Awheel is rotating about an axis that is in the

z-direction. the angular velocity ωz is -6.00 rad/s at t = 0, increases linearly with time, and is +4.00 rad/s at t = 16.0 s . we have taken counterclockwise rotation to be positive.

part a

is the angular acceleration during this time interval positive or negative?

part b

how long is the time interval during which the speed of the wheel is increasing?

express your answer with the appropriate units.

part c

how long is the time interval during which the speed of the wheel is decreasing?

express your answer with the appropriate units.

part d

what is the angular displacement of the wheel from t = 0 s to t = 16.0 s

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

Specific heat refers to the amount of heat required to change 1 gram of a substance by degree(s) celsius

Against his financial advisor's advice, frank has decided to invest his money in some risky stocks because he once made quite a bit of money in the stock market. his decision illustrates a. the representativeness heuristic b. overconfidence c. the availability heuristic d. confirmation bias select the best answer from the choices provided