00:01
Hello everyone in this question we will learn about some basic concepts of the units and measurements the question is the expression for the centripetal force f depends upon the mass of body speed of the body and radius of the circular part we have to find the expression for the centripetal force right so according to the question the force depends upon the mass so we will say m power a, velocity, v power b, and radius r power c.
00:34
So we'll determine the value of a, b and c, and we'll find the expression for the force.
00:41
Therefore, f can be written as k, m power a, v power b and r power c, where k is dimensionless.
00:59
Right? so from the homogeneity of dimensions, we can say that the dimension.
01:05
Dimensions of lhs should be equal to rhs.
01:09
Now, dimension of the force is m, l, t minus 2.
01:15
And on the right side, the dimension of mass is m.
01:20
The dimension of velocity is l t minus 1 and the dimension of radius is l...