1. What is Torsional Spring Force Calculation?

Definition: This calculator determines the torque exerted by a torsional spring based on its spring constant and the angle of twist.

Purpose: It helps engineers and designers calculate the restoring torque in rotational spring systems.

2. How Does the Calculator Work?

The calculator uses Hooke's Law for torsion:

Where:

• \( \tau \) — Torque (Newton-meters)
• \( k \) — Torsional spring constant (N m/rad)
• \( \theta \) — Angle of twist (radians)

Explanation: The torque is directly proportional to the angle of twist, with the spring constant as the proportionality factor.

3. Importance of Torsional Spring Calculation

Details: Accurate torque calculation is essential for designing rotational systems, ensuring proper spring sizing, and predicting system behavior.

4. Using the Calculator

Tips: Enter the spring constant (stiffness) in N m/rad and the angle of twist in radians. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is torsional spring constant?
A: It's a measure of how much torque is required to twist the spring by one radian (N m per radian).

Q2: How do I convert degrees to radians?
A: Multiply degrees by π/180 (1° ≈ 0.01745 radians).

Q3: What affects the spring constant?
A: Material properties, wire diameter, coil diameter, and number of active coils.

Q4: Is this formula linear for all angles?
A: Only within the elastic limit of the spring material.

Q5: How is this different from regular springs?
A: Torsional springs work in rotation (torque vs angle) while regular springs work in linear motion (force vs displacement).