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How To Calculate Tension Force On A Pulley

Tension Force Formula:

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

kilograms
kilograms
m/s²

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1. What Is Tension Force On A Pulley?

Tension force on a pulley refers to the force exerted by a rope, cable, or string that is being pulled tight by forces acting from opposite ends. In a pulley system with two masses, the tension can be calculated using the specific formula that accounts for both masses and gravitational acceleration.

2. How Does The Calculator Work?

The calculator uses the tension force formula:

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

Where:

Explanation: This formula calculates the tension in a string connecting two masses over a pulley, assuming a frictionless pulley and massless string.

3. Importance Of Tension Force Calculation

Details: Calculating tension force is essential in physics and engineering for designing pulley systems, understanding mechanical advantage, and analyzing forces in various applications from simple machines to complex industrial systems.

4. Using The Calculator

Tips: Enter both masses in kilograms and gravitational acceleration in m/s². For Earth's gravity, use 9.8 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 pulleys with friction, additional factors must be considered in the calculation.

Q2: Can this formula be used for multiple pulleys?
A: This specific formula is designed for a simple single pulley system with two masses. Multiple pulley systems require more complex calculations.

Q3: What units should I use for mass?
A: Mass should be entered in kilograms (kg) for proper Newton force calculation.

Q4: How does tension change if one mass is zero?
A: If either mass is zero, the tension would be zero since there would be no force creating tension in the string.

Q5: Is air resistance considered in this calculation?
A: No, this formula assumes ideal conditions without air resistance or other external forces.

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