uniform circular motion - david liaodavidliao.com/handouts/physics/11.1 ap physics 1/4.1 ucm...

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Uniform circular motion DAVID LIAO. COM Kinematics radius =2 circumference period (lap time) = 1 frequency []= 1 s = Hz =2 angular frequency TAN = = 2 tangential speed IN = TAN 2 inward (centripetal) acceleration Dynamics IN = Σ IN I net of inward (centripetal) force components

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Page 1: Uniform circular motion - David Liaodavidliao.com/handouts/Physics/11.1 AP Physics 1/4.1 UCM cribsheet.pdf · Uniform circular motion. DAVID LIAO. COM . Kinematics . 𝑟𝑟; radius

Uniform circular motion

DAVID LIAO.COM

Kinematics

𝑟𝑟 radius

𝑐𝑐 = 2𝜋𝜋𝑟𝑟 circumference

𝑇𝑇 period (lap time)

𝑓𝑓 =1𝑇𝑇

frequency [𝑓𝑓] = 1s

= Hz

𝜔𝜔 = 2𝜋𝜋𝑓𝑓 angular frequency

𝑣𝑣TAN =𝑐𝑐𝑇𝑇

=2𝜋𝜋𝑟𝑟𝑇𝑇

tangential speed

𝑎𝑎IN =𝑣𝑣TAN2

𝑟𝑟

inward (centripetal) acceleration

Dynamics

𝑎𝑎IN =Σ𝐹𝐹IN𝑚𝑚I

net of inward (centripetal) force components

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