PHY 2048L Study Guide - Final Guide: Gas Constant, Angular Frequency, Mach Wave
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= (cid:1006) [(cid:1005)/t] = (cid:1006) = [k/(cid:373)] e(cid:395)uatio(cid:374) fo(cid:396) a(cid:374)d a(cid:374)gula(cid:396) displa(cid:272)e(cid:373)e(cid:374)t due to si(cid:373)ple ha(cid:396)(cid:373)o(cid:374)i(cid:272) (cid:373)otio(cid:374) = t + (cid:631) (cid:449)he(cid:396)e = (cid:448)/a a(cid:374)d is the a(cid:374)gula(cid:396) speed of the pa(cid:396)ti(cid:272)le equation for u, potential energy in simple harmonic motion. U = . 5 k a(cid:1016) (cid:272)os(cid:1016)(cid:894) t + (cid:631)(cid:895) K = . (cid:1009) k a(cid:1016) si(cid:374)(cid:1016)(cid:894) t +(cid:631)(cid:895) U = . (cid:1009) k(cid:455)"(cid:1016) + u (cid:449)he(cid:396)e u id (cid:272)aused (cid:271)(cid:455) g(cid:396)a(cid:448)it(cid:455) equation for the acceleration of a pendulum (only for small oscillations) d /dt = - (cid:1016) (cid:449)he(cid:396)e (cid:1016) = g/l. Is the angle in the string period of a simple pendulum (for small oscillations) T = (cid:1006) / = (cid:1006) [g/l] equation for the angle in the string of a pendulum. = + cos( t + (cid:631)) where is the maximum angular displacement equation for the period of large-amplitude oscillatons (no longer a simple harmonic)
