Module 03 • Virtual & Home Lab•Classical Mechanics & Oscillation
Das Fadenpendel
Untersuchen Sie den Zusammenhang zwischen Fadenlänge, Erdbeschleunigung und Schwingungsdauer. Erfahren Sie, warum Galileo beobachtete, dass die Schwingungszeit nur von Länge und Schwerkraft abhängt, nicht von der Masse.
Sicherheitsstatus: Sicher zu Hause durchführbar
Theoretical Formula:T = 2π√(L/g)
High School Level: Simple Harmonic Motion (T = 2π√(L/g))
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Live Physics Calculations
High SchoolTheoretical Formula: T = 2π√(L/g)
θ: +20.0°
Theoretical Period (T)
2.457s
Time required for one complete back-and-forth swing based on T = 2π√(L/g).
Small Angle Approximation (θ₀ ≤ 20°)
θ₀ = 20° • Small Angle (≤ 20°)In High School physics, we use sin(θ) ≈ θ (in radians). Under this small-angle approximation, the period T = 2π√(L/g) depends only on length L and gravity g, not on the release angle.
Frequency (f)
0.41 Hz
Angular Speed (ω)
2.56 rad/s
Peak Speed (v_max)
1.33 m/s
Simulation Controls
1.50 m
Presets:
9.81 m/s²
20°
Presets:
Digital Stopwatch
Measure swings manually to compare with theory
Count:
Elapsed Time
00:00.00
Measured Period (T_meas)
-- s
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Data Table
Record multiple trials with varying lengths, gravities, and release angles. Compare theoretical period against your measured stopwatch readings.
| Trial # | Length (L) | Gravity (g) | Angle (θ₀) | Theoretical (T) | Measured (T_meas) | Difference (ΔT) | Error % | Actions |
|---|---|---|---|---|---|---|---|---|
| #1 | 1.00 m | 9.81 m/s² | 20° | 2.006 s | s | ±0.004 s | 0.2% | |
| #2 | 2.00 m | 9.81 m/s² | 20° | 2.837 s | s | ±0.013 s | 0.5% |