1. What is the Pulley Tension Formula?

The pulley tension formula calculates the tension in a string connecting two masses over a frictionless pulley. This formula assumes an ideal pulley system with no friction and a massless, inextensible string.

2. How Does the Calculator Work?

The calculator uses the pulley tension formula:

Where:

• \( T \) — Tension in the string (Newtons)
• \( m_1 \) — Mass of object 1 (kg)
• \( m_2 \) — Mass of object 2 (kg)
• \( g \) — Acceleration due to gravity (m/s²)

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

3. Importance of Tension Calculation

Details: Calculating tension is crucial in physics and engineering applications involving pulley systems, such as elevators, cranes, and various mechanical systems where forces need to be balanced.

4. Using the Calculator

Tips: Enter both masses in kilograms and the gravitational acceleration (default is 9.8 m/s² for Earth). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if the pulley has mass?
A: This formula assumes a massless pulley. For pulleys with mass, additional calculations involving moment of inertia are required.

Q2: Does this work for inclined planes?
A: No, this formula is specifically for a vertical pulley system. Inclined planes require different calculations involving angles.

Q3: What if there's friction in the system?
A: This formula assumes a frictionless system. For systems with friction, additional terms accounting for friction coefficients would be needed.

Q4: Can I use different units?
A: The calculator expects masses in kilograms and gravity in m/s². You can convert from other units before entering values.

Q5: What if the masses are equal?
A: If m₁ = m₂, the tension simplifies to T = m × g, as the system would be in equilibrium.