A baseball player makes contact with a pitch, but instead of hearing the satisfying crack of a well-hit ball, they feel a sharp sting travel through the bat and into their hands. On a nearby tennis court, a player strikes a ball away from the center of the racket and feels an unexpected vibration through the handle. Both athletes have experienced something that happens countless times during sporting events, yet few students may recognize the science behind it.
These sensations are caused by vibrations, which occur when an object moves back and forth around an equilibrium position. In sports, vibrations can travel through bats, rackets, hockey sticks, and other equipment after an impact. Their behavior depends on the materials used, the object’s structure, where the impact occurs, and how the equipment is held.
For engineers, these vibrations provide valuable information about equipment performance. By understanding how materials respond to impact, designers can investigate ways to improve comfort, durability, and consistency. They can also use specialized sensors to measure how equipment behaves during actual athletic activity.
For K–8 STEM educators, vibration science creates an opportunity to connect physics, engineering, mathematics, and technology to experiences students may already recognize. With simple classroom materials, students can investigate oscillations, compare frequencies, explore resonance, and design systems that reduce unwanted vibrations.
At STEM Sports®, we believe students develop a stronger understanding of STEM when they can connect academic concepts to meaningful, hands-on experiences. Our How to Teach STEM Through the Lens of Sports ebook emphasizes how sports-based investigations encourage curiosity, collaboration, and real-world problem-solving. The science of vibration provides another opportunity to transform a familiar sports experience into an engaging classroom investigation.
New Tennis Research Highlights the Challenges of Measuring Vibrations
In June 2026, researchers published a study in the scientific journal Measurement examining the performance of an inertial sensor during real tennis play. The research focused on whether a sensor could accurately capture the rapid shocks and vibrations produced when a tennis ball strikes a racket.
The researchers compared measurements from an inertial measurement unit, commonly called an IMU, with reference measurements. Although the sensor produced useful information about mechanical impacts, the researchers identified important limitations, including measurement errors and instances when impacts exceeded the sensor’s measurement range.
These findings illustrate an important challenge in sports engineering. Measuring what happens during a powerful impact can be difficult because the event occurs quickly and may produce complex vibrations that change over time. A sensor designed for ordinary movement may not be capable of accurately measuring every detail of a high-intensity collision.
For students, this research introduces two important scientific ideas. First, technology allows engineers to investigate events that may be too fast or subtle for human observation. Second, measurements must be interpreted carefully because even sophisticated equipment has limitations.
That leads to an interesting classroom question: How can we investigate vibrations when we cannot always see them clearly?
The answer begins with understanding how vibrating objects move.
What Is Vibration?
Vibration occurs when an object repeatedly moves back and forth around a resting position. Students encounter this phenomenon in many everyday situations, from a vibrating phone to a guitar string producing sound.
When a tennis ball strikes a racket, the impact can cause the racket’s frame and strings to deform and oscillate. Similarly, when a baseball hits a bat, the bat can bend slightly and vibrate as energy travels through its structure.
Several characteristics help scientists describe these movements. Amplitude refers to the maximum displacement from the resting position, while frequency describes how many complete oscillations occur during a given period. Frequency is commonly measured in hertz, with one hertz representing one complete cycle per second.
The frequency of a vibrating object depends on its physical characteristics, including stiffness, mass, geometry, and boundary conditions. This explains why two objects made from different materials may respond differently to the same impact.
For younger students, vibration can be introduced through simple observations. Older students can measure oscillation frequency, compare results, and investigate how changing an object’s physical properties affects its movement.
Classroom Investigation 1: The Vibrating Ruler Challenge
Recommended Grades: 3–8
STEM Focus: Oscillation, frequency, measurement, and experimental variables
Provide students with flexible plastic rulers, masking tape, and a sturdy tabletop. Each student should secure a ruler so that part of it extends beyond the table’s edge.
Ask students to gently pull down the free end and release it. They should observe how the ruler moves and describe what happens as the vibration gradually decreases.
