Final answer:
The amplitude of the oscillation is 1.4 meters, and the angular frequency is 1.40 rad/s, both derived directly from the given simple harmonic motion equation X = 1.4 cos (1.40 t).
Step-by-step explanation:
A mass oscillates according to the equation X = 1.4 cos (1.40 t), where X is in meters and t is in seconds. The given equation is for a simple harmonic motion, and from this, we can determine:
- (a) The Amplitude of the oscillation: It is the maximum displacement from the equilibrium position. The amplitude can be read directly from the equation X(t) and is the coefficient before the cosine function. Therefore, the amplitude is 1.4 meters.
- (b) The Angular frequency (ω) of the oscillation: In the equation X(t), angular frequency is the coefficient of the time variable t inside the cosine function. So, the angular frequency is 1.40 rad/s.