Gravitation - Satellite with same w as earth

[cupid.callin]

Homework Statement

The Attempt at a Solution

as w is same as w of Earth ... so T is 24 hrs

so its like a geostationary satellite
if i use w to find distance ... it comes like 42300 KM
if we used t=24 hrs to find distance ... it comes 36000 KM

what the hell is this? ... 1 question 2 answers?

and answer to (b) is 6hrs
so Time period is 24hrs is confirmed

 

[gneill]

Show your calculations both ways. At least one of them has an error.

It might be of interest to know that the rotational period of the Earth on its axis is not quite 24 hours. The sidereal day is 23h 56m 4.091s, or 23.9344696 hours.

 

[cupid.callin]

Show your calculations both ways. At least one of them has an error.

It might be of interest to know that the rotational period of the Earth on its axis is not quite 24 hours. The sidereal day is 23h 56m 4.091s, or 23.9344696 hours.

Oh I'm really sorry.
i did a question to find height of geostationary satellite above Earth surface and memorized it incorrectly as orbital radius

36000KM + 6400KM ≈ 42300KM