The position of an object connected to a spring varies with timeaccording to the

Question

The position of an object connected to a spring varies with timeaccording to the expression x = (5.4 cm) sin(8t). (a) Find the period of this motion.
1 s

(b) Find the frequency of the motion.
2 Hz

(c) Find the amplitude of the motion.
3 cm

(d) Find the first time after t = 0 that the objectreaches the position x = 2.6 cm.
4 s (a) Find the period of this motion.
1 s

(b) Find the frequency of the motion.
2 Hz

(c) Find the amplitude of the motion.
3 cm

(d) Find the first time after t = 0 that the objectreaches the position x = 2.6 cm.
4 s

Explanation / Answer

(a) Time period of the motion is T = 2/                                               = 2/8                                               = 0.25s (b) Frequency (f) of the motion is f = / 2                                               = 8 / 2                                               = 4 Hz (c) Amplitude A = 5.4 cm

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