Carmen is simplifying the expression (6. 21 0. 93) 0. 7. She recognizes that 0. 93 and 0. 07 will combine to equal 1, so she wou
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Answer:
The equation of the displacement as a function of time
is :
Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple or
terms.
Thus,
is the general form of displacement of a SHM.
where,
- <em>
is the displacement with respect to the mean position at any time
</em>
- <em>
is amplitude </em>
- <em>
is the natural frequency of oscillation (
)</em>
- <em>
is the phase angle which indicates the initial position of the object in SHM (
)</em>
given,
- Time period (
) =
- The natural frequency (
∴
=
∴
the equation :
<em>⇒ </em> ------1
since when
,
<em>⇒ ------2</em>
where n is an integer ;
<u>⇒since the bouy immediately moves in the negative direction , must be negative or c must be an odd multiple of
.</u>
<em>⇒ ------3</em>
where k is also an integer ;
the least value of ;
thus ,
the equation is :
<em></em>
<u>Formula</u>
<em>An expression that uses variables to state a rule is a </em><u><em>formula</em></u>
<h2>Explanation:</h2>An expression that uses variables to state a rule is a formula. It's important to know that formulas uses the equals sign (=) and includes two or more variables. Formulas gives us information that we express symbolically. For example, the well known formula for the volume of a sphere is defined as:
So in this formula we have a relationship between the volume of a sphere and its radius, so if we have information about the radius of it we can easily calculate the volume of it.
<h2>Learn more:</h2>Volume of prism: brainly.com/question/12501166
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