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Murrr4er [49]
3 years ago
15

2) (Ch. 14.1, Equation 14.1) a. Write an equation for the oscillation period in terms of frequency. Define all SI units. b. If a

n oscillator completes 10 cycles in 5.0 seconds, what are the period and the frequency of the oscillation
Physics
1 answer:
vazorg [7]3 years ago
6 0

Answer:

a)  T = 2 π√ (m / k)    c) T = 2 s ,    f = 0.5 Hz

Explanation:

a) In an oscillatory system the angular velocity is

     w = √ (k / m)

where w is the angular velocity, k the constant of the spring and m the applied mass

the angular velocity is related to the frequency and the period

      w = 2π f

      f = 1 / T

      w = 2π / T

    we substitute

     2π / T = √ k / m

     T = 2 π√ (m / k)

b) The units If kilograms (m = [kg]) are for the masses, the spring constant is in Newton per meters (k = [N / m], angular velocity in (w = [rad / s]

c) they ask us the period if we have 10 cycles in 5 s

          T = 10/5

          T = 2 s

          f = 1 / T

          f = 0.5 Hz

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