The Moment of Inertia of the Disc is represented by
. (Correct answer: A)
Let suppose that the Disk is a Rigid Body whose mass is uniformly distributed. The Moment of Inertia of the element is equal to the Moment of Inertia of the entire Disk minus the Moment of Inertia of the Hole, that is to say:
(1)
Where:
- Moment of inertia of the Disk.
- Moment of inertia of the Hole.
Then, this formula is expanded as follows:
(1b)
Dimensionally speaking, Mass is directly proportional to the square of the Radius, then we derive the following expression for the Mass removed by the Hole (
):
![\frac{m}{M} = \frac{R^{2}}{4\cdot R^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7BM%7D%20%3D%20%5Cfrac%7BR%5E%7B2%7D%7D%7B4%5Ccdot%20R%5E%7B2%7D%7D)
![m = \frac{1}{2}\cdot M](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20M)
And the resulting equation is:
![I = \frac{1}{2}\cdot M\cdot R^{2} -\frac{1}{2}\cdot \left(\frac{1}{4}\cdot M \right) \cdot \left(\frac{1}{4}\cdot R^{2} \right)](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20M%5Ccdot%20R%5E%7B2%7D%20-%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20M%20%5Cright%29%20%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20R%5E%7B2%7D%20%5Cright%29)
![I = \frac{1}{2} \cdot M\cdot R^{2} - \frac{1}{32}\cdot M\cdot R^{2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ccdot%20M%5Ccdot%20R%5E%7B2%7D%20-%20%5Cfrac%7B1%7D%7B32%7D%5Ccdot%20M%5Ccdot%20R%5E%7B2%7D)
![I = \frac{15}{32}\cdot M\cdot R^{2}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B15%7D%7B32%7D%5Ccdot%20M%5Ccdot%20R%5E%7B2%7D)
The moment of inertia of the Disc is represented by
. (Correct answer: A)
Please see this question related to Moments of Inertia: brainly.com/question/15246709
The efficiency of a light source is the percentage of its energy input that gets radiated as visible light if some of the blue light in an led is used to cause a fluorescent material to glow the overall efficiency of the LED decreases.
How efficient is LED?
Different wavelengths that correlate to different visible colours are used in LED light therapy. Various shades pierce the skin at different rates.
- Your skin's outermost layer is impacted by blue light.
- Yellow light is more enveloping.
- Red light penetrates your skin more deeply.
- The deepest penetrating light is near-infrared.
Different LED hues have various effects. For instance, according to experts red LED light therapy has the potential to reduce inflammation and boost collagen formation, which declines with age and is crucial for maintaining youthful-looking skin.
Acne-causing bacteria may be destroyed by a blue LED light therapy (P. acnes).
Hence the answer is the overall efficiency of the LED decreases.
Learn more about wavelength here,
brainly.com/question/1263539
# SPJ4
Answer:
0.6kg
Explanation:
the unknown here is the mass of the second block
applying the law of the conservation of momentum
m₁v₁ + m₂v₂ = (m₁ + m₂) v₃
where m₁=mass of first block=2.2kg
m₂=mass of colliding block= ?
v₁= velocity of first block=1.2m/s
v₂=velocity of colliding block=4.0m/s
v₃= final velocity of combined block=1.8m/s
applying the formula above
(2.2 × 1.2) + (m₂ × 4) = (2.2 + m₂) × 1.8
2.64 + 4m₂ = 3.96 + 1.8m₂
collecting like terms
4m₂ - 1.8m₂ = 3.96 - 2.64
2.2m₂=1.32
divide both sides by 2.2
m₂= 0.6kg
<span>The angle of reflection is C). the angle that the reflected ray makes with a line drawn perpendicular to the reflecting surface, that way the reflection can be seen.
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Scattering occurs when light changes direction after colliding with particles of matter.