Q36. If the amplitude of the sine fun... [FREE SOLUTION]

Chapter 14: Q36. (page 767)

If the amplitude of the sine function is $0.25$ , write the equations for tuning forks that resonate with a frequency of $64, 256$ , and $512$ Hertz.

Short Answer

Expert verified

The equations of tuning fork with frequencies $64, 256$ and $512$ hertz, are $y = 0.25 \sin 128 蟺 t$ , $y = 0.25 \sin 512 蟺 t$ and $y = 0.25 \sin 1024 蟺 t$ respectively.

Step by step solution

Step 1. Given information

A tuning fork with amplitude 0.25 and three different frequencies is given.

Step 2. Concept used

Put the values of amplitude and frequencies in the general equation and simplify it.

The general equation is-

$y = A \sin 蝇 t$

Where $A =$ amplitude and $蝇 =$ angular frequency

Step 3. Calculation

First we have to find the value of angular frequency as-

$蝇 = 2 蟺 f$

For $f = 64$ ,

localid="1648445552461" $\begin{array}{l} y = A \sin 蝇 t \\ y = 0.25 \sin (2 蟺脳 64) t \\ y = 0.25 \sin 128 蟺 t \end{array}$

For $f = 256$ ,

localid="1648445559965" $\begin{array}{l} y = A \sin 蝇 t \\ y = 0.25 \sin (2 蟺脳 256) t \\ y = 0.25 \sin 512 蟺 t \end{array}$

For $f = 512$ ,

localid="1648445568618" $\begin{array}{l} y = A \sin 蝇 t \\ y = 0.25 \sin (2 蟺脳 512) t \\ y = 0.25 \sin 1024 蟺 t \end{array}$

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91影视

If the amplitude of the sine function is $0.25$ , write the equations for tuning forks that resonate with a frequency of $64, 256$ , and $512$ Hertz.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

One App. One Place for Learning.

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91影视

If the amplitude of the sine function is 0.25, write the equations for tuning forks that resonate with a frequency of 64,256, and 512 Hertz.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Discrete Mathematics

Decision Maths

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

If the amplitude of the sine function is $0.25$ , write the equations for tuning forks that resonate with a frequency of $64, 256$ , and $512$ Hertz.