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I just dont know how to do problem 2e and 3. 1. Find the period and the frequenc

ID: 1495051 • Letter: I

Question

I just dont know how to do problem 2e and 3.

1. Find the period and the frequency of an object that oscillates 30 times in 44 seconds.

Answer:1.47Hz

2. In the sample graph (shown below), find the value of each of the following quantities:

a. amplitude

Answer: .1m

b. frequency

Answer:.83 Hz

c. maximum velocity

Answer: .523 m/s

d. maximum acceleration

Answer:2.72 m/s^2

e. initial phase angle ( on position - time graph)

(I have no idea how to do this one. Please help.)

3.In the sample graph, at t=0.9 seconds, y = maximum. What isthe value of v and a of the object?Also, at t1.2 sec., y is at the midpoint of its oscillation. What is the value of v and a of the object?

(I have no idea how to do this one. Please help.)

Simple Harmonic Motion 0.1 Displacemert meters yit -0.05 0.1 2.5 0.5 Time (seconds

Explanation / Answer

2. e. For the given graph, rthe equation is A*sin(wt + phi)
at t = 0
Asin(phi) = 0
phi = 180 degrees [ initial phase angle]
3. w = 2*pi*f
x = 0.1sin(2*3.14*0.83t + pi) = 0.1sin(5.2124t + pi)
v = 0.52124cos(5.2124t + pi)

at t = 0.9 s, A is max, and v = 0
at t = 1.2 s, x = A/2 = 0.05m, v = -0.52107 m/s