What is the meaning of lightyear?
1 answer:
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0.22 m/s is the speed when the displacement is 1.75 cm.
Given:
A simple harmonic oscillator has;
Amplitude (A) =3.50 cm = 0.035 m
Maximum Speed (Vmax) = 26.0 cm/s = 0.26 m/s
Displacment (d) = 1.75cm =0.0175 m
The displacement d, whose maximum is the amplitude A , is expressed as:
∴ d = A Sin wt
= Sin wt
t = Sin⁻¹ (
)
v = - Aw cos wt
v = - Aw cos w [ sin⁻¹ (
) ]
v = - Aw cos [ sin⁻¹ () ]
Speed, v = Vmax cos [ sin⁻¹ () ] ∵ Vmax = Aw
v = 0.26 cos [ sin⁻¹ ( ) ]
v = 0.22 m/s
Therefore, 0.22 m/s is the speed when the displacement is 1.75 cm.
Learn more about simple harmonic motion here:
#SPJ4
1) Magnitude
Let's take south as positive y-direction and east as positive x-direction. Then we have to resolve both displacements into their respective components:
So, the components of the total displacement are
east (so, 1.26 km west)
south
So, the magnitude of the resultant displacement is
2) Direction
the direction of the hiker's displacement is
south of west.