Question

DA student was asked to write the equation fordisplacement at any instant in a simple harmonicmotion of amplitude 'a'. He wrote the equation as21 v.y= a SintkWhere 'v'is the velocity at instant t'. For the equa-tion to be dimensionally correct, what should bethe dimensions of k ?(1)​

Answer 1

as sine function has no dimention  dimention of kt=1

therefore [k]=[t]⁻¹  

[k]=[T⁻₁]