What is the amplitude of v=asinwt oscillation

Question

Its a oscillation, SHM question 

Answer 1

Student,

 

It is not clear whether you mean the amplitude of the displacement or the maximum speed, where the latter is the amplitude of v(t).  As worded, it appears you gave the speed of a the transverse oscillation as a function of time, since you used the symbol v.  In this case, the coefficient of the sine is the maximum speed, which is

 

v_max = a = ωA,

 

where A is the amplitude of the displacement.  Then

 

A = a/ω

Answer 2

In this case, amplitude is the absolute value of "a", the coefficient of the sine.