Final answer:
The orbital period of an object in a circular orbit at 2270km is approximately 4895 minutes.
Step-by-step explanation:
To calculate the orbital period of an object in a circular orbit, we can use the formula T = 2πr/v
Where
T is the period
r is the radius of the orbit
v is the orbital velocity.
In this case, the object is in a circular orbit at a distance of 2270 km.
Let's convert this distance to meters: 2270 km = 2270000 m.
We can substitute these values into the formula to find the orbital period:
T = 2 × π × 2270000 m / 47 km/s
T ≈ 2.927 × 10⁵ s ≈ 4895 minutes
So therefore the orbital period is approximately 4895 minutes.