Next, have students change the length of the ruler extending beyond the table while keeping the material and release procedure as consistent as possible. Students can compare how quickly the ruler vibrates at different lengths.
Younger students can classify the movement as faster or slower. Older students can record slow-motion videos, count oscillations over a measured interval, and estimate frequency.
After collecting data, students should explain why changing the unsupported length affected the ruler’s movement. This introduces the relationship between an object’s geometry and its vibrational behavior.
The activity also creates a connection to sports equipment. Just as changing the length of a ruler influences how it vibrates, engineers must consider how the dimensions and construction of a bat or racket influence its response to impact.
Why Some Hits Feel Better Than Others
Athletes often describe hitting a ball on the sweet spot of a bat or racket. Although the term is familiar, the science behind it involves several interacting physical principles.
A sports implement can vibrate in different patterns called modes of vibration. Each mode has locations where movement is relatively small and locations where movement is greater. These patterns depend on the object’s material, shape, and how it is supported.
In baseball bats, impacts near certain locations can produce less vibration at the hands than impacts farther away. Other factors, including the center of percussion and the way momentum is transferred during the collision, also influence how an impact feels.
The sweet spot is therefore not necessarily one mathematically perfect point. It is better understood as a region where several desirable performance characteristics may overlap.
Tennis rackets introduce additional complexity because both the frame and the string bed respond to impact. String tension, racket construction, impact location, and grip conditions can influence the vibration that reaches a player’s hand.
For educators, these relationships demonstrate why engineers must consider complete systems rather than individual components.
Classroom Investigation 2: Finding the Low-Vibration Zone
Recommended Grades: 4–8
STEM Focus: Vibration patterns, measurement, experimental design, and data analysis
Provide students with flexible rulers or thin wooden craft strips, along with soft foam balls or another lightweight tapping tool.
Secure one end of each strip to a table and mark several locations along its exposed length. Students gently tap each marked location using approximately the same force and observe the resulting vibrations.
If slow-motion video is available, students can record the movement and compare how the strip responds to impacts at different positions.
Ask students to identify whether certain locations appear to produce more or less movement. They should also consider whether their observations change when the strip’s length or support conditions change.
This is a simplified investigation of vibration response rather than a direct model of a baseball bat’s sweet spot. However, it introduces the same underlying engineering question: How does impact location influence the behavior of an object?
Older students can organize their observations into tables and discuss which variables would need to be controlled to make their comparisons more reliable.
Resonance: When Vibrations Become Stronger
Another important concept in vibration science is resonance.
Every vibrating system has natural frequencies associated with the ways it can oscillate. When an external force repeatedly acts on a system at or near one of those frequencies, the resulting motion can become larger under suitable conditions.
Students may recognize this phenomenon from a playground swing. A swing moves higher when someone provides appropriately timed pushes, transferring energy into the motion at the right moments.
Sports equipment can experience related effects when impacts or repeated forces excite particular vibration modes. Engineers study these behaviors because strong vibrations may influence comfort, structural performance, or how equipment responds to repeated use.
However, resonance does not mean that every impact produces dangerously large vibrations. The actual response depends on the energy introduced, the object’s construction, and how quickly vibration energy is dissipated.
Understanding resonance helps students recognize that the timing and frequency of forces can be just as important as their magnitude.
Classroom Investigation 3: Exploring Resonance With Pendulums
Recommended Grades: 3–8
STEM Focus: Natural frequency, periodic motion, resonance, and energy transfer
Create simple pendulums using string and small identical weights. Attach them securely to a classroom stand so they can swing freely without colliding with nearby objects.
Students begin by observing how a pendulum moves when released from a small angle. They can measure the time required for several complete swings and calculate the average period.
Next, provide pendulums with different string lengths and ask students to compare their motion. Students should discover that longer pendulums generally swing more slowly than shorter pendulums under similar conditions.
