### 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

### Tension Calculator:

### Examples :

### Example 1:

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

### Solution :

Mass m =11 kgs

Acceleration a = 2 m/s^{2}

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.