gear teeth, which are critical for gear design and failure analysis.