Your T² vs. L pendulum plot has slope 4.0 s²/m. Using slope = 4π²/g, compute g in m/s². (Use π² ≈ 9.87.) Set the slider to your answer.

Physics I / Graphical Analysis and Curve Fitting

Practice question · Estimate

Your $T^{2}$ vs. $L$ pendulum plot has slope 4.0 s²/m. Using slope $= 4\pi^{2}/g$ , compute $g$ in m/s². (Use $\pi^{2} \approx 9.87$ .) Set the slider to your answer.

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Hints

Rearrange: $g = 4\pi^{2}/\text{slope}$ .
$g = 4 \times 9.87 / 4.0$ .

Show the answer

9.87 (answers within ±0.3 count)

Why

$g = 4\pi^{2}/4.0 \approx 9.87$ m/s². Note the workflow: the slope of a linearized plot, built from all data points at once, delivers the physical constant, with the scatter of points around the line giving its uncertainty for free.

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Your T2T^{2}T2 vs. LLL pendulum plot has slope 4.0 s²/m. Using slope =4π2/g= 4\pi^{2}/g=4π2/g, compute ggg in m/s². (Use π2≈9.87\pi^{2} \approx 9.87π2≈9.87.) Set the slider to your answer.

Practise Graphical Analysis and Curve Fitting

More questions on Graphical Analysis and Curve Fitting

Your $T^{2}$ vs. $L$ pendulum plot has slope 4.0 s²/m. Using slope $= 4\pi^{2}/g$ , compute $g$ in m/s². (Use $\pi^{2} \approx 9.87$ .) Set the slider to your answer.