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Day 1

UEQ #1: How can the rotational motion be described in a measurable and quantitative way?. Day 1. Rotational Motion. † After Attendance ( † EQ Sheet; Concept Map). Place HW on my desk † Pickup a new Essential Question Sheet and a Rotational Motion / Torque Concept Map

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Day 1

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  1. UEQ #1: How can the rotational motion be described in a measurable and quantitative way? Day 1 Rotational Motion

  2. †After Attendance(†EQ Sheet; Concept Map) Place HW on my desk †Pickup a new Essential Question Sheet and a Rotational Motion / Torque Concept Map Pickup and sign out your computer Log into www.plutonium-239.com Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart †Pull out your Conservation of Energy and Momentum Concept Map UEQ #1: How can the rotational motion be described in a measurable and quantitative way?

  3. UEQ #1: How can the rotational motion be described in a measurable and quantitative way? Feed Back for Google Docs • Was anything confusing on google docs? • Noteworthy Student Responses

  4. UEQ #1: How can the rotational motion be described in a measurable and quantitative way? Review of Materials • Linear Momentum Test

  5. UEQ #1: How can the rotational motion be described in a measurable and quantitative way? Chapter 8 Rotational Motion

  6. UEQ #1: How can the rotational motion be described in a measurable and quantitative way? Units of Chapter 8 • Angular Quantities • Constant Angular Acceleration • Rolling Motion (Without Slipping) • Torque • Rotational Dynamics; Torque and Rotational Inertia • Solving Problems in Rotational Dynamics

  7. UEQ #1: How can the rotational motion be described in a measurable and quantitative way? Units of Chapter 8 • Rotational Kinetic Energy • Angular Momentum and Its Conservation • Vector Nature of Angular Quantities

  8. UEQ #2: What factors affect changes in the rotational motion of an object? Chapter 9 Static Equilibrium

  9. UEQ #2: What factors affect changes in the rotational motion of an object? Units of Chapter 9 • The Conditions for Equilibrium • Solving Statics Problems • Applications to Muscles and Joints • Stability and Balance

  10. UEQ #1: How can the rotational motion be described in a measurable and quantitative way? Equations to Know: Causes of Force

  11. Rotational Motion: Rotational Measurements & Kinematics EQ(s): How are the rotational measurements analogous to linear measurements?; How are the rotational kinematics analogous to linear kinematics? INSERT Tire Picture Start: If a car is accelerating, what is happening to the motion of its tires? Which part of the tire travels a further distance?

  12. How are the rotational measurements analogous to linear measurements? 8-1 Angular Quantities In purely rotational motion, all points on the object move in circles around the axis of rotation (“O”). The radius of the circle is r. All points on a straight line drawn through the axis move through the same angle in the same time. The angle θ in radians is defined: where l is the arc length. (8-1a)

  13. How are the rotational measurements analogous to linear measurements? 8-1 Angular Quantities Angular displacement: The average angular velocity is defined as the total angular displacement divided by time: The instantaneous angular velocity: (8-2a) (8-2b)

  14. How are the rotational measurements analogous to linear measurements? 8-1 Angular Quantities The angular acceleration is the rate at which the angular velocity changes with time: The instantaneous acceleration: (8-3a) (8-3b)

  15. How are the rotational measurements analogous to linear measurements? 8-1 Angular Quantities Every point on a rotating body has an angular velocityω and a linear velocity v. They are related: (8-4)

  16. How are the rotational measurements analogous to linear measurements? 8-1 Angular Quantities Therefore, objects farther from the axis of rotation will move faster.

  17. How are the rotational measurements analogous to linear measurements? 8-1 Angular Quantities If the angular velocity of a rotating object changes, it has a tangential acceleration: Even if the angular velocity is constant, each point on the object has a centripetal acceleration: (8-5) (8-6)

  18. How are the rotational measurements analogous to linear measurements? 8-1 Angular Quantities Here is the correspondence between linear and rotational quantities:

  19. How are the rotational measurements analogous to linear measurements? 8-1 Angular Quantities The frequency is the number of complete revolutions per second: Frequencies are measured in hertz. The period is the time one revolution takes: (8-8)

  20. How are the rotational kinematics analogous to linear kinematics? 8-2 Constant Angular Acceleration The equations of motion for constant angular acceleration are the same as those for linear motion, with the substitution of the angular quantities for the linear ones.

