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Science Snacks
Science activity that demonstrates resonant frequencies

Resonant Rings

Here's one reason not all buildings are equal in an earthquake.

This activity graphically demonstrates that objects of different sizes and stiffness tend to vibrate at different frequencies.


Grade Bands: 
6-8
9-12
Subject: 
Earth Science
Geology
Engineering & Technology
Real-World Problems & Solutions
Physics
Mechanics
Waves
Keywords: 
resonance
earthquakes
vibration
frequency
model
NGSS and EP&Cs: 
ESS
ESS2
PS
PS4
ETS
ETS1
CCCs
Patterns
Cause and Effect
Energy And Matter
Structure and Function

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Tools and Materials

  • Large sheet of construction paper measuring about 14 × 20 inches (35 × 50 centimeters); alternatively, use strips of construction paper ranging in size from roughly 1 x 8 in (2.5 x 25 cm) to 1 x 20 in (2.5 x 50 cm) in a variety of colors
  • Sheet of cardboard that is 12 in (30 cm) long and several inches (15–20 cm) wide
  • Scissors
  • Tape

Assembly

  1. Cut four or five 1-in (2.5-cm) wide strips from the construction paper. The longest strip should be about 20 in (50 cm) long, and each successive strip should be about 3 in (8 cm) shorter than the preceding one.
  2. Form the strips into rings by taping the two ends of each strip together.
  3. Tape the rings to the cardboard sheet as shown in the image above.

To Do and Notice

 

Shake the cardboard sheet back and forth. Start at very low frequencies and slowly increase the frequency of your shaking.

Notice that different rings vibrate strongly, or resonate, at different frequencies. The largest ring will begin to vibrate strongly first, followed by the second largest, and so on. The smallest ring starts to vibrate at the highest frequencies.

Keep shaking the cardboard faster and faster, and notice that the largest ring will begin to vibrate strongly again. Each ring will vibrate at more than one frequency, but the shape of each ring will be different for each resonant frequency. (Click to enlarge diagram below.)

The rings will also have different resonant frequencies if you shake the board up and down instead of sideways (click to enlarge diagram).


What's Going On?

The frequencies at which each ring vibrates most easily—its resonant frequencies—are determined by several factors, including the ring’s inertia (mass) and stiffness. Stiffer objects have higher resonant frequencies, whereas more massive ones have lower resonant frequencies.

The biggest ring has the largest mass and the least stiffness, so it has the lowest resonant frequency. Put another way, the largest ring takes more time than the smaller rings to respond to an accelerating force.

During earthquakes, two buildings of different sizes may respond very differently to the earth’s vibrations, depending on how well each building’s resonant frequencies match the “forcing” frequencies of the earthquake. Of course, a building’s stiffness—determined by the manner of construction and materials used—is just as important as a building’s size.


Going Further

You can make the vibration frequency audible and more obvious by cutting a 1-in (2.5-cm) section of a plastic drinking straw, inserting a BB pellet into it, taping paper over the ends of the straw, and taping the straw to the cardboard sheet parallel to the end. As you shake the sheet, the BB will tap against the ends of the straw at the same frequency as your vibration.



Related Snacks

Science activity to build a musical instrument that uses vibrations
Coffee-Can Cuíca

Build a cuíca—a musical instrument—and play with vibrations.

Science activity that uses a coil of wire, a paper cup and a magnet to create a radio speaker
Cup Speaker

Make a speaker that turns changing electric current into sound.

Science activity that demonstrates resonant frequencies
Resonator

Explore resonance to discover how objects vibrate at certain frequencies.



Creative Commons License



This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Attribution: Exploratorium Teacher Institute

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