What is the Atwood machine tension formula and how is it used to calculate the tension in the system?

The Atwood machine tension formula is T (m2 - m1) g / (m1 m2), where T is the tension in the system, m1 is the mass of one object, m2 is the mass of the other object, and g is the acceleration due to gravity. This formula is used to calculate the tension in the system by plugging in the values of the masses and the acceleration due to gravity.