Physics

Rotational Stiffness Calculator

Find rotational stiffness from torque and angular deflection.

Calculated Output

Rotational stiffness (N·m/rad) 572.96

Formula: k = torque ÷ angle(rad)

Step-by-Step Breakdown

1. Values used:

2. Torque = 50 N·m

3. Angular deflection = 5 °

5. Rotational stiffness = 572.96N·m/rad

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The math behind it

k = torque ÷ angular deflection (in radians), the rotational analog of a spring constant.

50 N·m over 5° (0.0873 rad) → ≈ 573 N·m/rad.

How does it relate to torsion?

A stiffer shaft twists less under the same torque.