To demonstrate resonance, teachers can apply small, regularly timed pushes to one pendulum. When the pushes are coordinated with the pendulum’s natural motion, its amplitude can increase.
Ask students to compare this behavior with poorly timed pushes. They should explain why the timing of the force influences the amount of energy transferred into the system.
The investigation creates a foundation for understanding why engineers study natural frequencies when designing sports equipment, vehicles, bridges, and other structures.
Damping: How Engineers Reduce Unwanted Vibrations
Vibrations do not usually continue forever. Over time, their amplitude decreases as mechanical energy is transferred into other forms or surrounding materials.
This process is called damping.
In sports equipment, damping can influence how long vibrations continue after an impact. Materials and structural designs may help reduce particular vibrations, although the effects depend on where the material is placed and which vibration modes are involved.
Tennis players sometimes attach small vibration dampeners to their racket strings. These devices can reduce certain string vibrations and change the sound or feel of impact. However, they should not be assumed to eliminate all racket vibration or reliably prevent injuries.
Engineers investigate damping by examining how quickly an object stops vibrating after receiving a controlled input. They may compare different materials, designs, and structural arrangements to determine which configurations meet performance requirements.
For students, damping creates an accessible engineering challenge because its effects can often be observed using simple materials.
Classroom Investigation 4: Design a Vibration-Damping System
Recommended Grades: 4–8
STEM Focus: Engineering design, materials science, energy transfer, and optimization
Challenge students to design a system that reduces vibrations in a flexible ruler or craft strip.
Provide materials such as foam, felt, rubber bands, cardboard, and masking tape. Students should begin by measuring or observing the vibration of the unmodified strip after a consistent release.
Next, each team selects one material and attaches it to a designated location on the strip. Students repeat the experiment and compare how the modification changes the vibration.
Encourage students to record the time required for visible movement to become small, while recognizing that the observation method provides only an approximate measure of damping.
Teams can then revise their designs by changing the material, amount, or placement. They should consider whether added mass or stiffness might also influence the results, rather than attributing every change exclusively to damping.
To make the challenge more realistic, introduce a material budget or maximum allowable weight. Students must balance vibration reduction with other design requirements.
The activity mirrors the engineering design process by requiring students to test a prototype, interpret evidence, and improve their solution.
The Connection Between Vibration and Sound
Vibration science also helps explain why sports equipment produces distinctive sounds.
When a baseball strikes a wooden bat, the impact excites vibrations in the bat and surrounding air. These vibrations produce the familiar crack associated with a solid hit.
A tennis racket produces a different sound because its frame, strings, and ball interact differently during impact. Changes in string tension, material properties, and impact location can influence the sound that players hear.
This connection allows educators to extend earlier lessons about sound waves into a more focused investigation of the vibrating objects that generate those sounds.
Students can explore how changing the length or tension of a vibrating material affects the sound it produces. They can also discuss why the sound of an impact may provide useful information without necessarily revealing every detail of the collision.
The distinction is important because sound, vibration, and equipment performance are related but not identical measurements.
Connecting Vibration Science to STEM Sports Curriculum
Vibration science creates opportunities to extend several existing STEM Sports® curriculum offerings.
STEM Tennis provides a particularly natural connection through modules such as The Game Evolved, May the Force Be With You, Stroke of Energy, and Advancements in Tennis. These lessons introduce students to equipment development, forces, motion, and the scientific principles behind the game.
A vibration investigation can extend those concepts by examining how racket construction and impact location influence equipment behavior.
STEM Baseball and STEM Softball provide additional opportunities through lessons involving forces, hitting, and technological advancements. Students can investigate why different impact locations produce different sensations and consider how engineers evaluate bat construction.
STEM Hockey introduces another application because hockey sticks must respond to rapid impacts while maintaining strength, flexibility, and durability. Students can compare the engineering requirements of different sports implements and identify common scientific principles.
These extensions reflect the STEM Sports approach to inquiry-based learning. Students begin with a familiar sports challenge, investigate the underlying science, collect evidence, and apply what they learn to new problems.
