Exam-style question
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Define angular frequency and explain its relationship to period and frequency.
Model answer
What a good answer should say
- Angular frequency (ω) is defined as the rate of change of the phase of a sinusoidal waveform, measured in radians per second.
- It is related to the period (T) and frequency (f) by the formulas ω = 2πf and ω = 2π/T, indicating that angular frequency increases with higher frequency and decreases with longer period.
Explanation
Why this works
This answer effectively defines angular frequency and establishes its mathematical relationships with period and frequency, testing the student's understanding of these fundamental concepts in simple harmonic motion.
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