Atwood Machine with Friction Calculator
Atwood Machine with Friction Calculator computes the acceleration and tension in an Atwood machine with pulley friction. Input the masses, gravitational acceleration, and friction coefficient, select their units, and calculate the results.
Enter Parameters
How to Use Atwood Machine with Friction Calculator:
- Enter the masses, gravitational acceleration, and friction coefficient using the keypad or direct input; use “Next” to switch fields.
- Select appropriate units for masses (e.g., kg, g) and gravitational acceleration (m/s²).
- Click “Calculate” to see step-by-step results.
- Use “Share Result” to get shareable text or “Copy Result” to copy to clipboard.
Formulas:
Acceleration (a):
a = [(m₁ – m₂)g – 2μₖ T] / (m₁ + m₂)
Tension (T):
T ≈ 2 m₁ m₂ g / (m₁ + m₂)
Where: m₁, m₂ = masses (kg), g = gravitational acceleration (m/s²), μₖ = kinetic friction coefficient (dimensionless)
Important Notes:
- Inputs for masses, gravitational acceleration, and friction coefficient must be positive numbers. Invalid inputs will trigger an error.
- The calculator assumes the pulley has friction, modeled as a torque opposing motion, proportional to the tension.
- The tension formula is approximate, and friction effects are simplified; results are iterated for accuracy.
- Clipboard access requires a secure context (HTTPS). If copying fails, try accessing over HTTPS or copy manually.