PHYS 200 Unit 6: Uniform Circular Motion and Gravitation

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University Physics PHYS 200 Karteikarten am PHYS 200 Unit 6: Uniform Circular Motion and Gravitation, erstellt von Adriana Vincelli-Joma am 08/04/2021.
Adriana Vincelli-Joma
Karteikarten von Adriana Vincelli-Joma, aktualisiert more than 1 year ago
Adriana Vincelli-Joma
Erstellt von Adriana Vincelli-Joma vor etwa 3 Jahre
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uniform circular motion motion of object in circular path at constant speed
rotational angle -ratio of arc length to radius curvature on circular path -Δθ = Δs/r
arc length -distance traveled by object along circular path -Δs
radius of curvature -radius of circular path -r
revolution -2π radians
angular velocity -rate of change of angle with which object moves on a circular path -ω = Δθ/Δt -ω = v/r
linear velocity -v = rω
centripetal acceleration -acceleration of object moving in circle directed toward center -a_c = v^2/r -a_c = rω^2
centripetal force -any net force causing uniform circular motion -perpendicular to path and pointing to center
centripetal force formulas -F_c = ma_c -F_c = m (v^2/r) -F_c = mrω^2
centrifugal force -fictitious force that tends to throw an object off when the object is rotating in a non-inertial frame of reference
banked curve -curve in road that is sloping in a manner that helps a vehicle negotiate the curve
static coefficient of friction for banked curve -μ_s = v^2/rg
angle of ideally banked curve -θ = tan^-1 (v^2/rg)
Newton's Universal Law of Gravitation -every particle in universe attracts every other particle with force along line joining them -force is directly proportional to product of masses and inversely proportional to square of distance between them
Newton's Universal Law of Gravitation formulas -F = G mM/r^2 -G = 6.674 x 10^-11 N x m^2/kg^2 -m and M: masses of two bodies -r: distance between centers of mass -F: magnitude of gravitational force -mg = G mM/r^2 -g = GM/r^2
Kepler's First Law orbit of each planet about Sun is ellipse with Sun at one focus
Kepler's Second Law each planet moves so that imaginary line drawn from Sun to planet sweeps out equal areas in equal times
Kepler's Third Law -ratio of squares of period of any two planets about Sun is equal to ratio of cubes of their average distances from Sun -(T_1)^2/ (T_2 )^2 = (r_1)^3/(r_2)^3
Period and radius of a satellite’s orbit about a larger body M -T^2 = 4π^2/GM x r^3 -r^3 / T^2 = GM/4π^2
altitude of satellite above Earth h = r - R_E -r: distance between satellite and Earth -R_E: radius of Earth
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