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
T= tension (N or kg-m/s2)
g = acceleration due to gravity (9.8 m/s2)
m =Mass of the body
a = Acceleration of the moving body
If the body is travelling upward, the tension will be T = mg+ ma
If the body is travelling downward, the tension will be T = mg – ma
If the tension is equivalent to the weight of body T = mg
Tension Formula is made use of to find the tension force acting on any object. It is useful for 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 the acceleration of the mass is
- 3 m/s2in the upward direction
- 3 m/s2 in a downward direction
Find the tension in the string.
m (Mass of the hanging body) = 8 Kg,
(a) If the body is travelling in the upward direction the tension force is articulated as
T = mg + ma = 8 × 9.8 + 8 × 3 = 102.4 N
(b) If the body is traveling in down direction, the tension force is articulated as
T = mg – ma = 8 × 9.8 – 8 × 3= 54.4 N