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Kinematic(rotation) - Coggle Diagram
Kinematic(rotation)
Linear Motion
Linear Velocity
V= delta(x)/delta(t)
m/s
Linear Acceleration
A = delta(v)/Delta(t) or d^2x /dt^2
rad/s
Liner Displacment
s,x,y,z
mm
Time
T
s
Rotational Motion
Angular Velocity
omega
rad/s or rpm
Angular Acceleartion
Pha
rad/s^2
Angular Displacement
Theta
Radian(rad)
Time
t
s
Angular motion
θf =ωi^t+1/2∝t^2
ωf2 = ωf2+2∝θ
ωf = ωi + α t
linear motion
s = so + u t + ½ a t2
v2 = u2 + 2 a (s – so)
v = u + a t
unit conversion
1rpm = 2pi/60 rad/s
20 degree = 20/360 x 2pi
1 rev = 360 degress = 2 pi rad
Pure rotational and tractional motion
Pure rotational motion:
Every particle in the rigid body has the same instantaneous velocity (no rotation).
Pure tractional motion
particle in the rigid body has the same angular velocity and travels in circles around a fixed axis
Centripetal acceleration
Centripetal acceleration only happen when
the velocity of a body in circular motion is changing
it act radically inward toward the center of the circle
speed change but velocity remains the same
Formula for centripetal acceleration: