E-61
No. 15 Cycle of Simple Pendulum
Determines the cycle (
T
) of a simple pendulum with a string of length .
T = 2π
g
(g: gravitational acceleration, > 0)
T = 2π
g
(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 = 2π
k
m
(m, k > 0)
T = 2π
k
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 (
f
1
), acoustic velocity
(
v
), sound source movement speed (
v
1
) 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, (v− u)/(v− v1) > 0
)
v− v1
v− u
f
= f1
(
v ≠ v1, f1 > 0, (v− u)/(v− v1) > 0
)
v− v1
v− u
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
: m
3
,
P
: N/m
3
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
v
2
m
(m, v, r > 0)
F =
r
v
2
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= Kx
2
2
1
(K, x > 0)
U= Kx
2
2
1
(K, x > 0)
Units:
K
: N/m,
x
: m,
U
: J