Question

The equation of a wave is
y = 3sin 2t, where t is in seconds.
(a) State the value of the amplitude and period of this wave.

Answer 1

amplitude = max displacement

so maximum value sine can take is 1

hence we have 3 x 1 = 3


assuming we are in radians sin(t) is periodic with period 2pi

so sin(2t) is periodic with period pi (stretch sf 1/2 in t)