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Thank you all for your contributions, my final understanding is that one converts Hz to rads, then disregard the unis, and once the equation is solved the corresponding unit is optionally added I do understand the concept of rad being dimensionless, but it's still weird to think about it, as...

Circling back to the OP, is this something that one just has to live with? If I want to solve for the rotational stiffness, it'd best if I forget radians are involved in the equation, then the result will be N.m/rad?

So it's fine then to just solve with no regard to the radians, then simply plug it in? I.e.:

Hi all, thanks for your replies. My question is not so much about "why radians", but "why LHS is radians/s and RHS is 1/rad · s)" I have formatted the equations, I hope this makes it clearer: The question is: Why in equation 1, LHS is in [rad/s^2] while RHS is in [1/rad·s^2], and in...

Hi all, I have this doubt when it comes to estimating a rigid body rotational stiffness from a eigen frequencies analysis. At first it seemed straightforward to me, using the fundamental dynamics equation w_n = sqrt(K/M), where w_n = f_n · 2 · PI However, I seem to be reaching a unit...