Casio fx-50F PLUS - Manual (Page 62)

E-61
No. 15 Cycle of Simple Pendulum
Determines the cycle ( T ) of a simple pendulum with a string of length .
T = 2
π
g
( g : gravitational acceleration, > 0 )
T = 2
π
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 = 2
π
k
m
( m , k > 0)
T = 2
π
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 = f
1
(
v
≠
v
1
, f
1
>
0, ( v − u )/( v − v
1
)
>
0
)
v − v
1
v − u
f = f
1
(
v
≠
v
1
, f
1
>
0, ( v − u )/( v − v
1
)
>
0
)
v − v
1
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 = K x 2
2
1
( K , x > 0)
U = K x 2
2
1
( K , x > 0) Units: K : N/m, x : m, U : J