A particle in SHM has an amplitude of 6 cm and a frequency of 1.5 Hz . What is its maximum speed? (Take π = 3.14 )
Given: A particle in SHM has an amplitude of 6 cm and a frequency of 1.5 Hz . What is its maximum speed? (Take Ï€ = 3.14 ) These values define the system as per NCERT data. Formula: Maximum speed: v_{max = A omega. This is the standard NCERT relation for this phenomenon. Substitution & Calculation: omega = 2Ï€ v = 2 × 3.14 × 1.5 = 9.42 rad/s . A = 0.06 m . v_{max = 0.06 × 9.42 approx 0.565 m/s . Result: The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
Ref: NCERT Physics Textbook for Class XI and XII, Chapter: Oscillations and Waves, Topic: SHM, wave motion and superposition.