Physics Worksheet

📳 Resonance

Chapter: Waves · Level ★★☆ · Time: 30 min

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After this worksheet you can

Understand: Natural FrequencyUnderstand: Resonance ConditionUnderstand: Everyday Examples of ResonanceUnderstand: Resonance and Structural Engineering

📚 Quick Recap

Resonance occurs when a system is driven at its natural frequency, causing oscillations to build dramatically in amplitude — the same principle that lets you push a swing higher and higher with well-timed pushes.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1Why does a radio tuner let you select one specific station out of many broadcast frequencies?

2Why did the Tacoma Narrows Bridge (a famous historical example) collapse dramatically in wind?

3Why does opera-singer glass-breaking require a sustained note rather than a brief one?

4What would happen to resonant amplitude growth if a system had zero damping at all (a purely theoretical case)?

🧮 Section B · Problem Solving ● INTERMEDIATE 4 × 3 = 12

5Why do soldiers traditionally break step (stop marching in unison) when crossing a bridge?

6A tuning fork vibrates at its natural frequency when struck. What happens if you place it near another tuning fork with the same natural frequency?

7Why is 'damping' often deliberately added to engineered structures like buildings in earthquake-prone areas?

8What determines a system's natural frequency (in general terms)?

🚀 Section C · Challenge ● CHALLENGE 2 × 2 = 4

9Why might a car exhibit unusual vibration or rattling at one specific speed but not others?

10What is the key difference between simply applying a force to a system versus applying a force AT its resonant frequency?

💭 Reflection — the most useful thing I learned:

A ___/4 B ___/12 C ___/4 Total ___/20 Teacher's Signature Parent's Signature

✂ answer key — fold or cut before handing out

1 = The tuner circuit's natural frequency is adjusted to resonate specifically with the desired station's frequency, amplifying that signal over others 2 = Wind-induced oscillations matched (or closely matched) the bridge's natural frequency, causing resonance and a catastrophic buildup of oscillation amplitude 3 = Building up enough resonant energy in the glass takes time, so a sustained matching frequency allows the amplitude to grow large enough to break it 4 = Amplitude could theoretically grow without bound as long as the driving force continued at the resonant frequency | 5 = To avoid accidentally driving the bridge at its natural frequency through synchronized footsteps, which could cause dangerous resonance 6 = The second tuning fork can begin vibrating too, due to resonance from the sound waves matching its natural frequency 7 = To reduce the amplitude of resonant oscillations during an earthquake, protecting the structure from potentially catastrophic vibration 8 = Its physical properties, such as mass, stiffness, length, or tension, depending on the type of system | 9 = That speed's engine or wheel rotation frequency likely matches a natural resonant frequency of some car component, amplifying the vibration 10 = Applying force at the resonant frequency causes energy to build up efficiently over time, producing much larger oscillations than the same force applied at a non-matching frequency