EXAMPLE: Graph 1 shows the variation with time t of the displacement d of a traveling wave. Graph 2 shows the variation with distance x along the same wave of its displacement d. (a) Use the graphs to determine the amplitude of the wave motion.  Amplitude (maximum displacement) is m. Either graph gives the correct amplitude. Sketching and interpreting distance and time graphs

EXAMPLE: Graph 1 shows the variation with time t of the displacement d of a traveling wave. Graph 2 shows the variation with distance x along the same wave of its displacement d. (b) Use the graphs to determine the wavelength.  Wavelength is measured in metre and is the length of a complete wave. = 2.40 cm = m. Graph 2 must be used since its horizontal axis is in cm (not seconds as in Graph 1). Sketching and interpreting distance and time graphs

EXAMPLE: Graph 1 shows the variation with time t of the displacement d of a traveling wave. Graph 2 shows the variation with distance x along the same wave of its displacement d. (c) Use the graphs to determine the period.  Period is measured in seconds and is the time for one complete wave. T = 0.30 s. Graph 1 must be used since its horizontal axis is in s (not cm as in Graph 2). Sketching and interpreting distance and time graphs

EXAMPLE: Graph 1 shows the variation with time t of the displacement d of a traveling wave. Graph 2 shows the variation with distance x along the same wave of its displacement d. (d) Use the graphs to find the frequency.  This can be calculated from the period T.  f = 1 / T = 1 / 0.30 = 3.3 Hz. [3.333 Hz] Sketching and interpreting distance and time graphs

EXAMPLE: Graph 1 shows the variation with time t of the displacement d of a traveling wave. Graph 2 shows the variation with distance x along the same wave of its displacement d. (e) Use the graphs to find the wave speed.  This can be calculated from and T.  v = / T = / 0.30 = m s -1. Sketching and interpreting distance and time graphs

PRACTICE: Graph 1 shows the variation with time t of the displacement y of a traveling wave. Graph 2 shows the variation with distance x along the same wave of its displacement. (a) Use the graphs to determine the amplitude and wavelength of the wave motion.  Amplitude (maximum displacement) is y = m.  Wavelength is y = 0.30 cm =.0030 m. Graph 2 must be used for since its horizontal axis is in cm. Sketching and interpreting distance and time graphs

PRACTICE: Graph 1 shows the variation with time t of the displacement y of a traveling wave. Graph 2 shows the variation with distance x along the same wave of its displacement. (b) Use the graphs to determine the period and the frequency.  Period (cycle time) is 0.25 ms = s.  Frequency is f = 1 / T = 1 / = 4000 Hz. Graph 1 must be used for T since its horizontal axis is in ms. Sketching and interpreting distance and time graphs

PRACTICE: Graph 1 shows the variation with time t of the displacement y of a traveling wave. Graph 2 shows the variation with distance x along the same wave of its displacement. (c) Use the graphs to determine the wave speed.  Wave speed is a calculation.  v = / T = / = 12 m s -1. Sketching and interpreting distance and time graphs

EXAMPLE: Graph 1 shows the variation with time t of the displacement x of a single particle in the medium carrying a longitudinal wave in the +x direction. (a) Use the graph to determine the period and the frequency of the particle’s motion.  The period is the time for one cycle. T = 0.20 s.  f = 1 / T = 1 / 0.20 = 5.0 Hz. Sketching and interpreting distance and time graphs

EXAMPLE: Graph 2 shows the variation of the displacement x with distance d from the beginning of the wave at a particular instant in time. (b) Use the graph to determine the wavelength and wave velocity of the longitudinal wave motion.  = 16.0 cm = m.  v = / T = / 0.20 = 0.80 m s -1. Sketching and interpreting distance and time graphs

EXAMPLE: Graph 2 shows the variation of the displacement x with distance d from the beginning of the wave at a particular instant in time. (c) The equilibrium positions of 6 particles in the medium are shown below. Using  ’s, indicate the actual position of each particle at the instant shown above. Sketching and interpreting distance and time graphs

EXAMPLE: Graph 2 shows the variation of the displacement x with distance d from the beginning of the wave at a particular instant in time. (d) In the diagram label the center of a compression with a C and the center of a rarefaction with an R. Sketching and interpreting distance and time graphs C R

PRACTICE: The graph shows one complete oscillation of a particular frequency of light. (a) What is its frequency, and what part of the spectrum is it from? SOLUTION: From the graph T = 6.00  s.  Then f = 1 / T = 1 / 6.00  s = 1.67  Hz.  This is from the ultraviolet part of the spectrum. The nature of electromagnetic waves c = f relation between c, and f where c = 3.00  10 8 m s -1