Final answer:
The damping coefficient c can be calculated using the formula k = (4π²m)/(d²), where k is the stiffness of the spring, m is the mass, and d is the period of oscillation. Substituting the given values, the damping coefficient c is approximately equal to 1394.78 N/m.
Step-by-step explanation:
The period of oscillation for a damped linear oscillation can be calculated using the formula:
d = 2π√(m/k)
Where d is the period, m is the mass, and k is the stiffness of the supporting linear spring.
In this case, the period d is given as 0.3 s, and the mass m is 1 kg. We can rearrange the formula to solve for the stiffness k:
k = (4π²m)/(d²)
Substituting the given values, we get:
k = (4π² * 1) / (0.3²) ≈ 1394.78 N/m
Therefore, the damping coefficient c is equal to the stiffness k, so c ≈ 1394.78 N/m.