Agrinding wheel is spinning with an initial angular velocity +ω0. when its motor is turned off at t=0, it begins to slow down with an angular acceleration −α. derive an expression for the number of revolutions that the wheel will rotate through before coming to rest. express your answer in terms of the variables ω0 and α, and the constant π.

Why is rain likely when warm, moisture-laden air meets cold air? a) the lighter warm air will rise and cool down, causing condensation and rain. b) the cold air moves faster and pushes the warm air away, causing condensation and rain. c) the moisture in the warm air condenses on contact with the cold air, causing rain to fall. d) the cold air mixes with the warm air, reducing its temperature causing moisture to condense.