A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting: F minimum

Answers

Answer 1

Complete Question

A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting:

a)F minimum

b) F maximum

c) Frequency resolution

Answer:

a) [tex]Fmax=100Hz[/tex]

b) [tex]Fmin=0Hz[/tex]

c) [tex]F_r=0.0313[/tex]

Step-by-step explanation:

From the question we are told that:

Time [tex]t=32sec[/tex]

Frequency[tex]F=200Hz[/tex]

Segments [tex]\mu=5[/tex]

Generally the equation for Frequency Range is mathematically given by

[tex]Fmax=\frac{F}{2}[/tex]

[tex]Fmax=100Hz[/tex]

Therefore

a) [tex]Fmax=100Hz[/tex]

b) [tex]Fmin=0Hz[/tex]

Generally the equation for Frequency Resolution is mathematically given by

[tex]F_r=\frac{F}{N}[/tex]

Where

N=The Total dat points

N=Sampling Frequency *Time

[tex]N=200*32[/tex]

[tex]N=6400[/tex]

Therefore

[tex]F_r=\frac{200}{6400}[/tex]

[tex]F_r=0.0313[/tex]

Related Questions

I need to calculate the surface area and volume of this figure.

Answers

but am not pretty sure

the volume of cone is =1/3 pie r² h

I think this is the formula to calculate it

What is an inscribed polygon is being constructed

Answers

Answer:

An inscribed polygon might refer to any

polygon which is inscribed in a shape,

especially: A cyclic polygon, which is

inscribed in a circle

Answer:

A square

Step-by-step explanation:

Find the volume of the cubes or rectangular prisms in cubic centimeters.
SS
8
125 cm
126cm
ਹੈ।
135cm
rectangular prism with a length,
width and height of 5 cm. 5 cm.
and 5 cm, respectively
cube with a side length of 5 cm
of a
cube with a side length of 5 cm
rectangular prism with a length,
width and height of 5 cm 5 cm.
and 5 cm, respectively

Answers

Answer:

ans : it is order wise

a) 6/125 cm³

b) 8/125 cm³

c) 1/125 cm³

d) 36/125 cm³

Step-by-step explanation:

for rectangular prism = length × width × height

= (1/5) × (2/5) × (3/5)

= 6/125 cm³

for cube = length³

= (2/5)³

= 8/125 cm³

for cube = (1/5)³

= 1/125 cm³

for rectangular prism = (3/5) × (4/5) × (3/5)

= 36/125 cm³

STEM:

If you can rewrite a quadratic equation as a product of factors that equals zero, you
can solve the equation. To solve equations in this manner, you must use all your
factoring skills.

Example:

What are the solutions of the equation x2– x = 20?

First rewrite the equation so that one side equals zero.

x2– x = 20

x2 – x – 20 = 20 – 20

x2 – x – 20 = 0

Subtract 20 from each side.

Simplify.

Now, factor to rewrite the equation as a product of factors equal to zero. Find two
integers whose product is –20 and whose sum is –1. The product of 4 and –5 is
–20, and the sum of 4 and –5 is –1.

x + 4 = 0

x + 4 – 4 = 0 – 4

x = –4

x2 – x – 20 = 0

(x + 4)(x – 5) = 0

or

or

or

x – 5 = 0

x – 5 +5 = 0 +5

x = 5

The solutions are –4 and 5.

These "solutions" tell us where our quadratic function passess through the x-axis (ie this tells us the "roots" aka "x -intercepts" aka "zeros" aka "solutions" aka "zeros" are)

Question:

In the graph provided in the example, what do the coordinates (-4,0) and (5,0) represent?

