Name



Name _____________ Period ___

Ch. 7 Test Review Date ________

1. Fill in the missing values in the table below:

|Description |Symbol |Units |

|Angular Displacement | | |

| |Δs | |

|Angular Speed | | |

| |α | |

|Tangential Speed | | |

| |at | |

|Centripetal Acceleration | | |

| |Fc | |

2. What is rotational motion?

3. How many radians are in one complete revolution or turn?

4. What are the signs for clockwise and counterclockwise motion?

5. How are different points on a circle related in relation to angular speed?

6. How are angular displacement and arc length related?

7. What is the tangential component of acceleration due to?

8. What is the centripetal component of acceleration due to?

9. How are tangential acceleration and centripetal acceleration related?

10. Which way is the circular force directed?

11. Which way is centripetal force directed towards?

For the problems below:

a. Write the “givens” on the left and formula on the right.

b. SHOW YOUR WORK OR NO CREDIT WILL BE GIVEN

c. Use significant figures!

d. BOX YOUR FINAL ANSWER and don’t forget the units.

12. How many radians are in 24o?

2/15Π rad

0.13Π rad

0.42 rad

13. How many radians are in 15 turns?

30Π rad

94 rad

14. While riding on a carousel that is rotating clockwise, a child travels through an arc length of 11.5 m. If the child’s angular displacement is 165o, what is the radius the carousel?

3.99 m

15. A child at an ice cream parlor spins on a stool. The child turns counterclockwise with an average angular speed of 4.0 rad/s. In what time interval will the child’s feet have an angular displacement of 8.0p rad?

6.3 s

16. A car’s tire rotates at an initial speed of 21.5 rad/s clockwise. The driver accelerates, and after 3.5 s the tire’s angular speed is -23.0 rad/s. What is the tire’s average angular acceleration during the 3.5 s time interval?

0.43 rad/s2 clockwise

17. The wheel on an upside-down bicycle moves through 11.0 rad in 2.0s. What is the wheel’s angular acceleration if its initial angular speed is 2.0 rad/s?

3.5 rad/s2 counter clockwise

18. The radius of a CD in a computer is 0.0600 m. If a microbe riding on the disc’s rim has a tangential speed of 1.88 m/s, what is the disc’s angular speed?

31.3 rad/s

19. A spinning ride at a carnival has an angular acceleration of 0.50 rad/s2. How far from the center is a rider who has a tangential acceleration of 3.3 m/s2?

6.6 m

20. A test car moves at a constant speed around a circular track. If the car is 48.2 m from the track’s center and has a centripetal acceleration of 8.05 m/s2, what is its tangential speed?

19.7 m/s

21. A pilot is flying a small plane at 30.0 m/s in a circular path with a radius of 100.0m. If a force of 635 N is needed to maintain the pilot’s circular motion, what is the pilot’s mass?

6. kg

22. An athlete spins in a circle before releasing a discus with a tangential speed of 8.2 m/s. What is the angular speed of the spinning athlete? Assume the discus is 0.75 m from the athlete’s axis of rotation.

11. rad/s

23. A young boy swings a yo-you horizontally above his head at an angular acceleration of 0.45 rad/s2. If the tangential acceleration of the yo-yo at the end of the string is 0.23 m/s2, how long is the string?

0.51 meters

24. A piece of clay sits 0.17 m from the center of a potter’s wheel. If the potter spins the wheel at an angular speed of 19.5 rad/s, what is the magnitude of the centripetal acceleration of the piece of clay on the wheel?

65 m/s2

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