Answer:
a) Angular frequency, w = 0.0184 rad/s
b) Amplitude of vibration = 245 m
Explanation:
a) Angular frequency, w = 2πf
f = 1/T, T = 5.7 minutes = 5.7 × 60 = 342 s
f = 1/342 = 0.00292 Hz or 0.00292/s
w = 2π (0.00292) = 0.0184 rad/s
b) Amplitude of simple harmonic motion,
displacement of simple harmonic motion, x(t) = A cos (wt-Φ)
A = amplitude
v = dx/dt = - Aw (sin (wt - Φ)
Velocity amplitude of simple harmonic motion = Amplitude × angular frequency
Amplitude = (velocity amplitude)/(angular frequency) = 4.5/0.0184 = 245m
Hope this Helps!!!
