Question

F=a+bv+c/d+p where F=force,v=velocity,p=pressure. find the dimensions of a,b and d.

Answer 1

Dimension of a is similar to force

Dimension of b is M1T-1

Answer 2

"Given:

F = a + bv + c/d + p where F = force, v = velocity, p = pressure

We know that, the unit of velocity is meter

The unit of pressure is Torr.

Hence for the given equation the dimension will be,

$M^1 T^1$.

Velocity is the "ratio" of change in distance to the time. The unit of velocity is m/s.

Pressure is the force acting per unnit area. The unit of pressure of N/m."