 AP Physics B Review: Circular Motion

 Newton's Three Laws Law of Inertia Law of Acceleration Law of Action-Reaction centripetal force Fc = mac centripetal acceleration ac = v ˛ / r tangential velocity v = 2pr / T v = rw where w = 2pf  ( frequency in hz) centripetal acceleration ac = 4p ˛ r / T ˛ relationship between period (T) and frequency (f) f = 1 / T centripetal acceleration ac = 4p ˛ r f ˛ friction f = m N conical pendulums T cos q = mg T sin q = Fc = m v ˛ / r source of centripetal force for a banked curve when traveling at critical speed Fc = N sin q [remember that N cos q = mg] critical speed for a banked curve tan q = v ˛ / rg universal gravitation F = G M 1 M 2 / r ˛ universal gravitation constant 6.67 x 10-11 N m ˛ / kg ˛ Kepler's Third Law T ˛ / R ł = 4p ˛ / G Mcentral body a unique constant for every satellite system gravitational field strength g = G Mcentral body / r ˛ where r = Rcentral body + h Kepler's Second Law vARA = vPRP a satellite's tangential velocity and orbital radius are inversely proportional critical velocity at the top of a vertical circle to achieve apparent weightlessness v = SQRT (rg) apparent weight at the bottom of a vertical circle N = mg + m v ˛ / r Conservation of Energy S(PE + KE)before = S(PE + KE)after PE = mgh KE = ˝ mv ˛ height of a pendulum h = L - L cos q kinematics equations s = vo t + ˝ a t ˛ vf ˛ = vo˛ + 2as vf = vo + at s = ˝ ( vo + vf ) t range of a projectile R = vH t period of a pendulum T = 2p ( L / g ) tension in pendulum at angle a take components of weight T - mg cos a = m v ˛ / r mg sin a = matangential

Web Resouces

 Resource Lessons centripetal acceleration centripetal force satellites Newton's Laws vertical circles conservation of Energy (pendulums) tensions cases
 Labs Conical Pendula Kepler's Laws
 Worksheets Circular Motion Centripetal Force Gravitational Interactions Satellite Motion
 Amusing Problems Spring Pfling circular motion gravity and satellites NextTime Questions gravitation #1 gravitation #2 satellite positions rotating disk sprial tube all AP essays conical pendulum circular motion banked curves gravitron pendulums loop-the-loops

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