Draft (09/23/15) Human Waves Demonstrate How Seismic Waves Travel Time: 10 minutes plus class worksheet Target Grade Level: Any level Objective Students will: • Model how earthquake waves travel at different speeds • Construct a distance and time graph to represent the P and S waves Materials: Stop watch & group of students Background for Seismic Waves: Screen grab from the classroom video demo of this activity: http://www.iris.edu/hq/inclass/video/human_wave_modeling_ seismic_waves_in_the_classroom • Short animation (& related resource tabs) that describes seismic waves, please visit: http://www.iris.edu/hq/inclass/animation/1component_ seismogram_building_responds_to_p_s_surface_waves NGSS Science Standards Introduction Remember the “stadium wave,” when one person stands and raises his hands in the air and the motion is translated completely around the arena? This simple demonstration uses a similar principal by sending seismic waves through a line of people to illustrate the difference between P waves and S waves. Webster’s Dictionary defines a wave as “a disturbance or variation that transfers energy progressively from point to point in a medium.” Suppose the medium were the audience in a football arena. . Procedure To simulate seismic wave propagation in solids and liquids have a line of 10-30 people stand shoulder to shoulder, side by side, with their feet about shoulder width apart. Instruct the group to not be too rigid or too limp when pushed from the side. They should give with the force that they will feel from the person next to them, but not fall over, and then return to their upright position. In other words, they should be “elastic.” Have a “spotter” (or wall) at the end of the line in case the last person begins to fall. (It is important to stress these instructions to the participants so that the demonstration will work effectively.) To represent wave propagation in a solid, gently push the first person in the line and the compressive “deformation” will propagate down the line of people approximating a P wave (Figure 1B). Although each person was briefly subjected to a deformation or disturbance, the individuals did not move from their original locations. The motion • From Molecules to Organisms—Structures and Processes: MS-LS1-8 • Energy: MS-PS3-5 • Waves and Their Applications in Technologies for Information Transfer: MS-PS4-1, HS-PS4-1, MS-PS4-2 of each person is in the direction of propagation so that the people moved closer together (compression), and then apart (dilation) to return to their original positions. Also, the propagation down the line takes time; there is a velocity for the wave propagation. To simulate the S wave in a solid, have each person put their arms over the shoulders of the person next to them (“chorus line style”; the “molecules” or “particles” of the solid are tightly bonded). Make the first person at the end of the line bend forward at the waist and then stand up straight. The transverse or shear motion will propagate down the line of people (Figure 2B). Again, the wave takes some time to propagate and each person ends up in the same location where they started even though a wave has passed. Also, note that the shear motion of each particle is perpendicular to the direction of propagation. Which one moves faster? The teacher or one of the observers can time the P and S wave propagation in the human wave using a stopwatch. Because the shear wave motion is more complicated in the human wave, the S wave will have a Modified from Larry Braile’s “Seismic Waves and the Slinky: A Guide For Teachers.” NGSS standards are from the Cascadia Earthscope Earthquake and Tsunami Education Program (http://ceetep.oregonstate.edu/) e-binder. http://www.iris.edu/hq/inclass/search a slower velocity (greater travel time from source to the end of the line), similar to seismic waves in a solid. To represent wave propagation in a liquid, have the students stand shoulder-to-shoulder, without their arms around each other. Bump the P wave again and time the propagation down the line. It should be the same as a solid. For an S wave, keep the arms at sides, but now have the first person a bend forward at the waist—a transverse or shear disturbance (Figure 3). However, because the “molecules” of the liquid are more loosely bound, the shearing motion will not propagate through the liquid (along the line of people). The disturbance does not propagate to the next person, as it did with arms over shoulders in the solid because the liquid 1A does not support the shearing motion. (Compare pressing your hand down on the surface of a solid such as a table top and on the surface of water and moving your hand parallel to the surface. There will be considerable resistance to moving your hand on the solid.) One could even push the entire table horizontally by this shearing motion. However, there will be virtually no resistance to moving your hand along the surface of the water.) Only the first person in the line – the one that is bent over at the waist – should move because the people are not connected. If the next person bends, “sympathetically,” not because of the wave propagating, ask that person if he or she felt, rather than just saw, the wave disturbance, then repeat the demonstration for S waves in a liquid. 1B Figures 1A & B—LEFT: P wave through a solid or liquid. RIGHT: When a P wave bumps the first person (molecule), the bumping down the line happens quickly. P waves travel easily within a liquid or solid. From Video of an P-wave demonstration taken in Roger Groom’s Mount Tabor Middle School Earthl-science class. The travel times are graphed. 