If one revolution of the Earth is twenty four hours why isn't noon in the summer midnight in the winter?

A day (noon to noon) is not the same as the Earth turning through 360 degrees

So the number of earth rotations in one orbit is 366.25636042 earth rotations

The time it takes for Earth to orbit the sun is:

365.25636042 solar days (that is if you measure a day as noon to noon - i.e. from the sun at highest point to the next time its at highest point)

This is longer than a calendar year because of precession and we measure a calendar year from Spring Equinox to Spring Equinox, which is not quite 360 degrees (it's ~20 mins shorter)

look up solar day and sidereal day on wikipedia

You have discovered an important concept in Astronomy all by yourself--congratulations for being an independent thinker!

A solar day is when the sun is directly overhead.

A sidereal day is (basically) when the same star is directly overhead.

You are right that they are different concepts, and our solar days drift a little each day to keep noon in the daytime.

From Wikipedia:

During the time needed by the Earth to complete a rotation around its axis (a sidereal day), the Earth moves a short distance (around 1°) along its orbit around the sun. Therefore, after a sidereal day, the Earth still needs to rotate a small extra angular distance before the sun reaches its highest point. A solar day is, therefore, around 4 minutes longer than a sidereal day.

I'm not sure how you equate the Earth's orbit around the sun (which gives us our seasons such as summer and winter) with the daily rotation of the Earth on its axis (which gives us our day and night).

The Earth rotates once in 23 hours 56 minutes, 4 seconds with respect to the stars (our sidereal day). However noon to noon is its rotation with respect the sun, which is a little longer (24 hours).

The "pointed towards the sun" you refer to is the tilt of the Earth's axis. In June, the northern hemisphere is tilted towards the sun - this is what gives the northern hemisphere summer in June (winter in the southern hemisphere).

In December, the northern hemisphere is tilted away from the sun, giving us northern winter (southern summer).

The rotation of the Earth on its axis and its orbital period around the sun (year) are not related to each other.

Noon is defined as when the sun is directly overhead. Midnight is when the sun is dierctly overhead the opposite meridian (Other side of the world).

A rotation is when something spins on its own axis. The Earth rotates once every approximately 24 hours.

A revolution is when someting goes around something else. The Earth revolves around the sun. One revolution is a year.

I think you confused those terms. Also your conclusino of the length of a day does not follow from your premises, which themselves are not logical.

Sorry.

well you're right, there is a solar day based on the position of the sun, and a sidereal day based on the position of the "fixed" stars. the solar day is slightly longer than the sidereal day. but it is the solar day that is defined to be 24 hours, not the sidereal day.

well first, not to be rude or anything, but i think you are talking about a rotation, a revolution is a 365.243 day trip around the sun. and one rotation is 23.7 hours in a day. if your information is reliable, than there would be a leap year every two years.

(used spell check!)

Because by definition, Noon is when the Sun is directly overhead (straight up).

The total time of one day is exactly 23.7 hours.