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How To Calculate Force Of DC Motor

Force Calculation Formula:

\[ F = \frac{Torque \times 9.55}{Wheel\ Radius} \]

kg·cm
cm

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1. What Is DC Motor Force Calculation?

The DC motor force calculation determines the linear force generated by a motor's torque applied through a wheel or pulley. This is essential for designing mechanical systems, robotics, and motion control applications where precise force output is required.

2. How Does The Calculator Work?

The calculator uses the force calculation formula:

\[ F = \frac{Torque \times 9.55}{Wheel\ Radius} \]

Where:

Explanation: The formula converts rotational torque into linear force by considering the leverage provided by the wheel radius, with the conversion factor ensuring proper unit handling.

3. Importance Of Force Calculation

Details: Accurate force calculation is crucial for determining if a motor can overcome friction, move loads, and perform required work in applications like conveyor systems, robotic arms, and electric vehicles.

4. Using The Calculator

Tips: Enter torque in kg·cm and wheel radius in cm. Ensure both values are positive and non-zero. The calculator will compute the linear force output in Newtons.

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 9.55 used?
A: The factor 9.55 accounts for unit conversions between kg·cm torque and Newtons force, incorporating gravitational and rotational relationships.

Q2: Can this formula be used for any DC motor?
A: Yes, this formula applies to all DC motors as long as you have accurate torque specifications and wheel radius measurements.

Q3: What if I have torque in different units?
A: Convert your torque to kg·cm before using this calculator. Common conversions: 1 N·m = 10.197 kg·cm, 1 oz·in = 0.072 kg·cm.

Q4: How does wheel radius affect the force output?
A: Smaller wheel radius increases force but reduces speed, while larger radius decreases force but increases speed - demonstrating the torque-speed tradeoff.

Q5: Is this calculation affected by motor efficiency?
A: This calculation provides theoretical maximum force. Actual force may be lower due to mechanical losses, friction, and motor efficiency factors.

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