2A 2B Figures 2A & B — LEFT: S wave through a solid. RIGHT: The line of people (molecules) forms an elastic solid by linking arms or placing arms over shoulders to show that when the S wave “shears” the first person pulls the next into a bend. Note that the motion of each person is perpendicular to the direction that the wave travels. As each person bends and straightens, they pull their neighbor into the same motion. This is a slower effect than the P wave. Figure 3—An S wave can’t travel through a liquid. The line of people (molecules) forms a liquid by unlinking their arms. Activity uses the S wave concept of “shearing” into a bend, but because arms aren’t linked into an elastic solid, the rest of the line doesn’t bend. b Extension Idea have students figure out how to model materials with different densities or cohesiveness such as sand vs. solid rock. Grades 9-12 might evaluate wavelength, amplitude and frequency. In the classroom Review and introduce concepts for the experiment. What is an earthquake? Define P and S waves. What is recorded at a seismic station during an earthquake? What do we measure? Why? What information do we want? What other events could generate seismic waves, like an earthquake? (See Types of Earthquakes.) Activity: Explain to students that the following activity will give them a chance to see how P and S waves travel through liquids and solids and establish their speeds by simulating them in the Human Wave. • Line the students up feet apart with shoulders touching. Measure the length of the line in feet or meters to record on the x axis of Graph 1 (next page). • Designate one student to record the times in Table 1. All students will plot the data on Graph 1 and do any calculations (simple subtraction, division) afterward. • When ready, the instructor will both nudge the first student with a P (compressive) wave and click the stopwatch. When the last student is bumped, stop the watch. Record the time. Repeat each example according to the notes in the procedure three times. • The P-wave times should be roughly similar. More students will increase accuracy. Repeat with the S-wave method. •Ask class which one is slower? (S-waves will be about 50% slower.) • As a class, plot the data for the trials on Graph 1. Use a different color for P and S wave data. Fit a straight line between zero and each point. Questions and simple math: 1) What does any point on the graph represent? 2) Do we see the expected behavior of waves represented? (i.e. Are P waves faster than S waves?). Demonstrate graphically how we know (i.e., compare two points of a constant distance, and trace to their times – and compare with time difference line). 3) Calculate the group speeds for P and S waves in feet/ second or meters/second by dividing the distance by seconds. Now calculate how much slower the S wave is by dividing S m/sec by P m/sec. 4) How do the P and S waves differ? (See “Speed” in the Vocabulary P & S wave descriptions.) Divide 3500 m/sec by 6000 m/sec. S waves trabout 58% the speed. of P waves. How does the Human Wave compare? Vocabulary Earthquake—shaking or trembling of the earth that accompanies rock movements extending anywhere from the crust to 680 km below the Earth’s surface. It is the release of stored elastic energy caused by sudden fracture and movement of rocks inside the Earth. Part of the energy released produces seismic waves, like P, S, and surface waves, that travel outward in all directions from the point of initial rupture. These waves shake the ground as they pass Seismic Wave— an elastic wave generated by an impulse such as an earthquake or an explosion. P Wave—the primary body wave; the first seismic wave detected by seismographs; able to move through both liquid and solid rock..Also called compressional or longitudinal waves, they compress and expand (oscillate) the ground back and forth in the direction of travel, like sound waves that move back and forth as the waves travel from source to receiver. P wave is the fastest wave. Speed: 6000-8000 m/s (19,685-26,246 ft/sec) S Wave—secondary body waves that oscillate the ground perpendicular to the direction of wave travel. They travel about 1.7 times slower than P waves. Because liquids will not sustain shear stresses, S waves will not travel through liquids like water, molten rock, or the Earth’s outer core. S waves produce vertical and horizontal motion in the ground surface. Speed: 3500-4500 m/s (11,483– 14,764 ft/sec) Types of earthquakes: A) Tectonic Earthquake: earthquake that occurs when the earth’s crust breaks due to geological forces on rocks and adjoining plates that cause physical and chemical changes. B) Volcanic Earthquakes: earthquakes that result from tectonic forces which occur in conjunction with volcanic activity. C) Collapse Earthquakes: small earthquakes in underground caverns and mines that are caused by roof collapse. D) Explosion Earthquakes: earthquakes which are the result of the detonation of nuclear and chemical devices This page modified from a “Human Waves” Lesson Plan from Michigan Technological University c Table 1: Travel time for the P and S waves through solids and liquids. Graph 1: Travel Time Graph for Times vs Distance 24 22 20 18 Distance, in feet 16 14 12 10 8 6 4 2 0 0 1 2 3 4 5 6 7 8 9 10 Time, in seconds d
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