41
A
= 6.82
B
= 1.44
(
A
and
B
are constants determined by a raindrop diameter of 1 mm and the
physical properties of air.)
Find the fall velocity at time
t
= 0, 1, 2, 5, 10, 15.
*As the calculations are continued,
v
approaches 6.82. Therefore, the
velocity of a raindrop is about 6.82 m/s (24.6 km/h) when it reaches the ground.
Note: The fall distance from time
t
= 0 to 15 [s] is given by the following equation.
(Calculation of integral)
v
=
A
tanh
Bt
[m/s]
1. Enter
A
tan
h
(
BX
) (use the characters
A
,
B
, and
X
to enter)
[DEG mode]
Answer
Operation
Display
<Example 2>
A drop of rain falls against an air resistance proportional to the square of the fall
velocity. The velocity
v
at time
t
seconds after the start of the fall is given by the
following equation:
B
X
(6.82tanh(1.44
x
))
dx
= 99.01718518
15
0
x
0
1
2
5
10
15
v
0
6.0950185
6.777153851
6.819992397
6.82
6.82
Hyperbolic Functions
NOTE:
This example is solved by the Simulation calculation (ALGB).
EL-W516T has the Simulation calculation (ALGB).
This function is convenient for repeated calculations using varying values of
X
.
(This example is for EL-W516T only.)
Summary of Contents for EL-W516T
Page 1: ...SCIENTIFIC CALCULATOR OPERATION GUIDE SCIENTIFIC CALCULATOR OPERATION GUIDE EL W535TG W516T ...
Page 32: ...32 Example Operation Absolute Value Returns an absolute value Display 3 4 ...
Page 35: ...35 20 30 20 17 2 30 17 2 Trigonometric Functions ...
Page 37: ...37 4 8 12 16 Trigonometric Functions ...
Page 48: ...48 3 10 20 3000 x Integration calculation dx x x 100 0 dx ...