What is similar between all of these?

Slides:



Advertisements
Similar presentations
Physical Modeling, Fall Centripetal (or Radial) Acceleration The change of v can be in magnitude, direction, or both.
Advertisements

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.
Chapter 8: Rotational Kinematics Lecture Notes
Angular Variables. Measuring a Circle  We use degrees to measure position around the circle.  There are 2  radians in the circle. This matches 360°This.
Circular Motion Tangential & Angular Acceleration
Section 5.2 – Central Angles and Arcs Objective To find the length of an arc, given the central angle Glossary Terms Arc – a part of a circle Central angle.
Copyright © 2011 Pearson Education, Inc. Radian Measure, Arc Length, and Area Section 1.2 Angles and the Trigonometric Functions.
Tangential and Centripetal Accelerations
Circular Motion Topics Angular Measure Angular Speed and Velocity Uniform Circular Motion and Centripetal Acceleration Angular Acceleration.
Chapter 8: Rotational Kinematics Essential Concepts and Summary.
Uniform Circular Motion (UCM) The object travels in a circular path with a constant speed. Its velocity is tangent to the circle and is changing due to.
Rotational Motion and the Law of Gravity.  = angle from 0 r = radius of circle s = arc length (in radians)  = (in radians)
Slide Radian Measure and the Unit Circle. Slide Radian Measure 3.2 Applications of Radian Measure 3.3 The Unit Circle and Circular Functions.
Which of the following angles equals 2p radians?
And because we are dealing with the unit circle here, we can say that for this special case, Remember:
Arc Length Start with the formula for radian measure … … and multiply both sides by r to get … Arc length = radius times angle measure in radians.
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)
Slide 1-1 The Six Trigonometric Functions Chapter 1.
Copyright © 2011 Pearson, Inc. 4.1 Angles and Their Measures.
Arc Length and Central Angles. Example Find the measure of a rotation in radians when a point 2 m from the center of rotation travels 4 m.
Circular Motion Circumference:2  r Period = T:definition? Basic quantities in circular motion:
Uniform Circular Motion (UCM) The object travels in a circular path with a constant speed. Its velocity is tangent to the circle and is changing due to.
Centripetal Acceleration The force on required to make an object move in a circle is always directed towards the centre of the circle, so the object must.
Arc Length Formula Pre-Calculus Unit #4, Day 5. Arc Length and Central Angles.
Topic 11-2 Radian Measure. Definition of a Radian Radian is the measure of the arc of a unit circle. Unit circle is a circle with a radius of 1.
Radians. Definition A radian is the angle that is subtended (cut out) at the center of the unit circle when the radius length and the arc length are equal.
MATHPOWER TM 12, WESTERN EDITION Chapter 4 Trigonometric Functions 4.1.
Grade Homework HW 13.2A Answers.
Goal: To understand angular motions
Arcs, Sectors & Segments
Rotational Motion and the Law of Gravity.
M Friction.
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.
Aim: How do we define radians and develop the formula
Aim: How do we describe rotational motion?
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Section5.1 Angles and Their Measure
Circular Motion.
Do Now Find the value of each expression. Sin 60 ° Cos 30 ° Tan 270 °
Plan for Today (AP Physics 2) C Testers Angular Motion Review – discuss and example problems B Testers Magnetism Free Response Problems (Individually)
Examples Radians & Degrees (part 2)
Chapter 7 Section 1.
Copyright © 2017, 2013, 2009 Pearson Education, Inc.
CIE Centre A-level Pure Maths
6.1 Radian and Degree Measure
Circular Motion Chapter 12.
16.2 Arc Length and Radian Measure
Circular Motion.
Section 4.1: Angles and Their Measures
Write the complement and supplement of each angle.
Angles and Their Measures
Circular Motion Unit
3.3 Angular & Linear Velocity
6.1 Angles and Radian Measure
4.1 Equations of circles Arcs, Inscribed Angles, Central Angles
Section 2 –Linear and Angular Velocity
Angles and Their Measures
* Particles moving in a circular path with a constant velocity.
DO NOW-Opportunity to get 5 points on test
Demana, Waits, Foley, Kennedy
Uniform circular motion
The equations for circular motion are identical to those of linear motion except for variable names. True False.
Trigonometry - Intro Ms. Mougharbel.
Section 4.1 Angles and Their Measure
Arc Length and Central Angles
Angles and Their Measure
13-3 – Radian Measures.
( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , )
Unit 4: Circles and Volume
Presentation transcript:

What is similar between all of these?

And these?

Angular Velocity Centripetal Acceleration Examples of Circular Motion

Circular Motion means that the size of the object traveling in the circle is negligible with the radius of the orbit.

Measuring an angle Definition of an angle Angle = arc length ÷ radius of arc Θ = s ÷ r Unit: radian

Measuring an angle Definition of a radian One radian is the angle measured from the center of the circle when the arc length is the same as the radius of the arc

Measuring an angle Proof that θ = 2π Conversion between radians and degrees.