Casio fx-50F nRT, P, No. 17 Doppler Effect, No. 20 Elastic Energy, No. 19 Centrifugal Force, No. 15 Cycle of Simple Pendulum, No. 16 Cycle of Spring Pendulum, (m, k > 0)

No. 15 Cycle of Simple PendulumDetermines the cycle (T) of a simple pendulum with a string of length .

T = 2 π		(g: gravitational acceleration, > 0)	Units: : m, T: seconds
	g

No. 16 Cycle of Spring Pendulum

Determines the cycle of simple oscillation (T) of a spring pendulum when the mass of the weight (m) and the spring constant of the spring (k) are known.

T = 2 π	m	(m, k > 0)
			Units: m: kg, k: N/m, T: seconds
	k

No. 17 Doppler Effect

Determines the oscillation frequency (f) heard by an observer when both the sound source and observer are moving, when the sound source oscillation frequency (f1), acoustic velocity (v), sound source movement speed (v1) and observer movement speed (u) are known.

f	= f1	v− u	(v ≠ v1, f1 > 0, (v− u)/( v− v1) > 0)
		v− v1
				Units: v, v1 and u: m/s, f1 and f : Hz

No. 18 Equation of State of Ideal Gas

Determines the pressure (P) of a gas when the number of mols (n), absolute temperature (T), and volume (V) are known.

P =	nRT
		(R: gas constant, n, T, V > 0)	3	3
			Units: n: mol, T: K, V: m , P: N/m
	V

No. 19 Centrifugal Force

Determines the centrifugal force (F) for an object of mass m moving at velocity v in a circular pattern of radius r.

	v	2
			(m, v, r > 0)	Units: m: kg, v: m/s, r: m, F: N
F = m r

No. 20 Elastic Energy

Determines the elastic energy (U) of an object when its elastic constant (K) and elongated length (x) are known.

U=	1	Kx	2	(K, x > 0)	Units: K: N/m, x: m, U: J
	2

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