Answer:
![\omega = 4.5\times 10^{-2} rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%204.5%5Ctimes%2010%5E%7B-2%7D%20rad%2Fs)
Explanation:
Given data:
Rotating cylinder length = 9 mi
diameter of cylinder is 5.9 mi
we know that linear acceleration is given as
a = r ω^2
where ω is angular velocity
so![\omega = \sqrt{\frac{a}{r}}](https://tex.z-dn.net/?f=%20%5Comega%20%3D%20%5Csqrt%7B%5Cfrac%7Ba%7D%7Br%7D%7D)
![r = \frac{5.9}[2} \frac{1609 m}{1 mi} = 4.746\times 10^{3} m](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B5.9%7D%5B2%7D%20%5Cfrac%7B1609%20m%7D%7B1%20mi%7D%20%3D%204.746%5Ctimes%2010%5E%7B3%7D%20m)
![\omega = \sqrt{\frac{9.80}{4.746\times 10^{3}}}](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Csqrt%7B%5Cfrac%7B9.80%7D%7B4.746%5Ctimes%2010%5E%7B3%7D%7D%7D)
![\omega = 4.5\times 10^{-2} rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%204.5%5Ctimes%2010%5E%7B-2%7D%20rad%2Fs)
Answer:
a).β=0.53
T
a).β=0.40
T
Explanation:
The magnetic field at distance 'r' from the center of toroid is given by:
![\beta =\frac{u_{o}*I*N}{2\pi*r}](https://tex.z-dn.net/?f=%5Cbeta%20%3D%5Cfrac%7Bu_%7Bo%7D%2AI%2AN%7D%7B2%5Cpi%2Ar%7D)
a).
![N=500\\I=0.800A\\r=15cm*\frac{1m}{100cm}=0.15m\\u_{o}=4\pi x10^{-7}\frac{T*m}{A} \\\beta=\frac{4\pi x10^{-7}\frac{T*m}{A}*0.8A*500}{2\pi*0.15m} \\\beta=0.53x10^{-3}T](https://tex.z-dn.net/?f=N%3D500%5C%5CI%3D0.800A%5C%5Cr%3D15cm%2A%5Cfrac%7B1m%7D%7B100cm%7D%3D0.15m%5C%5Cu_%7Bo%7D%3D4%5Cpi%20x10%5E%7B-7%7D%5Cfrac%7BT%2Am%7D%7BA%7D%20%20%5C%5C%5Cbeta%3D%5Cfrac%7B4%5Cpi%20x10%5E%7B-7%7D%5Cfrac%7BT%2Am%7D%7BA%7D%2A0.8A%2A500%7D%7B2%5Cpi%2A0.15m%7D%20%5C%5C%5Cbeta%3D0.53x10%5E%7B-3%7DT)
b).
The distance is the radius add the cross section so:
![r_{1}=15cm+5cm\\r_{1}=20cm](https://tex.z-dn.net/?f=r_%7B1%7D%3D15cm%2B5cm%5C%5Cr_%7B1%7D%3D20cm)
![r_{1} =20cm*\frac{1m}{100cm}=0.20m](https://tex.z-dn.net/?f=r_%7B1%7D%20%3D20cm%2A%5Cfrac%7B1m%7D%7B100cm%7D%3D0.20m)
![\beta =\frac{u_{o}*I*N}{2\pi*r1}](https://tex.z-dn.net/?f=%5Cbeta%20%3D%5Cfrac%7Bu_%7Bo%7D%2AI%2AN%7D%7B2%5Cpi%2Ar1%7D)
![\beta =\frac{4\pi x10^{-7}*0.80A*500 }{2\pi*0.20m} \\\beta=0.4x10^{-3} T](https://tex.z-dn.net/?f=%5Cbeta%20%3D%5Cfrac%7B4%5Cpi%20x10%5E%7B-7%7D%2A0.80A%2A500%20%7D%7B2%5Cpi%2A0.20m%7D%20%5C%5C%5Cbeta%3D0.4x10%5E%7B-3%7D%20T)
The thing that happens to the speed of the pulse when you stretch the hose more tightly is that it increases.
<h3>What is wage speed?</h3>
It should be noted that wave speed simply means the distance that a wave travels during a particular time.
It should be noted that higher tension leads to an increase in the speed of the wave.
Therefore, the thing that happens to the speed of the pulse when you stretch the hose more tightly is that it increases.
Learn more about speed on:
brainly.com/question/13943409
#SPJ4
I personally would live on Mars cuz that is red cuz