Pulley Torque Calculator Metric

Torque Formula:

\[ \tau = F \times r \]

Torque (τ):

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1. What is Torque?

Torque is a measure of the rotational force applied to an object. In pulley systems, torque determines the rotational effect of a force applied at a distance from the center of rotation.

2. How Does the Calculator Work?

The calculator uses the torque formula:

\[ \tau = F \times r \]

Where:

\( \tau \) — Torque (Newton-meters, N·m)
\( F \) — Force applied (Newtons, N)
\( r \) — Radius or distance from center (meters, m)

Explanation: The torque produced is directly proportional to both the applied force and the distance from the center of rotation.

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial for designing mechanical systems, determining power requirements, and ensuring proper operation of pulley systems and rotational machinery.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for torque calculations?
A: This calculator uses the metric system: force in Newtons (N) and radius in meters (m), resulting in torque in Newton-meters (N·m).

Q2: How does pulley size affect torque?
A: Larger pulleys (greater radius) produce more torque for the same applied force, according to the formula τ = F × r.

Q3: Can I use this calculator for gear systems?
A: Yes, the same torque formula applies to any rotational system where force is applied at a distance from the center of rotation.

Q4: What's the difference between torque and power?
A: Torque is a rotational force, while power is the rate at which work is done. Power equals torque multiplied by rotational speed.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the inputs. Actual system performance may vary due to friction, efficiency losses, and other real-world factors.