The position of the particle is given by the equation x = (2 cm) cos 10πt, where t represents time in seconds. To find the position at a specific time, simply plug in the value for t into the equation and solve for x.
The coefficient 2 cm represents the amplitude or maximum displacement of the particle from its equilibrium position. This means that the particle's position oscillates between 2 cm and -2 cm as time passes.
The frequency of the particle's motion is represented by the coefficient 10π in the equation. This indicates that the particle completes 10 full oscillations in one second.
Yes, this equation can be used to predict the future position of the particle as long as time is known. By plugging in a value for t, the resulting value for x will represent the position of the particle at that time.
This equation can be graphically represented as a sinusoidal wave, where the x-axis represents time and the y-axis represents the position of the particle. The amplitude, frequency, and phase shift can be identified from the graph.