A particle's displacement from equilibrium is given by x(t) = 0.32cos(3.4t + ?/4), where x is...
A particle's displacement from equilibrium is given by x(t) = 0.32cos(3.4t + ?/4), where x is in meters and t is in seconds.
| f | = | Hz |
| T | = | s |
Homework Answers
w = 3.4
f = w/2pi = 3.4 / (6.28) = 0.54 Hz
T = 1/f = 1.85 s
Vx = dx/dt = -0.32*3.4*sin(3.4t + pi/4) = -1.088sin(3.4t + pi/4)
Maximum velocity = 1.088 m/s
a) omega = 2pifrequency =3.4
so, frequency = 3.4/2/pi =0.541 Hz
1/frequency = time,t = 1/0.514 = 1.84 seconds
b)v = dx/dt = -0.32*3.4*sin(3.4t + ?/4)
V =-1.088*sin(3.4t +
?/4)
c)maximum velocity = 1.088 m/s
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