A simple harmonic oscillator has amplitude 15 cm and it completes 100

Question

A simple harmonic oscillator has amplitude 15 cm and it completes 100 oscillations in 50 s. (i) Calculate its time period and angular frequency. (ii) If the initial phase is

π/2, write expressions for its displacement and velocity. (iii) Calculate the values of maximum velocity and acceleration.

17 Apr 2025

Answer :

Word Count : 277

We are given: * Amplitude $A = 15\, \text{cm} = 0.15\, \text{m}$ * Number of oscillations $= 100$ * Time taken $= 50\, \text{s}$ * Initial phase $\phi = \frac{\pi}{2}$ --- ### (i) Time period and angular frequency Time period $T$ is the time for one _____ __________ _________ _____ __________ ____ _________.
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