1. What is the Force From Torque Formula?

The force from torque formula calculates the linear force applied at a distance from a pivot point. It's derived from the fundamental relationship between torque, force, and radius: F = T / r.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: This formula calculates the perpendicular force required to produce a given torque at a specific distance from the pivot point.

3. Importance of Force Calculation

Details: Calculating force from torque is essential in mechanical engineering, physics, and various applications involving rotational systems, such as automotive design, machinery, and structural analysis.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculation?
A: Use Newton-meters (Nm) for torque and meters (m) for radius to get force in Newtons (N).

Q2: Does this formula work for any force direction?
A: This formula calculates the perpendicular component of force. For forces applied at an angle, additional trigonometric calculations are needed.

Q3: Can I use different units?
A: Yes, but you'll need to ensure unit consistency. For example, using foot-pounds for torque and feet for radius will give force in pounds.

Q4: What if the force isn't applied perpendicularly?
A: For forces applied at an angle, you would need to calculate the perpendicular component using F = T / (r × sinθ), where θ is the angle between the force vector and the lever arm.

Q5: How is this formula used in real-world applications?
A: This calculation is used in designing mechanical systems, determining required motor torque, analyzing structural loads, and many engineering applications involving rotational motion.