Motions in a circle 1 and 2 Flashcards
How to convert from radian to degree?
X / (2n/360)
How to convert from degree to radians?
X x (2n/360)
How to convert from resolution to radian?
1 resolution=2n rad
How to convert from resolution to degree
1 resolution=360 degrees
Formula for arc length?
s = θr
s= Arc Length
θ= Angle in Radians
r= Radius
What is linear velocity?
Change of displacement against the change of time
Formula for linear velocity
v = ∆s/∆t
v=Velocity (m/s)
∆s=Change in displacement (m)
∆t=Change in time (s)
What is angular velocity?
Angular displacement against the change of time
What is the formula of angular velocity
ω = ∆θ/∆t
ω = Velocity (rad/s) (Pronounced omega)
∆θ=Change in Angle (rad or degrees)
∆t=Change in time (s)
What is the relation between linear and angular velocity
v = ωr.
v=Velocity
ω=Angular velocity (rad/s)
r=Radius (cm/m)
How to represent angular velocity?
Show a curved arrow on the same plane as the circle
What is angular velocity?
Change of angular displacement against the change of time
What is the formula of linear acceleration?
a = ∆v/∆t
a=Acceleration (m/s^2)
∆v=Change in Velocity (m/s)
∆t=Change in Time (s)
What is linear acceleration?
Change of velocity against the change of time
What is angular acceleration?
Change of angular velocity against the change of time
Formula for angular acceleration
α = ∆ω/∆t
α = Acceleration (rad/s^2)
∆ω=Change in angular velocity (rad/s)
∆t= Change in time (s)
What is the relation between linear and angular acceleration?
a = αr
a= acceleration (m/s^2)
α=Angular acceleration (rad/s^2)
r= Radius (cm/m)
How to convert from rad/s to rpm?
Divide by 2n/60
How to convert from rpm to rad/s ?
Multiply by 2n/60
How to convert from Hz to rpm?
Multiply by 60
How to convert from rpm to Hz
Divide by 60
How to convert from Hz to rad/s
Multiply by 2n
How to convert from rad/s to Hz
Divide by 2n
Rewatch the lecture and do linear and angular quantites flashcard
Please
What are the linear kinematics equations?
SUVAT
v = u + at
s=1/2 x ( u + v ) x t
s = ut + 1/2at(^2 )
v^2 = u^2 + 2as
What are the rotation kinematic equations?
ω1 = ω0 + αt
θ = ½(ω0 + ω1)t
θ = ω0t + ½αt2
ω1^2 = ω0^2 + 2αθ
What is centripetal acceleration?
Centripetal acceleration is the acceleration directed towards the center of a circular path, keeping an object moving in a curved trajectory.
Formula for centripetal acceleration?
ac=(V^2)/R or ac=ω^2xR
ac = Centripetal acceleration
V^2=Velocity
R=Radius
ω^2= Angular velocity
What is centripetal force?
Net force keeping an object on a circular path
Formula for centripetal force?
Fc = m x ac or Fc = (m x v^2)/R
Fc= Centripetal force
m= mass
ac= Centripetal acceleration
v=Velocity
R=Radius
What is rolling?
Rolling is the combination of rotation and linear motion of a rigid body on a surface
What is the difference when a wheel moves in a straight line only and when a wheel rotates only?
The linear velocity as it moves in a straight line only is the same all around however if it is only rotating different locations have different linear velocities.
How to calculate resultant velocity at a location of a wheel?
Adding the vector sum of linear and rotation motion
Describe the process of finding out displacement of a rolling object per 1 revolution?
As the object rolls it will travel its circumference which is equal to 2nr therefore displacement=2nr