Why Hands-On Investigations Matter
The experiences of STEM Sports educators demonstrate why connecting scientific concepts to sports can make learning more meaningful.
At Choice Learning Academy in Arizona, sixth-grade science teacher Amy Rosengren uses STEM Basketball to help students investigate energy, motion, and temperature. Her students explore how temperature influences basketball behavior, allowing them to connect classroom science with experiences from their everyday environment.
Rosengren has described STEM Sports as a springboard for additional investigations, encouraging students to extend their scientific thinking beyond individual lessons.
Sandra Hayes has observed similar engagement at F.K. White Middle School in Louisiana. Her students participate in hands-on STEM Sports investigations involving familiar and unfamiliar sports, and she reports that students become highly invested in the learning process.
Lisa Longino has also connected physical education with mathematics and science through her STEM in the Neuronasium initiative in East Cleveland. Students explore concepts such as force, velocity, trajectory, and physiology while participating in physical activity.
These experiences demonstrate how a recognizable sports question can create opportunities for deeper learning. Students do not need to be accomplished athletes to investigate why a racket vibrates or how an engineer might reduce unwanted movement.
They simply need an opportunity to ask questions, collect evidence, and test their ideas.
Supporting K–8 Learning Goals
Sports vibration investigations can be adapted for different grade levels while maintaining a common focus on observation, experimentation, and problem-solving.
For grades K–2, educators can introduce vibration through safe demonstrations involving rulers, rubber bands, and other familiar objects. Students can observe movement, compare sounds, and describe what happens when objects are plucked or tapped.
For grades 3–5, students can investigate how changing the length of a ruler or pendulum affects its movement. They can collect simple measurements, identify patterns, and begin explaining relationships between an object’s properties and its behavior.
For grades 6–8, investigations can incorporate frequency, period, energy transfer, damping, resonance, and experimental design. Students can calculate averages, compare repeated trials, and evaluate the effectiveness of engineering modifications.
These activities support learning objectives connected to physical science, mathematical reasoning, engineering design, and scientific investigation. They also fit naturally into STEM enrichment programs, after-school activities, and interdisciplinary learning experiences.
STEM Careers Behind Sports Equipment
The science of vibration introduces students to professionals who help design, test, and improve sports equipment.
Mechanical engineers study how objects respond to forces and motion. Materials scientists investigate how different substances behave under stress, while acoustical engineers examine vibration and sound.
Product designers balance performance, durability, comfort, and cost. Testing specialists use sensors and laboratory equipment to evaluate prototypes, while data analysts interpret measurements and identify patterns.
The June 2026 tennis sensor study demonstrates how these fields work together. Understanding the equipment requires knowledge of physics, while developing reliable measurement systems involves engineering, electronics, and data analysis.
These careers reinforce an important STEM Sports message: students who love athletics can participate in the sports industry in many ways beyond becoming professional athletes.
Every Impact Is an Opportunity for Discovery
When a baseball player feels a bat vibrate or a tennis player hears the sound of a racket striking a ball, they are experiencing the effects of forces, motion, and energy transfer.
Engineers investigate those same events to understand how equipment behaves and how designs can be improved. They examine natural frequencies, measure vibrations, evaluate materials, and develop systems that control unwanted movement.
For K–8 students, these concepts can become meaningful learning experiences through simple investigations involving rulers, pendulums, foam, and other accessible materials.
Students can observe how vibrations change, compare measurements, investigate resonance, and design solutions that reduce unwanted movement. Along the way, they practice collaboration, critical thinking, mathematical reasoning, and evidence-based decision-making.
Most importantly, they begin to recognize that STEM exists in the sports equipment they see and use every day.
The next time a ball meets a bat, racket, or hockey stick, students may think about more than the result of the play. They may begin to wonder what happened during that brief moment of contact and how science could help explain it.
And with STEM Sports®, that curiosity can become the beginning of an entirely new learning experience.