# Question #e9a9e

Jun 30, 2016

Option (1)

#### Explanation:

Given tha the length of the cylindrical shaped artificial sattelite is 20 m and it is rotating about an axis which is perpendicilar bisector of the axial length (20m) of the satellite.So the radius of rotation is $r = 10 m$. If w is the angular velocity of rotation then the centrifugal acceleration produced due to this rotation will creat artificial gravity $4.9 \frac{m}{s} ^ 2$

So we can write

$\text{Centrifugal acceleration } = {w}^{2} \cdot r = 4.9$

$\implies {w}^{2} \cdot 10 = 4.9 \implies {w}^{2} = 0.49 \implies w = 0.7$

$2 \pi \times n = 0.7$,where n = frequency of rotation

$\therefore n = \frac{0.7}{2 \cdot \pi} \approx 0.1 H z$