Is there a multiple choice?
Answer:
ω = 0.05 rad/s
Explanation:
We consider the centripetal force acting as the weight force on the surface of the cylinder. Therefore,
![Centripetal Force = Weight\\\frac{mv^{2}}{r} = mg\\\\here,\\v = linear\ speed = r\omega \\therefore,\\\frac{(r\omega)^{2}}{r} = g\\\\\omega^{2} = \frac{g}{r}\\\\\omega = \sqrt{\frac{g}{r}}\\](https://tex.z-dn.net/?f=Centripetal%20Force%20%3D%20Weight%5C%5C%5Cfrac%7Bmv%5E%7B2%7D%7D%7Br%7D%20%3D%20mg%5C%5C%5C%5Chere%2C%5C%5Cv%20%3D%20linear%5C%20speed%20%3D%20r%5Comega%20%5C%5Ctherefore%2C%5C%5C%5Cfrac%7B%28r%5Comega%29%5E%7B2%7D%7D%7Br%7D%20%3D%20g%5C%5C%5C%5C%5Comega%5E%7B2%7D%20%3D%20%5Cfrac%7Bg%7D%7Br%7D%5C%5C%5C%5C%5Comega%20%3D%20%5Csqrt%7B%5Cfrac%7Bg%7D%7Br%7D%7D%5C%5C)
where,
ω = angular velocity of cylinder = ?
g = required acceleration = 9.8 m/s²
r = radius of cylinder = diameter/2 = 5.9 mi/2 = 2.95 mi = 4023.36 m
Therefore,
![\omega = \sqrt{\frac{9.8\ m/s^{2}}{4023.36\ m}}\\\\](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Csqrt%7B%5Cfrac%7B9.8%5C%20m%2Fs%5E%7B2%7D%7D%7B4023.36%5C%20m%7D%7D%5C%5C%5C%5C)
<u>ω = 0.05 rad/s</u>
Explanation:
Contact, vision, sound, flavor, and smell are all markers of energy transformations. The most basic example would be when we notice something has begun to pass through vision. Whenever an entity accelerates or slows down, energy is constantly transformed.
Answer:
(D)
Explanation:
Given :
l=3.5 m
![m^{2}](https://tex.z-dn.net/?f=m%5E%7B2%7D)
![p=1.7*10^{-8} ohm.m](https://tex.z-dn.net/?f=p%3D1.7%2A10%5E%7B-8%7D%20%20ohm.m)
Resistance can be calculated as :
![R=p\frac{l}{A} \\R=1.7*10^{-8} \frac{3.5}{5.26*10^{-6} }](https://tex.z-dn.net/?f=R%3Dp%5Cfrac%7Bl%7D%7BA%7D%20%5C%5CR%3D1.7%2A10%5E%7B-8%7D%20%5Cfrac%7B3.5%7D%7B5.26%2A10%5E%7B-6%7D%20%7D)
![R=\frac{5.95*10^{-2} }{5.26} \\R=1.13*10^{-2}](https://tex.z-dn.net/?f=R%3D%5Cfrac%7B5.95%2A10%5E%7B-2%7D%20%7D%7B5.26%7D%20%5C%5CR%3D1.13%2A10%5E%7B-2%7D)
Resistance of the wire will be 1.1×
ohms
Option D is correct