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Torque Transmitted By Gear Given Tangential Force And Pitch Circle Diameter Calculator

Formula Used:

\[ M_t = \frac{P_t \times d}{2} \]

N
m

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1. What is the Torque Transmitted by Spur Gear?

Torque transmitted by spur gear is described as the turning effect of force on the axis of rotation of the spur gear. It represents the rotational force that the gear can transmit in mechanical systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ M_t = \frac{P_t \times d}{2} \]

Where:

Explanation: The torque is calculated as half the product of tangential force and pitch circle diameter, representing the moment created by the force acting at the pitch radius.

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial for gear design, power transmission system analysis, and ensuring mechanical components can handle the transmitted loads without failure.

4. Using the Calculator

Tips: Enter tangential force in Newtons (N) and pitch circle diameter in meters (m). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is tangential force in gear systems?
A: Tangential force is the force that acts on a spur gear in the direction of a tangent to the curved path of the gear circumference, responsible for producing torque.

Q2: What is pitch circle diameter?
A: Pitch circle diameter is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle, representing the effective working diameter.

Q3: Why is torque divided by 2 in this formula?
A: The division by 2 comes from the relationship between diameter and radius (r = d/2), as torque is force multiplied by radius.

Q4: What are typical torque values for spur gears?
A: Torque values vary widely depending on gear size, material, and application, ranging from small fractional N·m values in precision instruments to thousands of N·m in industrial machinery.

Q5: Can this formula be used for other gear types?
A: While the basic principle applies to all gear types, specific torque calculations may require additional factors for helical, bevel, or worm gears due to their different force distributions.

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