Question

An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate its speed if it takes 24 hours to revolve around the earth? Please

Answer 1

Explanation:

Distance covered by the satellite in 24 hours

s=2πr

=2×3.14×42250=265464.58 km

Therefore speed of satellite,

v=

time taken

distance travelled

=

24×60×60

265464.58

=3.07 km s

−1

Answer 2

Answer:

3.069 km/s.

Explanation:

Given :

• Radius,r = 42250 km.
• Time,t =24 hour

To Find :

• Speed

Solution :

Radius of the circular orbit, r=42250

Time taken to revolve around the earth, t= 24 h

Speed of a circular moving object,

$\sf{}v=\dfrac{2\pi r}{t}}$

$\Rightarrow \sf{\dfrac{2\times3.15\times42250}{24}}$

$\Rightarrow \sf{}1.105\times 10^4km/h$

$\sf{}\Rightarrow 3.069km/s$

Hence, the speed of the artificial satellite is 3.069 km/s.