Use your definition to explain how simple harmonic motion can be represented by the equation `y=a sin omega t`
Show that the above equation is dimensionally correct

The displacement in simple harmonic motion can be represented as x(t)=Acos(omegat + phi) ,where phi is the phase constant. Define A in the equation.

A particle executes simple harmonic motion according to the equation x=5sin((2π)/3t) Find the period of the oscillation

A student was asked to write the equation for displacement at any instant in a simple harmonic motion of amplitude'a'. He wrote the equation as y= asin((2π upsilon t)/k) Where 'v' is the velocity at instant 't'. For the equation to be dimensionally correct. what should be the dimensions of k?