Warm Up
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?
A
B
Times
4
up
minutes
Topic: Angular / Rotational Kinematics
Key Points:
•
•
•
Position, displacement, velocity and acceleration can be converted
to __________ position, ________ displacement, _______ velocity
and __________ acceleration.
A full rotation can be expressed as 2π radians or as ______. You can
2𝜋
360
between radians and degrees by using
or
.
360
2𝜋
Angular kinematic equations can be used to solve problems that
have an angular acceleration.
Topic: Angular / Rotational Kinematics
Key Points:
•
•
•
Position, displacement, velocity and acceleration can be converted
to angular position, angular displacement, angular velocity and
angular acceleration.
A full rotation can be expressed as 2π radians or as 360o. You can
2𝜋
360
between radians and degrees by using
or
.
360
2𝜋
Angular kinematic equations can be used to solve problems that
have an angular acceleration.
What is angular acceleration?
In linear terms….
A unicyclist starts from rest and accelerates uniformly in a counter-clockwise direction to an angul
velocity of 15 RPMS in a time of 6 seconds. Find the angular acceleration of the wheel.
Practice Problem
2(450𝑟𝑎𝑑)
𝑟𝑎𝑑
𝛼=
= 1.1 2
2
(9)
𝑠
0
2𝜃
𝛼= 2
𝑡
0