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L11 notes - Coggle Diagram
L11 notes
Relationship with linear motion
s = r tangent
v = r w
at = r a
an = r w^2 = v^2 / r
meaning
r = radius of rotation [m]
s = linear displacement [m]
θ = angular displacement [rad]
v = tangential velocity [m/s]
ω= angular velocity [rad/s]
at = tangential acceleration [m/s2]
α = angular acceleration [rad/s2]
an = normal or centripetal acceleration [m/s2]
Uniform Motion
wf = wi + at
wf^2 = wi^2 +2a (tangent f - tangent i)
tangent f = tangent i + wi t + 1/2 at^2
Angular Displacement
measured with radian
1 rev = 360 degree = 2 pie rad
It is defined as the angle and the direction through which a body turns
Angular Velocity
measured using radian per second or revolution per minute
It is the rate of change of angular displacement with respect to time
Angular Acceleration
measured using radian per second square
It is the rate of change of angular velocity with respect to time