The data table shows how the amplitude of a mechanical wave varies with the energy it carries. Analyze the data to identify the
2 answers:
Energy is define as the capacity for doing work.
Amplitude is the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.
So , the relationship between energy of the wave and the amplitude of the wave is described as the energy transported by a wave is directly proportional to the square of the amplitude of the wave.
Here , If energy is increase the amplitude of wave becomes double.
Hence , the energy of a wave is directly proportional to the square of the amplitude of the wave.
By using the above equation if the amplitude is 6 Units then :
Energy = = 36 units
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Answer:
x = 11.23 m
Explanation:
For this interesting exercise, we must use angular kinematics, linear kinematics and the relationship between angular and linear quantities.
Let's reduce to SI system units
θ = 155 rev (2pi rad / rev) = 310π rad
α = 2.00rev / s2 (2pi rad / 1 rev) = 4π rad / s²
Let's look for the angular velocity at the time the piece is released, with starting from rest the initial angular velocity is zero (wo = 0)
w² = w₀² + 2 α θ
w =√ 2 α θ
w = √(2 4pi 310pi)
w = 156.45 rad / s
The relationship between angular and linear velocity
v = w r
v = 156.45 0.175
v = 27.38 m / s
In this part we have the linear speed and the height that it travels to reach the floor, so with the projectile launch equations we can find the time it takes to arrive
y = t - ½ g t²
As it leaves the highest point its speed is horizontal
y = 0 - ½ g t²
t = √ (-2y / g)
t = √ (-2 (-0.820) /9.8)
t = 0.41 s
With this time we calculate the horizontal distance, because the constant horizontal speed
x = vox t
x = 27.38 0.41
x = 11.23 m