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Kinematics (circular motion) - Coggle Diagram
Kinematics (circular motion)
Definition
angular velocity
symbol
ω(omega)
formula
v= Δx/Δt
SI unit
Radian per second (rad/s)
measure of turning per time unit
Angular acceleration
SI unit
Radian per second square (rad/s^2)
symbol
α (alpha)
formula
α = change in angular velocity / change in time
a= Δv/Δt = d2x/dt2
the rate of change of angular velocity
angular displacement
SI unit
Radian (rad)
Symbol
ω
Formula
s, x, y, z
m (metre)
the angle and the
direction through which a body turns.
Relationship between linear & angular motion
equations
at = r α
an = r ω
V^2/r
v = r ω
S = r θ
r = radius of rotation [m]
at = tangential acceleration [m/s2
]
rate of change of tangential velocity per time.
an = normal or centripetal acceleration [m/s2
]
v = tangential velocity [m/s]
linear speed of any object moving along a circular path.
uniform angular motion
Equation
ωf = ωi + α t
θf = θi + ωi t ½ a t2
ωf2 = ωi^2 + 2 α(θf – θi)
constant angular acceleration
Always changing directions
Unit Conversion
1 revolution = 360 degrees = 2π radians
1 rpm = 2π /60 rad/s
Radian to degrees
Rad × 180/π = _ degrees
Degrees to radian
Deg × π/180 = __rad
Revolution = one full circle
Centripetal force
it acts radially inwards towards the centre of the circle.
centripetal acceleration
SI unit
metre per second square (m/s^2)
Symbol
an
centrifugal force
Acts outwardly away from the center of rotation
Opposite of centripetal force
