Investigating the Rattleback Bowl
Student Laboratory Kit
Materials Included In Kit
Ellipsoid-shape rattleback bowls, 15 Modeling clay, 2 sticks
Pipets, Beral-type, graduated, 15
Additional Materials Required
Water, 600 mL Beakers, 400-mL, 2 Dish soap, 1–2 drops
Glass plate (optional) Stirring rod
Safety Precautions
Although this activity is considered nonhazardous, please follow normal laboratory safety guidelines.
Disposal
Please consult your current Flinn Scientific Catalog/Reference Manual for general guidelines and specific procedures, and review all federal, state and local regulations that may apply, before proceeding. The materials in this kit may be saved for future use. Collect the modeling clay and store in a zipper-lock bag to prevent it from drying out. The modeling clay may be disposed of according to Flinn Suggested Disposal Method #26a.
Lab Hints
- Enough materials are provided in this kit for 30 students working in pairs or for 15 groups of students. Each experiment can be completed in a 50-minute class period.
- The two experiments that can be performed with the materials in this kit are not actually related. One experiment is more of an inquiry-based experiment constructing a rattleback bowl which shows concepts of friction, rotational motion and conservation of energy. The second experiment investigates surface tension. These labs can be performed on different days or even at different times of the year depending on your curriculum.
- Strike the rattleback on the thin side and watch it oscillate and then begin to rotate in its “natural” direction. Strike the rattleback on a fat side and watch it oscillate and begin to rotate in the opposite direction. Show this phenomenon to the students and have them hypothesize an explanation.
Teacher Tips
- To save time, break off thumb-sized pieces of clay from the sticks—enough for each lab group.
- Designing the rattleback bowl is a great activity to start the year. Students will learn the basics of experimentation and the scientific method. The additional Discussion may be provided for students who want to know the science behind the rattleback.
- Demonstrate the “real” rattleback in front of the class before students begin the experiment. This will give students an idea of how the “best” rattleback should perform.
- Challenge students to vary the mass along the edges, as well as varying the position of the mass as they design their “best” rattleback.
- The density of PVC is between 1.35–1.45 g/cm3.
Sample Data
{13078_Data_Table_1}
{13078_Data_Figure_6}
{13078_Data_Table_2}
Answers to Questions
Investigating the Rattleback
- According to your observations, what conditions are necessary for the rattleback to switch rotational directions? Is an initial wobble necessary for the rattleback to reverse directions?
The clay must be positioned off-center and on opposite sides for the rattleback to reverse directions. It works best when the rattleback is balanced. When no clay is on the bowl, it does not reverse directions.
The rattleback, when properly made, will reverse its direction whether it is initially spun with no wobble, or if it does have a small wobble as it spins. It does not require an initial wobble in order to reverse directions.
- Describe the motion of the rattleback as it changes direction.
After the initial rotation, the rattleback begins to wobble up and down. As this occurs, the rotation slows down and eventually stops completely as the wobbling reaches a maximum height. Then, the wobbling decreases and the rattleback begins to spin again, but in the opposite direction. The spin is slower than the initial spin but it increases slightly as the wobbling stops. Eventually the rattleback no longer wobbles and spins smoothly in the opposite direction until it stops.
- What conditions were required for the “best” rattleback?
The best rattleback was the result of the clay being positioned at about 15 degrees away from the long center-line of the rattleback. A smooth initial spin also helped set up a strong wobble and the rattleback continued to spin for several seconds after it reversed directions.
- From your experiments and observations, develop a hypothesis to explain the bowl’s change in rotational direction.
Student responses will vary. There is no right or wrong answer when describing the mysterious rattleback.
The off-center clay changes the balance of the bowl. The football-shape of the bowl also causes the bowl to spin differently compared to a bowl that is completely spherical. The combination of the offset balance and the football shape cause the bowl to oppose the rotation of motion. Instead of rotating, the bowl begins to wobble up and down and eventually the bowl stops rotating. The offset balance and football shape then transform the wobble into a rotational spin in the “natural” direction. Eventually the wobble stops and the rattleback spins in its natural direction.
When the rattleback is rotated in its “natural” direction, it does not begin to wobble and continues to spin in this direction because the offset balance prefers the rotation over the wobbling when it is spun in this direction.
