Formula for Calculating Tension Force

The formula for calculating tension force on a string or rope is:

T = λ * g * m

Where:

• T is the tension force in Newtons (N)
• λ is the linear mass density of the string in kilograms per meter (kg/m)
• g is the acceleration due to gravity, which is approximately 9.8 meters per second squared (m/s²)
• m is the mass attached to the string in kilograms (kg)

So, the formula for calculating tension force is simply multiplying the linear mass density of the string by the acceleration due to gravity and the mass attached to the string. This formula is valid for any type of string or rope, whether it is horizontal, vertical, or at an angle.

Keep in mind that this formula assumes ideal conditions, such as a massless and frictionless string. In real-life situations, variables such as the weight of the string, air resistance, and surface friction may affect the tension force.