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How does the period of a pendulum change with amplitude, and what are the approximate period values for different angles?

Physics

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Answer

...we can infer that the period values shown range from approximately 0.15 s0.15 \text{ s} to 0.21 s0.21 \text{ s}.

Step 2: Analyze the relationship between period and angle.
From the graph, for small angles (approximately 10∘10^\circ to 30∘30^\circ), the period remains relatively constant. The period in this range is about 1.5 cm×0.1 s/cm=0.15 s1.5 \text{ cm} \times 0.1 \text{ s/cm} = 0.15 \text{ s}.
As the angle of displacement increases beyond 30∘30^\circ, the period of oscillation begins to increase.
For example, at θ=45∘\theta = 45^\circ, the period is approximately $1.7 \text{

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