Answer:
The diameter of the needle is <u>4.675 cm</u>.
Explanation:
Given:
Volume flow rate is, ![\dot V=103\ cm^3](https://tex.z-dn.net/?f=%5Cdot%20V%3D103%5C%20cm%5E3)
Velocity of air expelled by pump is, ![v=6\ cm/s](https://tex.z-dn.net/?f=v%3D6%5C%20cm%2Fs)
Let the area of the needle be 'A' cm² and the diameter be 'd' cm.
We know that, volume flow rate of the air expelled by pump is given as the product of the needle's area and velocity of air flowing through that area.
Therefore, volume flow rate is given as:
![\dot V=A\times v\\\\103=A\times 6\\\\6A=103\\\\A=\frac{103}{6}\ cm^2](https://tex.z-dn.net/?f=%5Cdot%20V%3DA%5Ctimes%20v%5C%5C%5C%5C103%3DA%5Ctimes%206%5C%5C%5C%5C6A%3D103%5C%5C%5C%5CA%3D%5Cfrac%7B103%7D%7B6%7D%5C%20cm%5E2)
Now, considering the needle to be circular, area of the needle can be written as:
![A=\frac{\pi}{4}\times d^2\\\\\frac{103}{6}=\frac{\pi}{4}\times d^2\\\\d^2=\frac{103\times 4}{6\pi}\\\\d=\sqrt{\frac{103\times 4}{6\pi}}\\\\d=4.675\ cm](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B%5Cpi%7D%7B4%7D%5Ctimes%20d%5E2%5C%5C%5C%5C%5Cfrac%7B103%7D%7B6%7D%3D%5Cfrac%7B%5Cpi%7D%7B4%7D%5Ctimes%20d%5E2%5C%5C%5C%5Cd%5E2%3D%5Cfrac%7B103%5Ctimes%204%7D%7B6%5Cpi%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B%5Cfrac%7B103%5Ctimes%204%7D%7B6%5Cpi%7D%7D%5C%5C%5C%5Cd%3D4.675%5C%20cm)
Therefore, the diameter of the needle is 4.675 cm.
Answer:
White light viewed through a prism is an example of a visible spectrum.
Answer:
Yellow
Explanation:
Since red, green, and blue are primary colors of light, yellow is the only option which is not. So, yellow is not a primary color of light.
Answer:
in computer and writing context it is many styles of writing that you can make the text look like. I.E: <em>helllo </em>hello
Explanation:
A font is the combination of typeface and other qualities, such as size, pitch, and spacing. For example, Times Roman is a typeface that defines the shape of each character. Within Times Roman, however, there are many fonts to choose from -- different sizes, italic, bold, and so on.
Mark me the brainliest plz
Answer:
Gas 2, Gas 3, Gas 4, Gas 5 is the order of decreasing strength of inter-molecular forces.
Explanation:
The strength increases as there is a decrease in the vanderwaals constant and vice versa.