check dimensions

Posted by Gaurav

There is this theorem in the first semester engineering (MU) which gives the formula of centrifugal tension in a belt.

T=m(v^2)

T->the centrifugal tension in the belt

m->mass of the belt

v->the belt velocity

Even if u don’t know anything about this let me tell you that the equation is written as it is given in the various textbooks many of which are recommended by the best colleges of Mumbai.

The problem is with the dimensions. The left side of the equation has the dimension of force whereas the right side has the dimension of energy. We already know that an equation with incorrect dimensions is incorrect. I asked about this to my teachers but I am not satisfied by their answers. Hoping to get the answer from you.