Two different periodic motions are observed: • A pendulum in a laboratory takes to…

PHYSICS · Multi-part · GCSE · Physics · Waves · Waves

Problem

Two different periodic motions are observed: • A pendulum in a laboratory takes 1.5 s1.5\,\text{s} to complete one full swing. • A guitar string on an electric tuner is vibrating at 330 Hz330\,\text{Hz}. Answer the following, using clear verbal reasoning that refers to the concepts of period and frequency without relying on explicit numerical calculations. (1) Part 1: (a) Describe, in words, the conceptual relationship between the period of a motion and its frequency. (2) Part 2: (b) Without performing any arithmetic, state which of the two motions repeats more times each second and justify your answer qualitatively. (3) Part 3: (c) Suppose the frequency of the pendulum were somehow doubled. Explain what qualitative change would occur in its period and why.

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