Answer:
a) A = 4.0 m
, b) w = 3.0 rad / s
, c) f = 0.477 Hz
, d) T = 20.94 s
Explanation:
The equation that describes the oscillatory motion is
x = A cos (wt + fi)
In the exercise we are told that the expression is
x = 4.0 cos (3.0 t + 0.10)
let's answer the different questions
a) the amplitude is
A = 4.0 m
b) the frequency or angular velocity
w = 3.0 rad / s
c) angular velocity and frequency are related
w = 2π f
f = w / 2π
f = 3 / 2π
f = 0.477 Hz
d) the period
frequency and period are related
T = 1 / f
T = 1 / 0.477
T = 20.94 s
e) the phase constant
Ф = 0.10 rad
f) velocity is defined by
v = dx / dt
v = - A w sin (wt + Ф)
speed is maximum when sine is + -1
v = A w
v = 4 3
v = 12 m / s
g) the angular velocity is
w² = k / m
k = m w²
k = 1.2 3²
k = 10.8 N / m
h) the total energy of the oscillator is
Em = ½ k A²
Em = ½ 10.8 4²
Em = 43.2 J
i) the potential energy is
Ke = ½ k x²
for t = 0 x = 4 cos (0 + 0.1)
x = 3.98 m
j) kinetic energy
K = ½ m v²
for t = 00.1
²
v = A w sin 0.10
v = 4 3 sin 0.10
v = 1.98 m / s
Answer:
A vibration or oscillation is a periodically repeated reversal of the direction of movement.
Explanation:
Une vibration ou une oscillation est une inversion répétée périodiquement de la direction du mouvement.
Here is just another definition.
A vibration is periodic back-and-forth motion centerd around it's equilibrium.
As we move above up from one trophic level to another in
an energy pyramid, what happens to the energy?
a. It decreases from one trophic level to another.
b. It remains the same for each trophic level.
c. It increases from one trophic level to another.
As we move above up from one trophic level to another in
an energy pyramid, the energy level decreases from one trophic level to
another. The answer is letter A.
Answer:
When forces on a object become unbalanced, the object moves.
Explanation:
To 50 decimal places pi=3.14159265358979323846264338327950288419716939937510<span>
Pi is commonly used in its more simpler from, and its most commonly known form of 3.141
I hope this answers your question.</span>