Ask Question
21 June, 06:42

A MEMS-based accelerometer has a mass of m = 2 grams, an equivalent spring constant of k = 5 N/m, and an equivalent damping coefficient of c = 0.1 N∙s/m. Determine the natural frequency  n and the damping ratio .

+3
Answers (1)
  1. 21 June, 07:15
    0
    The natural frequency = 50 rad/s = 7.96 Hz

    Damping ratio = 0.5

    Explanation:

    The natural frequency is calculated in this manner

    w = √ (k/m)

    k = spring constant = 5 N/m

    m = mass = 2 g = 0.002 kg

    w = √ (5/0.002) = 50 rad/s

    w = 2πf

    50 = 2πf

    f = 50 / (2π) = 7.96 Hz

    Damping ratio = c/[2√ (mk) ] = 0.1 / (2 * √ (5 * 0.002)) = 0.5
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A MEMS-based accelerometer has a mass of m = 2 grams, an equivalent spring constant of k = 5 N/m, and an equivalent damping coefficient of ...” in 📙 Physics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers