Angular Position and Displacement - Questions
The Angular Position and Displacement Concept Builder is comprised of 54 questions. The questions are divided into 15 different question groups. Questions in the same group are rather similar to one another. The Concept Builder is coded to select at random a question from each group until a student is successful with that group of questions.
The questions and question groups are organized into three different activities. The activities are differentiated as follows:
- A Degree in Rotation: Question Groups 1-5: Students identify the angular position in degrees. The Concept Builder uses the customary convention that 3-o'clock is the 0 position and the + direction is a rotation in the counter-clockwise direction.
- Easy as PI: Question Groups 6-9: Similar to above, except that the angular position is expressed using radians.
- Rad Physics: Question Groups 10-15: If given the initial and final location on a diagram, students identify the angular displacement in radians.
The questions from each group are shown below. Teachers are encouraged to view the questions in order to judge which level of difficulty is most appropriate for their classes. We recommend doing all three activities. The concept of radians is emphasized in the second and third activity and will be an important concept moving forward through subsequent rotational motion Concept Builders
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Activity 1: A Degree in Rotation
Question Group 1
Questions 1
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position of 90°.
Questions 2
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position of 180°.
Questions 3
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position of 270°.
Question Group 2
Questions 4
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 30°.
Questions 5
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 45°.
Questions 6
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 60°.
Question Group 3
Questions 7
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 120°.
Questions 8
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 135°.
Questions 9
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 150°.
Question Group 4
Questions 10
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 210°.
Questions 11
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 225°.
Questions 12
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 240°.
Question Group 5
Questions 13
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 300°.
Questions 14
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 315°.
Questions 15
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 330°.
Activity 2: Easy as PI
Question Group 6
Questions 16
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to ∏/2 radians.
Questions 17
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to ∏ radians.
Questions 18
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 3•∏/2 radians.
Question Group 7
Questions 19
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to ∏/4 radians.
Questions 20
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 3•∏/4 radians.
Questions 21
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 5•∏/4 radians.
Questions 22
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 7•∏/4 radians.
Question Group 8
Questions 23
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to ∏/6 radians.
Questions 24
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to ∏/3 radians.
Questions 25
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 2•∏/3 radians.
Questions 26
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 5•∏/6 radians.
Question Group 9
Questions 27
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 7•∏/6 radians.
Questions 28
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 4•∏/3 radians.
Questions 29
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 5•∏/3 radians.
Questions 30
A bicycle wheel is spinnning on its axis. Given the coodinate system shown in the diagram at the right (0-position at 3 o’clock; counter-clockwise rotation is in the positive direction), determine the labeled location on the wheel that has an angular position that is closest to 11•∏/6 radians.
Activity 3: Rad Physics
Question Group 10
Questions 31
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 32
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 33
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 34
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Question Group 11
Questions 35
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 36
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 37
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 38
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Question Group 12
Questions 39
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 40
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 41
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 42
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Question Group 13
Questions 43
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 44
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 45
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 46
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Question Group 14
Questions 47
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 48
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 49
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 50
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Question Group 15
Questions 51
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 52
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 53
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?
Questions 54
A garden pinwheel is rotating in a counterclockwise direction. A point on the green blade rotates from position A to position B as shown. What is the angular displacement of this point (in radians)?