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 an oscillator completes 10 cycles in 5.0 seconds, what are the period and the frequency of the oscillation

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

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

explanation: