Final answer:
The frequency of oscillation is calculated using the mass and the force constant of a simple harmonic oscillator; for a car's shock absorber scenario with given values, we apply the specific formula f = 1/(2π)√(k/m). The time period is the reciprocal of the frequency.
Step-by-step explanation:
Frequency and Time Constant in Oscillations
In physics, particularly when discussing harmonic motion, the time constant is a measure of the time it takes for the system to decay in amplitude by a factor of e. For an underdamped harmonic oscillator, this would be associated with the damping coefficient and mass of the system. However, our question focuses more on the idealized frequency of a simple harmonic oscillator which does not typically include damping, thus no time constant is calculated. To find the frequency of oscillation for the car's shock absorbers scenario, we use the formula for the frequency of a simple harmonic oscillator: f = 1/(2π)√(k/m). Given the mass m = 900 kg and the force constant k = 6.53 × 104 N/m, we can calculate the frequency.
The time period T is the reciprocal of frequency T = 1/f. Using the values provided, let's compute the frequency f: f = 1/(2π)√(6.53 × 104 N/m / 900 kg), and the period T as T = 1/f.