A
The y- intercept of the function (ie where the function passes through the y-axis)

B
The x-intercept of the function (ie where the function passes through the x-axis)

C
The vertex of the function

D
none of the above

E
the zeros of the quadratic function

F
the roots of the quadratic function

Answers

9514 1404 393

Answer:

A, E, F

Step-by-step explanation:

Every point on the graph has coordinates (x, f(x)). This means a point such as (-4, 0) or (5, 0) is a point on the x-axis where f(x) = 0. It is all of ...

an x-intercepta root of the functiona zero of the function

These terms are used essentially interchangeably.

plzz help ill mark u brainliest

A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals

Answers

Answer:

a. angle 4 is congruent to angles 1, 2, 3, 5

b angle 5 is congruent to angles 1, 2, 3, 4

c. the sum of angles 1, 4, and 5 is 180°

d. The sum of angles 1, 2, and 3 is 180 °

Step-by-step explanation:

a. all angles are the same measurement

b. all angles are the same measurement, you know this by measuring

c. they are on a striaght 180 degree line

d. the sum of a triangles angles are always 180 degrees

The area of a rectangular rug is 16 square feet. If the length of the rug measures 6 feet long, what is the width?

Answers

Answer:

6ft

Step-by-step explanation:

javahvpaiudbajbd;kjbzcuvbjkabr;kabga

Answer:

2 2/3 ft

Step-by-step explanation:

w = A/l

plug in the values

w = 16/6

solve.

2.6... = 2 2/3

therefore the width of the rug is 2 2/3 ft

What is the 5th term in the geometric sequence described by this explicit
formula?
an = 30 • (-2)(n-1)

Answers

Answer:

-240

Step-by-step explanation:

n = 5

a₅ = 30* (-2)(5 - 1)

= 30 * (-2)*4

= 30 * (-8)

= - 240

Which choice is equivalent to the quotient shown here for acceptable
values of X?
square root 30(x - 1)/square root15(x - 1)^2?
A. sr30(x - 1) - 5(x - 1)?
B. sr6(x - 1)
C. sr 6/(x - 1)
D. sr150(x - 1)^3

Answers

The answer to this question is A

Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had decreased by 2%. If the rate of decay is proportional to the amount of the substance present at time t, determine the half-life of the radioactive substance. (Round your answer to one decimal place.)

Answers

For initial 100 milligrams of a radioactive substance was if decreased by 2% in 8 hours, then half-life of the radioactive substance is 108.3 hours.

Rate of change is the change in one variable due to change in other.

Given the following:

Amount of a radioactive substance initially present=100mg

After 8 hours, mass decreased by 2%

Mass after 8 hours= 100-(2% of 100)

=100-(2*100/100)

=100-2

=98

The rate of decay is proportional to the amount of the substance present at time t.

Mathematically,

Let the amount of radioactive substance is A and at time t,

[tex]\dfrac d{dt}A\ \alpha\ A\\\\[/tex]

[tex]\dfrac d{dt}A= kA\\\\\\dA=kAdt[/tex]

On integrating both sides,

[tex]\int \frac {1}{kA}dA=\int dt\\\\[/tex]

[tex]\dfrac {ln A}{k}=t +ln \ c_1\\ln A =kt+k\ ln \ c_1\\[/tex]

On taking antilogarithm both sides,

[tex]e^{ln A} =e^{kt+k\ ln \ c_1\\A=e^{kt}e^{k\ ln \ c_1}\\A=e^{kt}e^{\ ln \ c_1^k}\\A=e^{kt}c_1^k \\[/tex]

Let, [tex]c_1^k=c[/tex]

[tex]A =e^{kt}c[/tex].................................1

At t=0, A=100

Substituting values in 1

[tex]100= e^0c\\c=100[/tex]

At t= 8, A=98

[tex]98=e^{k8}100\\0.98=e^{8k}\\8k=ln0.98[/tex]

k=-0.0064.

To determine the half time of the decay.

At half time A became A/2=50 mg

Substituting in 1.

[tex]50=e^{-0.0064t}100\\ln 0.5=-0.0064t\\t=\frac{ln 0.5}{-0.0064}\\t=108.3042\\t=108.3[/tex]....................................rounded to one decimal place.

Thus, The half-life of the radioactive substance is 108.3 hr.

Learn more about rate of change, here:

https://brainly.com/question/29044610

#SPJ12

3. 72 in. ___ = ft help

Answers

Answer:

6 feet

Step-by-step explanation:

Answer:

72in is 6 feet

Step-by-step explanation:

Which graph could represent the equation y=-x^2+4?

