12.8 rad
Explanation:
The angular displacement
through which the wheel turned can be determined from the equation below:
(1)
where
![\omega_0 = 0](https://tex.z-dn.net/?f=%5Comega_0%20%3D%200)
![\omega = 34.7\:\text{rad/s}](https://tex.z-dn.net/?f=%5Comega%20%3D%2034.7%5C%3A%5Ctext%7Brad%2Fs%7D)
![\alpha = 47.0\:\text{rad/s}^2](https://tex.z-dn.net/?f=%5Calpha%20%3D%2047.0%5C%3A%5Ctext%7Brad%2Fs%7D%5E2)
Using these values, we can solve for
from Eqn(1) as follows:
![2\alpha\theta = \omega^2 - \omega_0^2](https://tex.z-dn.net/?f=2%5Calpha%5Ctheta%20%3D%20%5Comega%5E2%20-%20%5Comega_0%5E2)
or
![\theta = \dfrac{\omega^2 - \omega_0^2}{2\alpha}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cdfrac%7B%5Comega%5E2%20-%20%5Comega_0%5E2%7D%7B2%5Calpha%7D)
![\:\:\:\:= \dfrac{(34.7\:\text{rad/s})^2 - 0}{2(47.0\:\text{rad/s}^2)}](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%20%5Cdfrac%7B%2834.7%5C%3A%5Ctext%7Brad%2Fs%7D%29%5E2%20-%200%7D%7B2%2847.0%5C%3A%5Ctext%7Brad%2Fs%7D%5E2%29%7D)
![\:\:\:\:= 12.8\:\text{rad}](https://tex.z-dn.net/?f=%5C%3A%5C%3A%5C%3A%5C%3A%3D%2012.8%5C%3A%5Ctext%7Brad%7D)
Answer:
276.5 m/s^2
Explanation:
The initial angular velocity of the turbine is
![\omega=0.626 rev/s \cdot 2\pi rad/rev =3.93 rad/s](https://tex.z-dn.net/?f=%5Comega%3D0.626%20rev%2Fs%20%5Ccdot%202%5Cpi%20rad%2Frev%20%3D3.93%20rad%2Fs)
The length of the blade is
r = 17.9 m
So the centripetal acceleration is given by
![a=\omega^2 r](https://tex.z-dn.net/?f=a%3D%5Comega%5E2%20r)
At the instant t = 0,
![\omega=3.93 rad/s](https://tex.z-dn.net/?f=%5Comega%3D3.93%20rad%2Fs)
So the centripetal acceleration of the tip of the blades is
![a=(3.93 rad/s)^2 (17.9 m)=276.5 m/s^2](https://tex.z-dn.net/?f=a%3D%283.93%20rad%2Fs%29%5E2%20%2817.9%20m%29%3D276.5%20m%2Fs%5E2)
Answer:
I believe that the answer is D. There are drilling platforms all along the coast that are used to drill for natural gas that can be used to generate electricity.
Explanation:
Solar panels use the sun, and that is renewable.
The power plant uses tides and waves, they are renewable.
Windmills use wind, that is renewable.
So, the answer is D.