Revolutions, Degrees and Radians Lesson 40. LESSON OBJECTIVE: 1.Use radian and degree measures to measure angles and rotations. 2.Investigate how radians.

Slides:



Advertisements
Similar presentations
Rotational Kinematics
Advertisements

A bicycle wheel rotates through four complete revolutions in 2 seconds
Pg. 472 Homework Pg. 324#70 – 76 all #1ɣ = 68°, b = 3.88, c = 6.61 #2α = 35.97°, ɣ = 34.03°, c = 4.76 #3 = °, b = 27.55, c = #4No triangle.
Dr. Jie Zou PHY 1151G Department of Physics1 Chapter 10 Rotational Kinematics and Energy.
Angles and Radian Measure Section 4.1. Objectives Estimate the radian measure of an angle shown in a picture. Find a point on the unit circle given one.
Rotational Dynamics October 24, 2005.
Angular Motion. Measuring a Circle  We use degrees to measure position around the circle.  There are 2  radians in the circle. This matches 360°This.
S = rθ is valid for θ in both degrees and radians.
PH 201 Dr. Cecilia Vogel Lecture 17. REVIEW  CM with holes  Thrust OUTLINE  Rotational Motion  angular displacement  angular velocity  angular acceleration.
R OTATIONAL K INEMATICS. A NGULAR M OTION E QUATIONS Motion equations can be written in terms of angular quantities.
Formative Assessment. 1. A bicycle going 13.5 m/s has cm diameter wheels. What is the angular velocity of the wheels in rad/s? in RPM? (39.7 rad/sec,
7.2 Central Angle & Arc Length. Arc Length  is the radian measure of the central angle s & r have same linear units r r s = Arc length  radians (not.
Angular and Linear Velocity:
Circular Motion. Questions for Consideration  How do we measure circular motion?  What is a radian?  What are the angular analogs of linear motion?
6.1.2 Angles. Converting to degrees Angles in radian measure do not always convert to angles in degrees without decimals, we must convert the decimal.
Chapter 8 Rotational Kinematics. Rotation – (rotate) Revolution – (revolve) To move around an external axis. To spin on an internal axis.
A propeller (arm length 1.2 m) starts from rest and begins to rotate
Rotational Motion Learn how to describe and measure rotational motion. Learn how torque changes rotational velocity. Define center of mass and the conditions.
STARTER Consider two points, A and B, on a spinning disc. 1. Which point goes through the greatest distance in 1 revolution? 2. Which point goes through.
Chapter 8 Rotational Kinematics. Radians Angular Displacement  Angle through which something is rotated  Counterclockwise => positive(+) Units => radians.
7.1 Angles & Triangles. Angles Positive Angle Counterclockwise rotation Negative Angle Clockwise rotation  
Warm-Up 3/26 Fahrenheit. Rigor: You will learn how to convert from degrees to radians and radians to degrees. Relevance: You will be able to solve real.
Chapter Angular Position, Velocity, and Acceleration 10.2
6.1R Rotational Kinematics
DC2. Unit 1 – Angular and Linear Speed -You will be able to find the angular speed and linear speed of spinning objects.
Chapter 8: Rotational Motion Pure rotational motion means the circular movement of a ‘rigid body’ where all points have the same angular motion…this motion.
Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)
Circular Motion Radians An angle in radians is defined as the ratio of the arc length to the radius. s r r  (radians) =arc length / radius  = s / r 
Section 6-2 Linear and Angular Velocity. Angular displacement – As any circular object rotates counterclockwise about its center, an object at the edge.
Radian and Degree Measure
In mathematics and physics, a specific form of measurement is used to describe revolution and fractions of revolutions. In one revolution, a point on.
Homework Log Fri 2/12 Lesson 7 – 1 Learning Objective: To find angle measurements Hw: #701 Pg. 385 #1 – 39 odd.
Rotation of a Rigid Object About a Fixed Axis 10.
Plan for Today (AP Physics I) Notes/Lecture on Rotational Motion.
FST Section 4.1. Tate lives three miles from school. He decided to ride his bicycle to school one nice day. If the front wheel turned at an average speed.
Position, Velocity, and Acceleration Connecting these three things to our knowledge of calculus.
Lesson 2 1. Angles can be measured in both degrees & radians : The angle  in radians is defined as the arc length / the radius For a whole circle, (360°)
– Rotational displacement is how far the object rotates. Units: fractions of a complete revolution; degrees; radians 1 complete revolution = 360º = 2 
Torque and Rotational Motion
Measures of Angles and Rotations. Vocabulary Degrees  360 degrees makes a full circle  270 degrees makes a three quarter circle  180 degrees makes.
Lesson 13.2 Define General Angles and Use Radian Measure.
Module 6.1 Radian and Degree Measure. Radians and Degrees are both ways to measure angles  Converting from Degrees to Radians:  Multiply by π/180 
Rotational Motion: x v a(tangent) What is a radian?
Physics 111 Rotational Motion + inertia
Circular Motion How do we work out the velocity of something which is moving at constant speed in a circle ? Answer: We use the simple formula: But in.
Rotational Motion Angles, Angular Velocity and Angular Acceleration
Section5.1 Angles and Their Measure
Circular Motion.
Conversion from and to Degrees, Radians, and Revolutions
Rotational Kinematics
Radian Measure and Coterminal Angles
Rotational Motion Chapter 8.
الفصل 1: الحركة الدورانية Rotational Motion
Rotational Kinematics
Applied Dynamics - Assignment
Angular & Linear Velocity
3.3 Angular & Linear Velocity
Degrees and radians.
Period 2 Question 1.
Section 2 –Linear and Angular Velocity
DO NOW-Opportunity to get 5 points on test
Degrees and radians Unit 4.2.
Chapter 10: Rotation The Rotational Variables
Section 4.1 Angles and Their Measure
( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , )
Rotational Kinematics
What is similar between all of these?
Rotations.
Agenda Go over homework
Let’s start an intro unit to Geometry!!
Presentation transcript:

Revolutions, Degrees and Radians Lesson 40

LESSON OBJECTIVE: 1.Use radian and degree measures to measure angles and rotations. 2.Investigate how radians are related to other units of measure for angles & rotations.

A frog rides a unicycle. If the unicycle wheel begins at rest, and accelerates uniformly in a counter-clockwise direction to an angular velocity of 15 rpms in a time of 6 seconds, find the angular acceleration of the unicycle wheel.

Please get out the worksheet “Revolutions, Degrees and Radians” so I can show you examples of how to use revolutions, radians and degrees.

HOMEWORK!! 1)“Revolutions, Degrees and Radians Homework – Lesson 40” Worksheet. 2)“Revolutions, Degrees and Radians Quiz – Lesson 40”.