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Level 94

Rotation Kinematics


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Rotation
1 cycle = 1 day, 24 hours; spinning of earth on axis 23 1/2 degrees
Revolution
1 cycle = 1 year, 365 days; earths orbit around sun
s
arc
θ
Angular Displacement (rads)
Vt
Tangential Velocity (m/s)
ω
Angular Velocity (rad/s)
α
Angular Acceleration (rad/s^2)
ac
the short lived, high energy, unstable chem species
Fc
Centripetal Force (N)
Fg
GM1M2/r^2
R
(0.0821 atm) or (8.314kpa)
Radian
An angle whose arc length is equal to its radius
Angular displacement
displayed as the change in theta (∆θ)
Arc Length
Linear distance around a circle
Degree-radian Conversion formula
180 degrees = x degrees
Arc Length Formula
𝚫s = r(𝚫θ)
Clockwise Rotation
Negative displacement
Counterclockwise Rotation
Positive displacement
angular velocity
represented by a lower case omega (ω)
Angular Velocity Formula
ω = 𝚫θ / 𝚫t
Angular acceleration
represented by a lower case alpha (α)
Average Angular Acceleration Formula
αavg = 𝚫ω = ωFωI
Motion equations
𝚫θ = ωI (𝚫t) + 1/2 α(𝚫t)^2
Tangential Velocity (Linear/Translational)
The instantaneous linear velocity of an object directed along a tangent to the object's circular path
Tangential Velocity Formula
VT = rω
Tangential (Linear/Translational) Acceleration
The instantaneous linear acceleration of an object directed along the tangent of the object's circular path
Tangential Acceleration Formula
αT = r(α)
centripetal acceleration
a = centripetal acceleration
Centripetal Acceleration Formula
αC = VT2 / r
Centripetal Force
A force directed towards the center of a circle that causes an object to follow a circular path
Centripetal Force Formula
FC = mαC
centrifugal force
a fictitious force that tends to throw an object off when the object is rotating in a non-inertial frame of reference
Newton's Law of Universal Gravitation
Every particle in the universe attracts every other particle with a force that is directly proportional to the product of the masses and inversely proportional to the square of the distances between their centers
Gravitational Force
(physics) the force of attraction between all masses in the universe
Gravitational Force Formula
Fg = G (m1)(m2)
Universal Gravitational Constant (G)
G= 6.67 * 10^-11 N*m^2 / kg^2