1 year
30,685 Earth days, about 84 Earth years
A lunar cycle is the time it takes for the moon to make a full revolution around the Earth. It takes about 29.5 days.
It takes mars twice as long to make a full revolution around the sun than it takes earth.
A full revolution around Earth takes about 27 1/2 days. A full cycle (from full moon to full moon for example) takes a bit longer: 29 1/2 days.
Phases of the moon are caused by the revolution of the moon around the Earth and the revolution of the Earth around the sun. As long as the moon revolves around the Earth as it does, the lunar cycle from full to new to full again will take about 29½ days. We will be having about twelve and a third moon cycles every year until these facts change.
one day
It takes Mercury 1407.6 Earth hours to make one full rotation around its axis.
27.32 days
There are approximately 86,400 seconds in one full revolution of the Earth.
A revolution is a complete orbit around the Sun. It takes earth about 365.25 days to orbit the Sun.
That's not called "rotation", but "revolution". A full revolution is about 27 1/2 days; divide this by four to get the average time for a quarter revolution.