Final answer:
The amplitude of the wave given by the equation y = (3.00 cm) sin(0.02πx + 4.00πt) is 3.00 cm.
Step-by-step explanation:
The amplitude of a transverse wave is the maximum distance the particles of the medium move from their rest position as the wave passes through. In the wave equation y = (3.00 cm) sin(0.02πx + 4.00πt), the amplitude is simply the coefficient before the sine function, which in this case is 3.00 cm. Therefore, the amplitude of the wave is 3.00 cm.
The amplitude of a periodic variable is a measure of its change in a single period (such as time or spatial period). The amplitude of a non-periodic signal is its magnitude compared with a reference value. There are various definitions of amplitude , which are all functions of the magnitude of the differences between the variable's extreme values. In older texts, the phase of a periodic function is sometimes called the amplitude.