After a nuclear apocalypse on Earth, humans have built a space station known as the Ark. It hasmultiple sections controlled by different political factions, but one thing they all have in commonis the need for artificial gravity. This is done in each section by setting a piece of the Arkspinning around the central axis of the station. The largest section of the station is a completering with a radius of 1000 m.

a) What is the rotational velocity required to simulate gravity?

b) One day on Earth is the defined by the amount of time it takes the Earth to rotate oncearound its axis and is 86,400 s. How many seconds is one “day” on this section of thestation?

c) When an inhabitant standing as they would on Earth, In which direction do their headspoints? (which piece of the station)