1. A surveyor uses a wheel that is 18 inches in diameter to measure distance along the roadway. If it rotates around 27 times, how far in feet has the wheel rolled? Show, or describe the steps you take to get your answer.

2. A generator slows from 450 rpm to 380 rpm when a load is applied. The speed reduction happens in 1.2 sec. What is its angular acceleration?

a. 440

b. 0.97

c. 6.1

d. 1.17

3.A figure skater is spinning at 2 rev/sec, and slows to a stop in 8 sec. What is his angular acceleration, in rad/s²?

a. -0.564

b. -1.57

c. -3.14

d. -6.28

4.What angle is traversed, in radians, if starting from rest and accelerating at 10 s^-2 for 12 seconds.

a. 360

b. 72

c. 1440

d. 720

5.A motorcycle engine revs up from 2000 to 11,000 rpm in 6 seconds. How many revolutions does it go through in that time? Show, or describe, the steps you take to get your answer.

6.A fly lands on the edge of a 12 inch diameter record spinning on a turntable. How many feet does it travel if it stays in the same spot for 7 complete revolutions?

a. 260

b. 18

c. 44

d. 22

7. A disk decelerates at a constant -8s^-2 from 2200 rad/sec for 11.2 sec. How many radians does it turn through in this time?

8. Convert 33.3 rpm to radians per second. Show your work.

9. A tennis ball rolls 26 m in 7 sec. Its radius is 6.5 cm. What is its angular displacement?

a. 400

b.2400

c. 24

d. 4

10. A dog spins around 5 times chasing its tail. How many radians does it turn through?

11. Describe how to change from degrees to radians, and from radians to revolutions.

12. Earth makes one full rotation in 24 hours. Find Earth's angular velocity in radians/sec.

13. A knight swings a mace of radius 0.75 m in 3 complete revolutions. How many meters does it travel along its arc?

a. 14.1

b. 3.14

c. 7

d. 21.2

14.A car tire changes its angular speed from 5 to 39 rpm in 3 seconds. What is its angular acceleration?

15. What is the angular displacement, in radians, if a top accelerates from 12 rpm to 100 rpm in 13 s?

a. 97.6

b. 76.2

c. 72

d. 720

16. A fan is rotating at 210 rpm. How many radians does it move through each second?

a. 3.5

b. 2000

c. 22

d. 1320