  21. How are the rotational kinematics analogous to linear kinematics? 8-3 Rolling Motion (Without Slipping) In (a), a wheel is rolling without slipping. The point P, touching the ground, is instantaneously at rest, and the center moves with velocity v. In (b) the same wheel is seen from a referenceframe where C is at rest. Now point P is moving with velocity –v. The linear speed of the wheel is related to its angular speed:

  22. How are the rotational measurements analogous to linear measurements? TITLE INSERT NOTES HERE

  23. How are the rotational measurements analogous to linear measurements? How are the rotational kinematics analogous to linear kinematics? TITLE (Thought Question)? Youtube address INSERT VIDEO CLIP

  24. How are the rotational measurements analogous to linear measurements? How are the rotational kinematics analogous to linear kinematics? DataStudio Activity - Angular Momentum • Work in groups of no more than 4 people. • Return all supplies to the counter/cart. INSERT LAB PICTURE

  25. WebAssign/Lab Time Work on WebAssign Problems 8.1 - 8.8 or the DataStudio Activity - Angular Acceleration Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) How are the rotational measurements analogous to linear measurements? How are the rotational kinematics analogous to linear kinematics?

  26. How are the rotational measurements analogous to linear measurements? How are the rotational kinematics analogous to linear kinematics? Summary • Answer the Essential Questions. • Ticket out the Door: • What unit are is angular distance measured in? • What is the relationship between translational velocity and angular velocity? • Write down one rotational kinematic equation. • HW: • DataStudio Activity - Angular Momentum (Questions and Conclusions) • WebAssign Problems 8.1 - 8.8 INSERTPICTURE

  27. UEQ: ? Day 2 Banked and Unbanked Curves; Centrifugation

  28. After Attendance Place HW on my desk Pickup and sign out your computer Log into www.plutonium-239.com Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart UEQ: ?

  29. UEQ: ? Feed Back for Google Docs • Was anything confusing on google docs? • Noteworthy Student Responses

  30. UEQ: ? Review of Materials • Yesterday’s TOTD; WebAssign Questions

  31. UNIT Title: Section Title EQ(s):? INSERT Picture Start: ?

  32. EQ? TITLE INSERT NOTES HERE

  33. EQ? TITLE (Thought Question)? Youtube address INSERT VIDEO CLIP

  34. EQ? LAB TITLE LAB • Work in groups of no more than 4 people. • Return all supplies to the counter/cart. INSERT LAB PICTURE

  35. EQ? LAB TITLE REPORT • One Report for each group of no more than 4 people. • Refer to the Laboratory Report Expectations Handout. INSERT LAB PICTURE

  36. WebAssign/Lab Time Work on WebAssign Problems ?.?? - ?.?? (*Except ?.??), the Lab Title Lab Report, or the Lab Title Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) EQ?

  37. EQ? Summary • Answer the Essential Questions. • Ticket out the Door: • HW: • Lab Title REPORT • Lab Title Lab (Questions and Conclusions) • WebAssign Problems ?.? - ?.?? (*Except ?.??) INSERTPICTURE

  38. UEQ: ? Day 3 Work Day

  39. After Attendance Place HW on my desk Pickup and sign out your computer Log into www.plutonium-239.com Select the Warm-Up link Complete today’s warm-up and submit it Logout and return the computer to the cart UEQ: ?

  40. UEQ: ? Feed Back for Google Docs • Was anything confusing on google docs? • Noteworthy Student Responses

  41. UEQ: ? Review of Materials • Yesterday’s TOTD; WebAssign Questions

  42. UNIT Title: Section Title UEQ(s):? INSERT Picture Start: GoogleDocs Warm-Up Activity

  43. EQ? 8-4 Torque To make an object start rotating, a force is needed; the position and direction of the force matter as well. The perpendicular distance from the axis of rotation to the line along which the force acts is called the lever arm.

  44. EQ? 8-4 Torque A longer lever arm is very helpful in rotating objects.

  45. EQ? 8-4 Torque Here, the lever arm for FA is the distance from the knob to the hinge; the lever arm for FD is zero; and the lever arm for FC is as shown.

  46. EQ? 8-4 Torque The torque is defined as: (8-10a)

  47. EQ? LAB TITLE LAB • Work in groups of no more than 4 people. • Return all supplies to the counter/cart. INSERT LAB PICTURE

  48. EQ? LAB TITLE REPORT • One Report for each group of no more than 4 people. • Refer to the Laboratory Report Expectations Handout. INSERT LAB PICTURE

  49. WebAssign/Lab Time Work on WebAssign Problems ?.?? - ?.?? (*Except ?.??), the Lab Title Lab Report, or the Lab Title Lab Final Copy Criteria State the problem (Ex. Find displacement) Draw a picture/diagram Provide a list or table of all given data (Ex. t = 2 s) Solve the problem symbolically (Ex. v=x/t  x = vt) Plug in numbers and units to obtain answer. (Ex. x = (5 m/s)(2 s)= 10 m) Notes about WebAssign: Positive vs. negative answers (Try a negative sign) Look at the final unit (hours or minutes or seconds) EQ?

  50. EQ? Summary • Answer the Essential Questions. • Ticket out the Door: • HW: • Lab Title REPORT • Lab Title Lab (Questions and Conclusions) • WebAssign Problems ?.? - ?.?? (*Except ?.??) INSERTPICTURE

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