1. What is the DC Motor Force Equation?

Definition: This calculator determines the linear force produced by a DC motor based on its torque output and the radius at which the force is applied.

Purpose: It helps engineers and technicians calculate the effective force available from a motor's rotational torque.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( F \) — Linear force (pounds)
• \( T \) — Torque (pound-feet)
• \( r \) — Radius (feet)

Explanation: The torque output is divided by the radius to determine the equivalent linear force at that distance from the rotation center.

3. Importance of Force Calculation

Details: Proper force calculation ensures appropriate motor selection for applications requiring specific linear forces, such as conveyors or lifting mechanisms.

4. Using the Calculator

Tips: Enter the motor torque in pound-feet and the radius in feet where the force is being applied. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for torque?
A: The calculator uses pound-feet (lb-ft) for torque. If you have Newton-meters, multiply by 0.7376 to convert to lb-ft.

Q2: How does radius affect the force?
A: Force decreases as radius increases - the same torque produces less force at greater distances from the center.

Q3: Is this calculation valid for all DC motors?
A: Yes, as long as you have the torque specification for the motor at your operating conditions.

Q4: What if I have the force and need to find torque?
A: Rearrange the formula: \( T = F \times r \)

Q5: Does this account for efficiency losses?
A: No, this is theoretical force. Actual force may be less due to mechanical losses.