Physics HELP!

The position of an object connected to a spring varies with time according to the expression x = (7.1 cm) sin (2.1π t). Find
(a) the period of this motion (b) the frequency of the motion (c) the amplitude of the motion (d) the first time after t=0 that the object reaches the position x = 2.6 cm (Make sure your calculator is in radians mode)

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  1. (a)
    Compare
    x = (7.1 cm) sin (2.1π t)
    with
    x=Asin(ωt)
    Then
    ω= 2.1π,
    => T=2π/ ω =
    = 2 π/2.1π=0.7 rad/s
    (b)
    f=1/T=1.42 Hz
    (c)
    A=7.1 cm
    (d)
    x=Asin(ωt)
    2.6 = 7.1 sin (2.1π t)
    sin (2.1π t) =2.6/7.1=0.366
    (2.1π t)=sin⁻¹0.366=0.375 rad
    t=0.375/2.1π=0.0569 s.

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