Question Detail

The general form of a wave equation is y = A sin(kx - ωt). The provided equation is y(x,t) = (8cm) sin 2π(0.3x−0.5t). Expanding this, we get y(x,t) = (8cm) sin (2π * 0.3x - 2π * 0.5t), which simplifies to y(x,t) = (8cm) sin (0.6πx - 1.0πt). By comparing this to the standard form, we can identify ω = 1.0π rad/s. This aligns with the 'Example' section on page 3 where ω is associated with the t term.