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Please answer this for me completely. I need the help. ​

-160 points SerCP10 13.P028 The position of an object connected to a spring varies with time according to the expression x 4.7 cm) sin(7.9Tt). (a) Find the period of this motion. (b) Find the frequency of the motion. (c) Find the amplitude of the motion. (d) Find the first time after t 0 that the object reaches the position x 2.6 cm. Need Help? Read It My Notes Ask Your Teache

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Answer #1

expression can e compared too:

x = A sin(ωt)

here A = Amplitude

ω = 7.9π

(a) T = 2π/ω

=2π / 7.9π

= 0.253 sec

(b) Frequency = 3.95 Hz

(c) Amplitude = 4.7 cm

(d) x = A sin(ωt)

2.6 = 4.7 sin(7.9πt)

0.553 = sin(7.9πt)

33.58 = 7.9πt

t = 1.353 seconds

     

     

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