A mass of 0.404 kg is attached to a spring with spring constant 204.9 N/m.Its oscillation is damped with a damping constant of b = 15.7 kg/s.What is the angular oscillation frequency of this damped oscillation? (in rad/s)
A)8.560
B)11.385
C)15.143
D)20.140
E)26.786

Question

Quizplus · Accepted Answer

The angular frequency of a damped oscillator is given as:

ω = √(ω₀² - b²/4m²)

where ω₀ is the undamped angular frequency, b is the damping constant, and m is the mass.

ω₀ = √(k/m) = √(204.9/0.404) = 20.14 rad/s

Substituting the given values:

ω = √(20.14² - 15.7²/4(0.404)²) = 11.385 rad/s

Therefore, the answer is B.

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