If a student plans to make a simple pendulum of time period 1 s, then the length of the pendulum will be(Note: Take the value of acceleration due to gravity as 10 m/s2.)
Correct answer: A. 0.25 m.
- A. 0.25 m.
- B. 0.50 m.
- C. 1.00 m.
- D. 2.00 m.
Explanation
T = 2π√(L/g)Where: * T = Time period = 1 s * L = Length of the pendulum (what we need to find) * g = Acceleration due to gravity = 10 m/s² * π ≈ 3.14159Calculation: * Rearrange the formula to solve for L: T² = (2π)² * (L/g) T² = 4π² * L/g L = (T² * g) / (4π²) * Substitute the given values into the formula: L = (1² s² * 10 m/s²) / (4 * (3.14159)²) L = (1 * 10) / (4 * 9.8696) L = 10 / 39.4784 L ≈ 0.2533 m
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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