Periodic and Circular Motion Flashcards
What is Linear Velocity?
The rate of change of linear displacement
What is Angular Velocity?
The rate at which an object rotates relative to its axis of rotation.
What is the SI unit of angle?
Radians
What are the units and symbol of Angular Velocity?
Units: Rads^-1
Symbol: ω
How many radians are in a complete circle?
2π
What is the equation of Linear Velocity?
v = 2πr/T = 2πrf
What is the equation of Angular Velocity?
ω = 2π/T = 2πf = v/r
Whaich direction is acceleration in circular-motion?
Towards the axis of rotation
What is the equation for Centripetal Acceleration?
a = v²/r = ω²r
What is the equation for Centripetal Force?
F = mv²/r = mω²r
What direction is Centripetal Force acting in?
Towards the axis of rotation
Define Simple Harmonic Motion (SHM)?
It is a special type of circular-motion.
The acceleration is proportional to displacement and acts in the opposite direction.
Where is Dislpacement at its Maximum and Minimum?
Maximum: At Amplitude
Minimum: At Equilibrium
Where is Velocity at its Maximum and Minimum?
Maximum: At Equilibrium
Minimum: At Amplitude
Where is Accerleration at Maximum and Minimum?
Maximum: At Amplitude
Minimum: At Equilibrium
What is the equation for calculating the displacement at any time?
x = A Cos(ωt) = A Cos(2πft)
What are the units and symbol for Displacement?
Units: Meters (m)
Symbol: X
What are the units and symbol for Amplitude?
Units: Meters (m)
Symbol: A
What is the equation for acceleration at any time?
a = -ω²X = -(2πf)²X