Question

A satellite is in a circular orbit around a planet, Its period of revolution is T, radius of the orbit is R, orbital velocity V and acceleration 'a', then:

• A. $V=at$ and $a=\frac{V^2}{R}$
• B. $V=\frac{2\pi R}{T}$ and $V=aT$
• C. $V=\frac{2\pi R}{T}$ and $a=\frac{V^2}{R}$
• D. $V=\frac{1}{2}a{T}^2$

Answer 1

The correct option is C $V=\frac{2\pi R}{T}$ and $a=\frac{V^2}{R}$

As the satellite is performing uniform circular motion.

Centripetal acceleration $\left(a\right)=\frac{v^2}{R}$

$v=wR$

As $w=2nf\Rightarrow w=\frac{2\pi }{T}$

So, $v=\frac{2\pi R}{T}$

Option C is correct.