Considering a model of earth with no continents and with no rotation but heated like the real earth. The warm air around the equator and cold air at the poles. In such a model, the chances of possibility of survival are very low as this model doesn't support life on earth.
The rotation of the earth around its axis plays a significant role as its rotation is responsible for the occurrence of changing seasons and weather throughout the year around the globe.
Polar regions are colder than equatorial regions. If the earth stops rotating then the pattern of global winds would completely change.
The exchange of air in the atmosphere will be only in a back-and-forth motion.
Resultantly, the poles will be too cold to survive and the equator too hot to live in due to the hot and warm air around the equator. Unfortunately, this model doesn't support life on earth.
As the earth rotates, it moves warm air masses from the hot hemisphere to the cold hemisphere to maintain the temperature at a moderate level and vice versa. So, in order to maintain survival on earth, its rotation plays a crucial role.
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