Name _________________________ Date ________ Period __________ Two children are on a merry go round – child A and child B. The merry go round completes one spin every 4 seconds. Which child is going faster? Why? Topic: Objectives Key Points: • Position, displacement, velocity and acceleration can be converted to _____________ position, ________________ displacement, _____________ velocity and _____________ acceleration. • A full ______________ can be expressed as _____________ radians or as 2𝜋 360 ________________. You can between radians and degrees by using or . 360 2𝜋 • Angular __________________ equations can be used to solve problems that have an angular ____________________. What is rotational Kinematics? What are radians? Radians are a type of ____________. One radian is angle represented by the ________________ of the circles ______________. Example of converting between radians and degrees Convert 90o to radians Practice 180o = how many radians? Convert 6 radians to degrees 4 radians is how many degrees? What is angular Displacement? What is angular velocity? A record spins on a phonograph at 33 RPMS (revolutions per minute) clockwise. Find the angular velocity of the record (answer in radians). Angular Velocity Practice Find the magnitude of the earths angular velocity in radians per second. What is angular acceleration? A unicyclist starts from 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 wheel. What are the angular Kinematic Equations? Practice Problem Group Practice 1.a 1.b 1.c ANSWER KEY TO GROUP PRACTICE and EXIT QUIZ 1a. 1.c EXIT QUIZ ANSWER 1b. Name _____________________________ Date _________ Period______ Name _____________________________ Date _________ Period______ Name _____________________________ Date _________ Period______ Name _____________________________ Date _________ Period______