Find dimensions of a,w & t

Question

If I. =  Asin(wt-kx)

Where i=current

    T= time

X= distance

Answer 1

As sin function is dimensionless and wt- kx is dimensionless now difference of two quantity ( wt) and ( kx) is dimensionless therefore 

wt= M⁰L⁰T⁰ 

=>w* time(T¹) = M⁰L⁰T⁰ 

=>w= M⁰L⁰T⁰ / T¹

= M⁰L⁰T^-1 

also kx= M0L0T0 

=>k* distance(L¹) 

= M⁰L⁰T⁰ 

=>k= M⁰L⁰T⁰ /L¹

=M⁰L^-1T⁰