Given the diagram below, Hannah writes m 1+ m 4 = 180°, m 2 + m 5 = 180°, and m 3+ m 26 = 180°. Which of the following reasons a
llows her to write these sums?
1 answer:
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Answer:
.
Step-by-step explanation:
The minimum and maximum value of over all real
are
and
, respectively. Hence, the maximum and minimum value of
would be:
- Maximum:
.
- Minimum:
.
The midline equation of a sine wave is a horizontal line that is right in the middle of maximum and minimum -values of that sine wave. In the sine wave in this question, the average of the maximum and minimum
-values is
. Hence, the midline equation of this sine wave would be
.
The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
Reasons:
The general form of the equation of the simple harmonic motion of the
mass is <em>d</em> = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation
Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds
Combining the above values gives the modelling equation as follows;
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×
%
%
∴ 32% is left to be plant.