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

The air that we breath is made mostly of which gaseous molecule

Write down two additional questions about earth's magnetic field that will make your presentation more informative.

1. the materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. she knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. she also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four (4) days.2. at what point should resin be reordered? a. 0 kilograms remainingb. 50 kilograms remainingc. 200 kilograms remainingd. 400 kilograms remaininge. 500 kilograms remaining3. if order size was 1,000 kilograms of resin, what would be the length of an order cycle? a. 0.05 daysb. 4 daysc. 16 daysd. 20 dayse. 50 days4. if the order size was 1,000 kilograms of resin, what would be the average inventory level? a. 50 kilogramsb. 200 kilogramsc. 500 kilogramsd. 800 kilogramse. 1,000 kilograms5. if the order size was 1,000 kilograms of resin, what would be the daily total inventory costs, excluding the cost of the resin? a. $5b. $10c. $20d. $25e. $40