A student records 60 s for 30 oscillations of a simple pendulum and computes its effective length. Find the length for g = 9.8 m·s⁻² and π² = 9.8.
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Question

A student records 60 s for 30 oscillations of a simple pendulum and computes its effective length. Find the length for g = 9.8 m·s⁻² and π² = 9.8.

G1 Physics · Accepted Answer

Step 1: Period T = total time/number of oscillations = 60/30 = 2 s. Step 2: Simple pendulum formula: T = 2π√(L/g). Step 3: Square both sides: T² = 4π²L/g, so L = gT²/(4π²). Step 4: L = (9.8 × 2²)/(4 × 9.8) = 1 m. Final answer: 1 m (Option B).