 # Tension Formula

Tension Formula

Tension is nothing but the drawing force acting on the body when it is hung from objects like chain, cable, string etc. It is represented by T (occasionally also symbolized as Ft).

Tension formula is articulated as

Where,
The Weight of the body = W,

mass of the body = m,
acceleration of the moving body = a

If the body is traveling upward, the tension will be T = W + ma
If the body is traveling downward, the tension will be T = W – ma
If the tension is equivalent to the weight of body T = W.

The weight of the object can be articulated as W = mg. Therefore, tension formula can also be represented as:

Where,
m = mass of the body,
g = acceleration due to gravity,
a = acceleration of the moving body.

Tension Formula is made use of to find the tension force acting on any object. It is useful in problems. Tension is a force so it is expressed in Newtons (N).

Tension Solved Examples

Underneath are questions based on tension which may be useful for you.

Problem 1: A 8 Kg mass is dangling at the end of a string. If acceleration of the mass is

• 3 m/s2in the upward direction

(b) 3 m/s2 in downward direction.

Find the tension in the string.

Known:

m (Mass of the hanging body) = 8 Kg,
(a) If the body is traveling in the upward direction the tension force is articulated as
T = mg + ma = 8 × 9.8 + 8 × 1.5 = 90.4 N
(b) If the body is traveling in down direction, the tension force is articulated as
T = mg – ma = 8 × 9.8 – 8 × 1.5 = 66.4 N.
Problem 2: A 500 N man is standing on the floor of an elevator. The scale is keeping a watch on the force. What will be the force if the acceleration is
(a) 1.5 m/sin upward direction
(b) 9.8 m/s2 in downward direction.