The equation for the velocity of an object performing simple harmonic motion is \(v = {v_0}\sin \omega t\). Which of the following is a correct alternative form of the equation?

A. \(v = {v_0}\sin \left( {\frac{{2\pi }}{T}} \right)t\)
B. \(v = {v_0}\sin \left( {\frac{t}{T}} \right)\)
C. \(v = {v_0}\sin \pi Tt\)
D. \(v = {v_0}\sin \left( {\frac{T}{{2\pi }}} \right)t\)

A