Highway Seismograph—Bumping over the logs This activity is is used with permission from Paul Doherty http://www.exo.net/~pauld/index.html or http://www.exploratorium.edu/faultline/basics/measure.html Time: 10-minute homework Materials Target Grade Level: 6th grade and up • A car, a driver, and a bumpy highway. • A felt tip pen • A pad of lined paper. Content Objective Students will learn about the Richter scale as they make their own seismograms in a moving vehicle. Introduction As you drive down a highway, you can use an extended arm and hand to model the operation of a seismograph. To Do and Notice While driving down the highway as a passenger in a car, hold your arm straight out in front of you. Hold it near the dashboard without touching the dash. Notice that as you hit bumps your hand moves up and down relative to the dashboard. To record the motion, use one hand to hold a pad of paper vertically against the dashboard. Hold the felt tip pen in the other hand stretched out to arms length. As you drive along, use the pen to trace the line from left to right across the paper. Move the pen slowly. Try to keep the pen line straight. Notice that when you hit a bump the pen moves up and down making a seismogram-like recording. Sample of 1 to 10 on a logarithmic scale. What’s Going On? When the car hits a bump it accelerates up. You are firmly attached to the car and accelerate with it. Your hand and arm are less firmly attached to the car and so their mass and inertia cause them to lag behind the motion of your body and the car. This is why your arm moves down relative to the car. In actuality your arm stays the same height above the earth, but the dashboard moves up. Math Root Earthquakes are measured on a logarithmic scale. Let’s create a logarithmic car bump scale called the “Pothole scale.” 1. Measure the maximum amplitude of each recorded bump. 2. Convert your measurement to micrometers. 3.Take the base 10 logarithm of the amplitude in micrometers. This is the bump rating on the pothole scale. For example, a 1 cm amplitude bump is 104 micrometers or a 4 on the Pothole scale. A Pothole 5 bump is 10 times larger than a Pothole 4. So the pen motion for a pothole 5 is 10 cm. A Pothole 6 bump is big enough to destroy your car! So What ? The Richter scale measures earthquakes. The Richter magnitude takes the amplitude in micrometers of the pen motion on a Wood-Anderson seismograph and takes the base 10 logarithm of this amplitude. (The magnitude is adjusted to make it what it would have been if the earthquake were 100 km away.) Section 2—Earthquake Activities 53
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