Answers

J because this is a quadratic function which is shaped like a u upward

Please assist, I'm really bad with word problems

Answers

Answer:

The surface area of the balloon is [tex]S(t) = \frac{100}{49} \pi t^8[/tex]

Step-by-step explanation:

Given;

S(r) = 4πr²

where;

S is the surface area of the balloon

r is the radius of the surface

The radius of the balloon at time "t" is given as;

[tex]r(t)= \frac{5}{7} t^4 \ \ \ t\geq 0[/tex]

The surface area of the balloon as a function of time "t" is calculated as;

[tex]S(t) = 4\pi (\frac{5}{7} t^4)^2\\\\S(t) = 4\pi (\frac{25}{49} t^8)\\\\S(t) = \frac{100}{49} \pi t^8[/tex]

If a decagon is a regular decagon, then what is the measure of each interior angle?

a. 150°
b. 162°
c. 144°
d. 240°

Answers

Answer: the answer is 144 i kinda had the answer already

Step-by-step explanation:

Answer:

c. 144

Step-by-step explanation:

In a regular polygon, each interior angle has the same measure. There is a formula to find the angle given the number of sides. We are looking at a decagon, which has ten sides, so we would plug the value 10 into the following formula:

[tex]\frac{180(n-2)}{n}\\\frac{180(10-2)}{10} \\\frac{180*8}{10} \\18*8\\144[/tex]

This is option c.

Point A’ is the image of Point A when point A is rotated about the origin B. What angle in the counterclockwise direction is A rotated through?

Answers

Answer:

90 degrees

Step-by-step explanation:

use the cummutative property of addition to write an expression equivalent to 15a+b

Answers

Answer:

15a + b = b + 15a

lol is this right?

Step-by-step explanation:

If 3w +6=21 find the value of w

Answers

Answer:

[tex]3w + 6 = 21 \\ 3w = 15 \\ w = 5[/tex]

Hey there!

[tex]\mathsf{3w + 6 = 21}[/tex]

SUBTRACT 6 to BOTH SIDES

[tex]\mathsf{3w + 6 - 6 = 21 - 6}[/tex]

CANCEL out: 6 - 6 because that gives you 0 KEEP: 21 - 6 because it helps you solve for w

[tex]\mathsf{21 - 6 = \boxed{\bf 15}}[/tex]

NEW EQUATION: [tex]\mathsf{3w = 15}[/tex]DIVIDE 3 to BOTH SIDES

[tex]\mathsf{\dfrac{3w}{3}=\dfrac{15}{3}}[/tex]

CANCEL out: [tex]\mathsf{\dfrac{3}{3}}[/tex] because that gives you 1KEEP: [tex]\mathsf{\dfrac{15}{3}}[/tex] because that gives you the value of wNEW EQUATION: [tex]\mathsf{\dfrac{15}{3}=w}[/tex]

[tex]\mathsf{\dfrac{15}{3}=\boxed{\bf 5}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your answer: \huge \bf w = 5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

what is the circumference of circle with a diameter of 9 feet? Use 3.14 for tt

Answers

Answer:

28.26

Step-by-step explanation:

The formula for calculating diameter is πd (pi times the diameter), so 3.14 times 9 is 28.26.

C= pi * d
C= 3.14 * 9
C= 28.26 ft

Que número es menor que 2 1/2?
a-6/3
b-7/2
c-3
d-4

Answers

la respuesta es a- 6/3

Select the correct answer. Which graph represents the solution to the inequality?

Answers

Answer:

Step-by-step explanation:

First you simplify both sides to get -2.4x+14.4 > 52.8

then you need to subtract the 14.4 from both sides giving -2.4x> 38.4

then divide both sides by -2.4 giving an answer of

x is less than or equal to -16 meaning you point to the left with a closed circle

linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4

Answers

Answer:

-x+y+6z=? You did not spcify so I just made it 0

x = -22/5, y = -4/5, z = -3/5

Step-by-step explanation:

Solve the following system: