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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