Calculate Tension Force From Moment

Tension Force Formula:

\[ T = \frac{\tau}{r} \]

Tension Force (T): N

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Tension Force From Moment?

Definition: This calculator determines the tension force (T) generated by a moment (τ) acting at a certain radius (r).

Purpose: It helps engineers and physicists calculate the tension force in systems where torque is applied at a distance from a pivot point.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T = \frac{\tau}{r} \]

Where:

\( T \) — Tension force (Newtons)
\( \tau \) — Moment or torque (Newton meters)
\( r \) — Radius or moment arm (meters)

Explanation: The moment is divided by the radius to determine the equivalent linear tension force at that distance.

3. Importance of Tension Force Calculation

Details: Accurate tension force calculation is crucial for designing mechanical systems, cables, pulleys, and structural components subject to rotational forces.

4. Using the Calculator

Tips: Enter the moment in Newton meters and the radius in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: The calculator uses SI units - Newtons for force, Newton meters for moment, and meters for radius.

Q2: Can this be used for compression forces?
A: Yes, the same formula applies to compression forces resulting from moments.

Q3: What if the radius is zero?
A: The radius cannot be zero as it would make the tension force undefined (division by zero).

Q4: Does this account for dynamic loads?
A: No, this calculates static tension. For dynamic situations, additional factors like acceleration must be considered.

Q5: How does this relate to pulley systems?
A: In pulley systems, this can calculate the tension difference needed to create rotational motion.