1. What is the Force From Torque Equation?

The force from torque equation calculates the linear force generated by a torque applied at a certain radius. This fundamental physics relationship is essential in mechanical engineering, robotics, and various applications involving rotational motion.

2. How Does the Calculator Work?

The calculator uses the force from torque equation:

Where:

• \( F \) — Force (Newtons)
• \( T \) — Torque (Newton-meters)
• \( r \) — Radius (meters)

Explanation: The equation shows that force is directly proportional to torque and inversely proportional to the radius at which the torque is applied.

3. Importance of Force Calculation

Details: Accurate force calculation from torque is crucial for designing mechanical systems, determining required motor specifications, analyzing structural loads, and ensuring proper functioning of rotational mechanisms.

4. Using the Calculator

Tips: Enter torque in Newton-meters (Nm) and radius in meters (m). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for torque and radius?
A: Torque should be in Newton-meters (Nm) and radius in meters (m) for the result to be in Newtons (N).

Q2: Can this formula be used for any rotational system?
A: Yes, this fundamental relationship applies to all rotational systems where torque is applied perpendicular to the radius.

Q3: What if the force is not applied perpendicular to the radius?
A: For non-perpendicular applications, you need to use the component of force that is perpendicular to the radius, or use the full vector formula involving the cross product.

Q4: How does radius affect the resulting force?
A: For a constant torque, increasing the radius decreases the resulting force, and decreasing the radius increases the resulting force.

Q5: Is this formula applicable to both static and dynamic systems?
A: Yes, the formula F = T/r applies to both static equilibrium situations and dynamic rotational motion analysis.