- Would the same behavior occur with a completely spherical bowl? Why or why not?
No, a completely spherical bowl has no center line and would always be balanced. Therefore, positioning the clay around the outside rim would not create a wobble and would not send the bowl in the opposite direction.
Investigating Surface Tension
- Define the term surface tension.
Surface tension in water creates a “skin” or “membrane” at the surface of the water that appears to stretch before it breaks.
Surface tension is the result of the strong cohesive forces of water molecules below the surface and the lack of cohesive forces above the surface. The cohesive force attracts water molecules to other water molecules.
- How did the tap water in the beaker react as more weight (water) was added to the bowl?
As water was added to the bowl, the bowl sank further below the surface of the water in the beaker. However, the water “skin” did not break and bent along the rim of the bowl. The water in the beaker (at the surface) continued to bend as more weight (water) was added. Enough weight was added to cause the bowl to sink below the surface of the water, but the water “skin” (surface tension) did not break. Eventually, enough water was added to the bowl that put too much stress on the surface tension and caused the skin to break and the bowl to sink to the bottom of the beaker.
- How did the soapy water in the beaker react as weight was added to the bowl?
The surface tension of the soapy water supported a small amount of weight that was added to the boat. The surface of the soapy water did not bend much. After 4 mL of water was added to the bowl, the bowl sank.
- Which liquid, tap water or soapy water, has stronger surface tension? Explain how surface tension helps to support the bowl.
The surface tension of the tap water held considerably more than the surface tension of the soapy water. The soapy water supported less than half of the weight compared to the tap water.
Surface tension helped support the bowl by creating a skin on the surface of the water that required a strong enough force to break. When the stress on the skin was high enough after too much weight (water) was added to the bowl, the surface tension broke and the bowl sank. Soap interfered with the cohesive forces of the water molecules and reduced the surface tension. The surface tension of the soapy water broke much more easily than the surface tension of the tap water.
Discussion
A celt’s mysterious behavior is the result of frictional forces acting on a complex, non-uniform surface. The mathematics of the behavior of a celt are complicated and still not fully understood. However, it is known that a celt must have three characteristics for it to perform its unusual act.
First, the curved bottom of the celt cannot be perfectly spherical. That is, the bottom must have two different radii of curvature. For example, a spoon has a long radius of curvature along its length and a shorter radius of curvature along its width. This produces a shape known as an ellipsoid (a three-dimensional ellipse).
The second characteristic of a celt is that the mass distribution along the two horizontal principal axes of inertia must be different. Since the plastic rattleback bowl has uniformly distributed mass, there is more mass in a section running along the length of the bowl than a section across the width of the bowl. Therefore, the plastic bowl satisfies the second characteristic of a celt.
The final characteristic necessary to produce celt-like rotation is that the principal axes of inertia must be slightly skewed from the axes of symmetry of the celt’s curved base (see Figure 6). This characteristic is created when the clay is positioned slightly off-axis from the center of the bowl. Clay placed directly across from each other keeps the rattleback balanced. This affects the bowl’s final moment of inertia, or its effective resistance to a change in its state of rotation.
{13078_Discussion_Figure_6}
A rotating celt is an excellent example of how different types of energy can be transformed from one type to another. Kinetic energy is the energy of motion. The celt experiences two types of kinetic energy—rotational kinetic energy and vibrational kinetic energy. When the celt is spun it has rotational kinetic energy. Frictional forces act on the ellipsoid bottom of the celt, and act against the direction of the spin (producing what is known as a torque on the spinning celt). On a perfectly spherical bottom, the frictional forces act antiparallel to (directly against) the spin in the horizontal direction. However, because of the ellipsoid shape and asymmetric mass distribution, the frictional forces will not always act in the antiparallel direction to the spin. The forces may be skewed slightly, thus allowing part of the frictional forces to act in other directions perpendicular to the spin, including the vertical direction. Therefore, if a celt is spun in the appropriate direction, the frictional forces transform the initial rotational energy into vibrational energy. The celt stops rotating but continues to vibrate up and down along the length of the celt. The frictional forces continue to act on the irregularly shaped bottom and eventually turn the vibrational up and down motion back into rotational motion—in the opposite direction to the initial spin. The celt will continue to spin in this “natural” rotation until friction causes it to stop completely.
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