1. Express the following angles in radians :
(a) 45.0deg
(b) 60.0deg
(c) 90.0deg
(d) 360.0deg
(e) 445deg.
Give as numerical values and as fractions of pi.
2. A bicycle with tires 68cm in diameter travels 9.2km. How many revolutions do the wheels make?
3. A rotating merry-go-round makes one complete revolution in 4.0s. (a) What is the linear speed of a child seated 1.2m from the center? (b) What is her acceleration(give components)?
4. An automobile engine slows down from 3,500rpm to 1,200rpm in 2.5s. Calculate (a) its angular acceleration. assumed constant, and (b) the total number of revolutions the engine makes in this time.
5. A cooling fan is turned off when it is running at 850rev/min. It turns 1,250revolutions before it comes to a stop. (a) What was the fan's angular acceleration, assumed constant? (b) How long did it take the fan to come to a complete stop?