M5C2 Flashcards
How do you convert radians to degrees?
180
number of radians X ——- = degrees
π
How do you convert degrees to radians?
π
number of degrees X ——- = radians
180
Define a radian
The angle at the center of a circle when the arc length is equal to one radius (2π radians = 360^o)
Define period
The time taken for an object to complete one circular path
Define angular velocity
The rate of angular rotation when an object moves with uniform circular motion
What is the equation for angular velocity?
A = V^2/r A = ω^2 r A = angular velocity (m s^-1) V = velocity (m s^-1) r = radius (m) ω = angular frequency(rad s^-1)
What is the equation for angular frequency?
ω = 2π / τ ω = angular frequency(rad s^-1) π = 3.14 τ = period (s)
What is the equation for speed of orbit?
V = 2πr / τ V = ωr V = orbital speed (m s^-1) r = radius (m) τ = period (s) ω = angular frequency(rad s^-1)
What is the equation for centripetal force?
F =mv^2/r F = mω^2 r F = centripetal force(N) m = mass (kg) v = tangential velocity (m s^-1) r = radius (m) ω = angular frequency(rad s^-1)
What is the equation for centripetal force on a the conical pendulum
?
F = mgtanθ F = centripetal force(N) m = mass (kg) g = gravitational field strength (m s^-2)
What is the equation for centripetal force of an object rotating in the vertical plain?
F at bottom = mv^2/r + mg
F at the top (for a ferris wheel) = mg - mv^2/r
F at the top (for a bob on a string) = mv^2/r - mg
F = centripetal force(N)
m = mass (kg)
g = gravitational field strength (m s^-2)
v = tangential velocity (m s^-1)
r = radius (m)
What is the equations for centripetal acceleration?
a = v^2/r a = ω^2 r a = centripetal acceleration (m s^-2) V = orbital speed (m s^-1) r = radius (m) ω = angular frequency (rad s^-1)
