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The displacement of a particle performing linear SHM is given by x = 6 sin (3πt +\(\frac{5\pi}6\)) metre. Find the amplitude, frequency and the phase constant of the motion. |
Answer» Data : x = 6 sin (3πt +\(\frac{5\pi}6\)) metre Comparing this equation with x = A sin (ωt + α), we get: 1. Amplitude, A = 6 m 2. ω = 3π rad / s ∴ Frequency, f = \(\frac{\omega}{2\pi}\) = \(\frac{3\pi}{2\pi}\)= 1.5 Hz 5% 3. Phase constant, α = \(\frac{5\pi}6\) rad |
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