# Tension Calculator, Formula, Calculation, Example

### Tension Formula

This tension calculator will teach you how to find the tension force in a rope or string used to lift an object.

In this article, you will also learn how to find the tension in ropes used to pull an object over a frictionless surface.

Tension calculator formula is given by,

Tension of rope T(N) in newton is equal to the product of the object mass m(kg) in kilogram is multiply by acceleration due to gravity g is the addition of the object mass m(kg) in kilogram is multiply by the acceleration a.hence the tension calculator formula has been written as,

T(N) = m(kg) g + m(kg) a

Where ,

T is the tension of rope

M is the object mass kg

G is the acceleration due to gravity

### Example 1:

A monkey of mass 11kgs climbs up a light vertical string suspended from a hook with an acceleration of 2 m/s2. Find the tension in the string.

### Solution :

Mass m =11 kgs

Acceleration a = 2 m/s2

Tension formula T = mg + ma

T = 11 * 2 + 11 * 9.8

T = 22 + 107.8

T = 129.8 N

Therefore ,tension is 129.8 N.

### Example 2:

There is a 14 kg mass hanging from a rope. What is the tension in the rope if the acceleration of the mass is zero?

### Solution :

Mass of the object m = 14kgs

Acceleration a = 0

Tension formula T = mg + ma

T = 14 * 0 + 14 * 9.8

T = 0 + 137.2

Therefore , tension of the rope is 137.2 N.