angular kinematics

Question 1

radian (unitless)

Answer 1

57.3 degrees (doesn’t matter the size of the circle)
length of arc is equal to the length of the radius
2 pie radians = 1 revolution
pie radians= 180
2 pie radians= 360

Question 2

circumference of circle

Answer 2

2pie r

Question 3

definition of a “positive’ angle

Answer 3

counterclockwise = positive
clockwise = negative

Question 4

angular distance and displacement

Answer 4

angular distance (ϕ )= length of path traveled (degrees radians)
Angular displacement (θ)= difference between starting and ending position

Question 5

angular speed

Answer 5

σ (sigma)= the angular distance covered divided by the time interval over which the motion occurred

(Phi/change in time) (deg/sec, rad/sec, rev/sec)

Question 6

angular velocity

Answer 6

omega (ω)= the angular displacement divided by the time interval over which the motion occurred

theta/change in time (deg/sec. rad/sec, rev/sec)

Question 7

angular acceleration

Answer 7

α (alpha)= the rate of change of angular velocity

omega/change in time (deg/sec^2)