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Calculate Tension In A Pulley

Pulley Tension Formula:

\[ T = \frac{2 \times m1 \times m2 \times g}{m1 + m2} \]

kg
kg
m/s²

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1. What is Pulley Tension?

Pulley tension refers to the force exerted by a rope, cable, or belt on a pulley system. In a simple two-mass pulley system, the tension can be calculated using a specific formula that accounts for both masses and gravitational acceleration.

2. How Does the Calculator Work?

The calculator uses the pulley tension formula:

\[ T = \frac{2 \times m1 \times m2 \times g}{m1 + m2} \]

Where:

Explanation: This formula calculates the tension in a frictionless pulley system where two masses are connected by a rope over a pulley.

3. Importance of Tension Calculation

Details: Accurate tension calculation is crucial for designing mechanical systems, understanding physics problems, and ensuring safety in pulley-based applications.

4. Using the Calculator

Tips: Enter both masses in kilograms and gravitational acceleration in m/s². All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if the pulley has friction?
A: This formula assumes a frictionless pulley. For systems with friction, additional factors must be considered.

Q2: Can this formula be used for multiple pulleys?
A: This specific formula is designed for simple two-mass systems. Complex pulley systems require different calculations.

Q3: What units should I use?
A: Mass should be in kilograms (kg), gravity in m/s², and the result will be in Newtons (N).

Q4: Does this work for inclined planes?
A: No, this formula is specifically for vertical pulley systems. Inclined planes require different calculations.

Q5: What if one mass is zero?
A: Both masses must be greater than zero for this formula to work properly.

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