Answer:
The number of turns is ![N = 1750 \ turns](https://tex.z-dn.net/?f=N%20%20%3D%201750%20%5C%20turns%20)
Explanation:
From the question we are told that
The inner radius is ![r_i = 12.0 \ cm = 0.12 \ m](https://tex.z-dn.net/?f=r_i%20%3D%20%2012.0%20%5C%20%20cm%20%20%3D%20%200.12%20%5C%20%20m)
The outer radius is ![r_o = 15.0 \ cm = 0.15 \ m](https://tex.z-dn.net/?f=r_o%20%3D%20%2015.0%20%5C%20%20cm%20%20%3D%20%200.15%20%5C%20%20m)
The current it carries is ![I = 1.50 \ A](https://tex.z-dn.net/?f=I%20%3D%20%201.50%20%5C%20%20A)
The magnetic field is ![B = 3.75 mT = 3.75 *10^{-3} \ T](https://tex.z-dn.net/?f=B%20%20%3D%20%20%203.75%20mT%20%3D%203.75%20%2A10%5E%7B-3%7D%20%5C%20%20T)
The distance from the center is ![d = 14.0 \ cm = 0.14 \ m](https://tex.z-dn.net/?f=d%20%3D%20%2014.0%20%5C%20cm%20%20%3D%20%200.14%20%5C%20%20m)
Generally the number of turns is mathematically represented as
![N = \frac{2 * \pi * d * B}{ \mu_o * r_o }](https://tex.z-dn.net/?f=N%20%20%3D%20%20%5Cfrac%7B2%20%2A%20%20%5Cpi%20%20%2A%20d%20%20%2A%20%20B%7D%7B%20%5Cmu_o%20%2A%20%20r_o%20%7D)
Generally
is the permeability of free space with value
![\mu_o = 4\pi * 10^{-7} \ N/A^2](https://tex.z-dn.net/?f=%5Cmu_o%20%20%3D%20%204%5Cpi%20%2A%2010%5E%7B-7%7D%20%5C%20N%2FA%5E2)
So
![N = \frac{2 * 3.142 * 0.14 * 3.75 *10^{-3} }{ 4\pi * 10^{-7} * 0.15 }](https://tex.z-dn.net/?f=N%20%20%3D%20%20%5Cfrac%7B2%20%2A%20%203.142%20%20%20%2A%200.14%20%2A%20%203.75%20%2A10%5E%7B-3%7D%20%7D%7B%204%5Cpi%20%2A%2010%5E%7B-7%7D%20%20%2A%200.15%20%20%7D)
![N = 1750 \ turns](https://tex.z-dn.net/?f=N%20%20%3D%201750%20%5C%20turns%20)
Answer:
<em>b. Observe the radio waves coming from all dark matter; from the strength of the radio waves from each cluster, estimate the amount of dark matter needed to produce them.</em>
<em></em>
Explanation:
The universe is thought to be made up of 85% dark matters. <em>Dark matter is called dark because it does not appear to interact with the electromagnetic field, which means it doesn't absorb, reflect or emit electromagnetic radiation, and is therefore difficult to detect. This means that option b is wrong since radio wave is an electromagnetic wave</em>. Dark matter is a form of matter that makes up about a quarter of the total mass–energy density of the universe. Dark matter was theorized due a variety of astrophysical observations and gravitational effects that cannot be explained by accepted theories of gravity unless there were more matter in the universe than can be seen.
Answer:
The average linear velocity (inches/second) of the golf club is 136.01 inches/second
Explanation:
Given;
length of the club, L = 29 inches
rotation angle, θ = 215⁰
time of motion, t = 0.8 s
The angular speed of the club is calculated as follows;
![\omega = (\frac{\theta}{360} \times 2\pi, \ rad) \times \frac{1}{t} \\\\\omega = (\frac{215}{360} \times 2\pi, \ rad) \times \frac{1}{0.8 \ s} \\\\\omega = 4.69 \ rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%20%28%5Cfrac%7B%5Ctheta%7D%7B360%7D%20%5Ctimes%202%5Cpi%2C%20%5C%20rad%29%20%5Ctimes%20%5Cfrac%7B1%7D%7Bt%7D%20%5C%5C%5C%5C%5Comega%20%3D%20%20%28%5Cfrac%7B215%7D%7B360%7D%20%5Ctimes%202%5Cpi%2C%20%5C%20rad%29%20%5Ctimes%20%5Cfrac%7B1%7D%7B0.8%20%5C%20s%7D%20%5C%5C%5C%5C%5Comega%20%3D%204.69%20%5C%20rad%2Fs)
The average linear velocity (inches/second) of the golf club is calculated as;
v = ωr
v = 4.69 rad/s x 29 inches
v = 136.01 inches/second
Therefore, the average linear velocity (inches/second) of the golf club is 136.01 inches/second
When talking about orbits, it would have to be a mixture of both A. and B. since Newton's first law, gravity plays a huge part in an orbit. However, the universal gravitation law also tells us the relationship between two massive objects in orbit. But to choose only one, it would have to be B. Newton's first law
Answer:
The options are
a. Sally is a very creative kind of person who likes to build things.
b. Jerry only works because he receives a very large income.
c. Rikki is usually shy, but at work she appears to be quite outgoing.
d. Maury gives money to charities because he wants other people to think he is very generous.
The answer is c. Rikki is usually shy, but at work she appears to be quite outgoing.
Lewin's interactionist perspective explains that an individual’s behavior is usually dependent on his personal behavior/ trait and the environment. The best option is that Rikki is usually shy which is her personal behavior but at work she appears to be quite outgoing due to her environment.