Question

5. An artificial satellite takes 24 hours to revolve
around the earth while moving in a circular orbit
of radius 40,000 km. What is its speed in km/s?​

Answer 1

$\large{\underline{\sf{\red{Find:\rightarrow}}}}$

• Speed in km/s

$\large{\underline{\sf{\green{SoLution:\rightarrow}}}}$

Distance covered by the satellite in 24 hours

• $\boxed{\sf{\red{s= 2 \pi r} }}$

$\sf{s=2\times 3.14\times 40000= 251200km}$

Therefore speed of satellite,

• $\boxed{\bf{\pink{v= \dfrac{Distance\ travelled}{time}}}}$

Put value in this formula we get,

$\sf{v= \dfrac{251200}{24\times 60 \times 60}}$

$\sf{v= \dfrac{251200} {86400}= 0.29 }$

$\boxed{\green{\bigstar\underline{\bf{\therefore v= 2.9km/s \bigstar }}}}$

_______________________

Answer 2

Answer:

2.90km/s

Explanation:

Given :

• Time(t) = 24h

• Radius(r) = 40000km

To Find :

• Speed in km/s

Solution :

Distance covered by the satellite => 2 × π × r

$\sf{}\Rightarrow 2\times 3.14\times 40000$

$\sf{}\Rightarrow 251200 km$

Time taken => 24h

=> 24 × 60 × 60

=> 86400 seconds

$\sf{}We\ know\ Speed = \dfrac{Distance}{Time}$

Put thier values and solve it.

$\sf{}\Rightarrow Speed=\dfrac{251200}{86400}$

$\sf{}\Rightarrow 2.90 km/s$

Therefore,Speed is equal to 2.90km/s