Question

an artificial planet is moving in a circular orbit of radius 4200km . calculate the speed is it take 24 hours to revolve around the earth​

Answer 1

Explanation:

distance covered by the satellite. in 24hours= 2πr

= 2*3.14*4200

= 2637

Therefore speed of satellite

v= distance travelled by satellite

_____________________

time taken

2637

________ = 0.0305 km /s

24*60*60

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Answer 2

Given :-

Radius of an artificial planet is moving in a circular orbit = 4200 km

Tike taken to revolve earth = 24 hours

To Find :-

The speed required.

Solution :-

We know that,

• c = Circumference
• s = Speed
• r = Radius
• d = Distance
• t = Time

Using the formula,

$\underline{\boxed{\sf Circumference \ of \ a \ circle=2 \pi r}}$

Given that,

Radius (r) = 4200 km

Substituting their values,

= 2 × 3.14 × 42250

= 265464.58 km

Using the formula,

$\underline{\boxed{\sf Speed=\dfrac{Distance \ travelled}{Time \ taken} }}$

Given that,

Distance travelled (d) = 265464.58 km

Time taken (t) = 24 × 60 × 60

Substituting their values,

s = 265464.58/24 × 60 × 60

s = 265464.58/86400

s = 3.07 km s⁻¹

Therefore, the speed required is 3.07 km s⁻¹.