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E-61
No. 15 Cycle of Simple Pendulum
Determines the cycle (
T) of a simple pendulum with a string of length .
T = 2πg(g: gravitational acceleration, > 0)
T = 2πg(g: gravitational acceleration, > 0)Units: : m, T : seconds
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 = 2πk
m(m,k > 0)
T = 2πk
m(m,k > 0) Units: m : kg, k : N/m, T : seconds
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.
Units: v , v 1 and u : m/s, f 1 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.
f = f1
(
v v1,f1> 0, (vu)/( vv1)> 0
)
vv1
vu
f = f1
(
v v1,f1> 0, (vu)/( vv1)> 0
)
vv1
vu
P=V
nRT (R: gas constant, n,T,V > 0)
P=V
nRT (R: gas constant, n,T,V > 0)Units: n : mol, T : K, V : m3, P : N/m3
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.
F=r
v2
m(m,v,r > 0)
F=r
v2
m(m,v,r > 0) Units: m : kg, v : m/s, r : m, F : N
No. 20 Elastic Energy
Determines the elastic energy (
U) of an object when its elastic constant (
K) and elongated
length (
x) are known.
U=Kx2
2
1(K,x > 0)
U=Kx2
2
1(K,x > 0) Units: K : N/m, x : m, U : J
62


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