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.

22 Jan 2025
Answer :
Word Count : 394
To solve the problem step by step: ### Given: - Amplitude \( A = 15 \, \text{cm} = 0.15 \, \text{m} \) - Number of oscillations = 100 - Time for 100 oscillations = 50 s - Initial phase \( \phi = \frac{\pi}{2} \) ### (i) Time period \( T \) and angular frequency \( \omega \) Time period \( T \) is the time ___ _____ ____ _________ _____ ____ _____ ______ ________ _________.
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