Answer:
Radio waves have longer wavelength
Explanation:
Radio wave is an electromagnetic frequency that has the ability to travel through long distance. They have frequencies shuttling been the range of 10^4 hz and a frequency of 10^12 hz
Light wave is also called visible light. This is because it is visible to the naked eye, despite it being in the electromagnetic spectrum. It's frequency is usually between 4*10^-7 hz and a frequency of 7*10^-7 hz.
As can be seen from both, the radio waves length are quite far stronger than that of the light waves.
1). The object winds up in a different location.
2). Work is done.
Answer:
The group that remains unaltered is called the control group.
Answer:
(a) ![\alpha = - 1.32\ rev/m^{2}](https://tex.z-dn.net/?f=%5Calpha%20%3D%20-%201.32%5C%20rev%2Fm%5E%7B2%7D)
(b) ![\theta = 13674\ rev](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2013674%5C%20rev)
(c) ![\alpha_{tan} = 8.75\times 10^{- 4}\ m/s^{2}](https://tex.z-dn.net/?f=%5Calpha_%7Btan%7D%20%3D%208.75%5Ctimes%2010%5E%7B-%204%7D%5C%20m%2Fs%5E%7B2%7D)
(d) ![a = 22.458\ m/s^{2}](https://tex.z-dn.net/?f=a%20%3D%2022.458%5C%20m%2Fs%5E%7B2%7D)
Solution:
As per the question:
Angular velocity, ![\omega = 190\ rev/min](https://tex.z-dn.net/?f=%5Comega%20%3D%20190%5C%20rev%2Fmin)
Time taken by the wheel to stop, t = 2.4 h = ![2.4\times 60 = 144\ min](https://tex.z-dn.net/?f=2.4%5Ctimes%2060%20%3D%20144%5C%20min)
Distance from the axis, R = 38 cm = 0.38 m
Now,
(a) To calculate the constant angular velocity, suing Kinematic eqn for rotational motion:
![\omega' = \omega + \alpha t](https://tex.z-dn.net/?f=%5Comega%27%20%3D%20%5Comega%20%2B%20%5Calpha%20t)
= final angular velocity
= initial angular velocity
= angular acceleration
Now,
![0 = 190 + \alpha \times 144](https://tex.z-dn.net/?f=0%20%3D%20190%20%2B%20%5Calpha%20%5Ctimes%20144)
![\alpha = - 1.32\ rev/m^{2}](https://tex.z-dn.net/?f=%5Calpha%20%3D%20-%201.32%5C%20rev%2Fm%5E%7B2%7D)
Now,
(b) The no. of revolutions is given by:
![\omega'^{2} = \omega^{2} + 2\alpha \theta](https://tex.z-dn.net/?f=%5Comega%27%5E%7B2%7D%20%3D%20%5Comega%5E%7B2%7D%20%2B%202%5Calpha%20%5Ctheta)
![0 = 190^{2} + 2\times (- 1.32) \theta](https://tex.z-dn.net/?f=0%20%3D%20190%5E%7B2%7D%20%2B%202%5Ctimes%20%28-%201.32%29%20%5Ctheta)
![\theta = 13674\ rev](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2013674%5C%20rev)
(c) Tangential component does not depend on instantaneous angular velocity but depends on radius and angular acceleration:
![\alpha_{tan} = 0.38\times 1.32\times \frac{2\pi}{3600} = 8.75\times 10^{- 4}\ m/s^{2}](https://tex.z-dn.net/?f=%5Calpha_%7Btan%7D%20%3D%200.38%5Ctimes%201.32%5Ctimes%20%5Cfrac%7B2%5Cpi%7D%7B3600%7D%20%3D%208.75%5Ctimes%2010%5E%7B-%204%7D%5C%20m%2Fs%5E%7B2%7D)
(d) The radial acceleration is given by:
![\alpha_{R} = R\omega^{2} = 0.32(80\times \frac{2\pi}{60})^{2} = 22.45\ rad/s](https://tex.z-dn.net/?f=%5Calpha_%7BR%7D%20%3D%20R%5Comega%5E%7B2%7D%20%3D%200.32%2880%5Ctimes%20%5Cfrac%7B2%5Cpi%7D%7B60%7D%29%5E%7B2%7D%20%3D%2022.45%5C%20rad%2Fs)
Linear acceleration is given by:
![a = \sqrt{\alpha_{R}^{2} + \alpha_{tan}^{2}}](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7B%5Calpha_%7BR%7D%5E%7B2%7D%20%2B%20%5Calpha_%7Btan%7D%5E%7B2%7D%7D)
![a = \sqrt{22.45^{2} + (8.75\times 10^{- 4})^{2}} = 22.458\ m/s^{2}](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%7B22.45%5E%7B2%7D%20%2B%20%288.75%5Ctimes%2010%5E%7B-%204%7D%29%5E%7B2%7D%7D%20%3D%2022.458%5C%20m%2Fs%5E%7B2%7D)