This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the general form of a wave equation. The general equation for a sinusoidal wave traveling in the positive x-direction is given by: y = A ( t - kx) where A is the amplitude, is the angular frequency, and k is the wave number. Step 2: Rewrite the given equation in the standard form. The given equation is y = 15 (2 · 5 (60t - x)). First, distribute the 2 · 5 term inside the parenthesis: y = 15 ( (2 · 5 · 60)t - (2 · 5)x ) y = 15 ( 600 t - 10 x ) Step 3: Compare with the standard form to find the wave number k. By comparing y = 15 ( 600 t - 10 x ) with y = A ( t - kx), we can identify: = 600 k = 10 Step 4: Calculate the wavelength using the wave number k. The relationship between the wave number k and the wavelength is: k = (2)/() Substitute the value of k we found: 10 = (2)/() Step 5: Solve for . Divide both sides by 2: = (2)/(10) = (2)/(10) = 0.2 The wavelength of the wave is 0.2 units. The final answer is 0.2.