 Review: Circular Motion and Universal Gravitation Printer Friendly Version
 Newton's Three Laws Law of InertiaLaw of AccelerationLaw of Action-Reaction centripetal force Fc = mac centripetal acceleration ac = v2/r tangential velocity v = 2πr/T v = rω where ω = 2πrf (frequency in hz) centripetal acceleration ac = 4π2r/T2 relationship between period (T) and frequency (f) f = 1 / T centripetal acceleration ac = 4π2r f 2 friction f = μN conical pendulums T cos(θ) = mgT sin(θ) = Fc = m v2/r source of centripetal force for a banked curvewhen traveling at critical speed Fc = N sin(θ) [remember that N cos(θ) = mg] critical speed for a banked curve tan(θ) = v2/rg universal gravitation F = GM1M2/r2 universal gravitation constant 6.67 x 10-11 N m2 / kg2 Kepler's Third Law T2/R3 = 4π2/GMcentral body a unique constant for every satellite system gravitational field strength g = G Mcentral body /r2where r = Rcentral body + h Kepler's Second Law vARA = vPRP a satellite's tangential velocity and orbital radius are inversely proportional Conservation of Energy Σ(PE + KE)before = Σ(PE + KE)afterPE = mghKE = ½mv2 kinematics equations s = vo t + ½ at2vf 2 = vo2 + 2asvf = vo + ats = ½ ( vo + vf ) t range of a projectile R = vH t

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1984 C1 - gravitron
2002 B2 - conical pendulums
1989 B1 - conical pendulum
1999 B5 - friction and circular motion
2002 C2 - Kepler's Laws
1977 B2 - banked curves Related Documents