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