the reason why sound travels faster in solid is because the molecules in solid is more close to each other and they allow the waves of the sound to travel quickly or easily. and same reason why the sound travels fast in liquid that gas, it's because the molecules in liquid is closer to each other than the molecules in gas but they're not as close as solid hence why solid is the fastest at traveling sound
Answer:
λ = 5.656 x 10⁻⁷ m = 565.6 nm
Explanation:
Using the formula of fringe spacing from the Young's Double Slit experiment, which is given as follows:
![\Delta x = \frac{\lambda L}{d}\\\\\lambda = \frac{\Delta x\ d}{L}](https://tex.z-dn.net/?f=%5CDelta%20x%20%3D%20%5Cfrac%7B%5Clambda%20L%7D%7Bd%7D%5C%5C%5C%5C%5Clambda%20%3D%20%5Cfrac%7B%5CDelta%20x%5C%20d%7D%7BL%7D)
where,
λ = wavelength = ?
Δx = fringe spacing = 1.6 cm = 0.016 m
L = Distance between slits and screen = 4.95 m
d = slit separation = 0.175 mm = 0.000175 m
Therefore,
![\lambda = \frac{(0.016\ m)(0.000175\ m)}{4.95\ m}\\\\](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%5Cfrac%7B%280.016%5C%20m%29%280.000175%5C%20m%29%7D%7B4.95%5C%20m%7D%5C%5C%5C%5C)
<u>λ = 5.656 x 10⁻⁷ m = 565.6 nm</u>
The difference between the dfss (design for six sigma) and the dmaic (define, measure, analyze, improve, control) processes only lies in the analyzing stage. To further avert problems, DFSS requires market research data, customer complaints about the product, and attempts to rebuild a new product.
The primary distinction is that DMAIC is a technique that emphasizes making changes to the organization's current goods and services.
On the other hand, DFSS strives to create a new, defect-free good or service that satisfies CTQ requirements and results in customer satisfaction.
Design for Six Sigma (DFSS) is an improvement process that aids companies in producing high-quality new goods and services.
The technique tries to satisfy client expectations while making the most of the company's capabilities during the initial development of a process.
A data-driven quality technique called Define, Measure, Analyze, Improve, and Control (DMAIC) is used to enhance processes.
Learn more about DMAIC here brainly.com/question/6352959
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Answer:
See description
Explanation:
Frist we need to know the longitude of tape which is unwinding. Such relationship can be obtained with arc length. An arc length is the distance bewteen two points in a curve.
The relationship is:
![S = \theta r](https://tex.z-dn.net/?f=S%20%3D%20%5Ctheta%20r)
Where
is the arc length or distance, theta is the angle that results from the initial point of the measure to the final point, and r is the radius of a circumference.
Now let
be length the unwinded tape. Change
by
and you ge the relationship:
![x(t) = \theta r](https://tex.z-dn.net/?f=x%28t%29%20%3D%20%5Ctheta%20r)
if you unwind the tape by one revolution (
) you get the perimeter of a cricle
, if you unwind it two times then
and so on.
Then we have that the derivative of
is ![v(t)](https://tex.z-dn.net/?f=v%28t%29)
so we replace:
![\frac{dx}{dt} = v(t)\\ \frac{dx}{dt}=v(t)=\frac{d\theta}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20v%28t%29%5C%5C%20%5Cfrac%7Bdx%7D%7Bdt%7D%3Dv%28t%29%3D%5Cfrac%7Bd%5Ctheta%7D%7Bdt%7D)
the derivative of theta with respect to t is ω(t) by definition:
![\frac{d\theta}{dt}=\omega(t)\\ =>\frac{dx}{dt}=v(t)=\omega(t) r\\=>\frac{v(t)}{r}=\omega(t)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Ctheta%7D%7Bdt%7D%3D%5Comega%28t%29%5C%5C%20%3D%3E%5Cfrac%7Bdx%7D%7Bdt%7D%3Dv%28t%29%3D%5Comega%28t%29%20r%5C%5C%3D%3E%5Cfrac%7Bv%28t%29%7D%7Br%7D%3D%5Comega%28t%29)
The result is the relationship between angular velocity and the velocity and tangential velocity at the point r