Answer:
a).![v=83.77x10^{-3} rad/s](https://tex.z-dn.net/?f=v%3D83.77x10%5E%7B-3%7D%20rad%2Fs)
b).
rpm
c).v=0.5865 m/sec.
Explanation:
Given:
![r=8m](https://tex.z-dn.net/?f=r%3D8m)
![v=\frac{2rev}{2.5minutes}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B2rev%7D%7B2.5minutes%7D)
a).
![2 rev*\frac{2\pirad}{1rev}=4\pi rad](https://tex.z-dn.net/?f=2%20rev%2A%5Cfrac%7B2%5Cpirad%7D%7B1rev%7D%3D4%5Cpi%20%20rad)
![t=2.5minutes*\frac{60s}{1minute}=150s](https://tex.z-dn.net/?f=t%3D2.5minutes%2A%5Cfrac%7B60s%7D%7B1minute%7D%3D150s)
The angular speed in radians per seconds is
![v=\frac{4\pi}{150s}=83.77x10^{-3} rad/s](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B4%5Cpi%7D%7B150s%7D%3D83.77x10%5E%7B-3%7D%20rad%2Fs)
b).
![v=\frac{2rev}{2.5minute}rpm](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B2rev%7D%7B2.5minute%7Drpm)
rpm
c)
Child's distance per revolution
(pi*2r) = 43.988 metres.
v=(43.988 x 0.0133333) = 0.5865 m/sec.
The electric field across the plates is defined by
E = V / d .............. where V is the potential difference and d the distance that separates the plates.
E = 12 Volts/ 0.25 meters = 48 V/m