Explain Nyquist Theorem?

Answers

Answer 1
Answer:

Final answer:

The Nyquist Theorem is a principle in digital communications specifying that a signal must be sampled at least twice its highest frequency in order to accurately reproduce the original analog signal. An example is digitizing an audio signal with a highest frequency of 20 kHz, which needs to be sampled at a minimum rate of 40 kHz.

Explanation:

The Nyquist Theorem, also known as Nyquist-Shannon sampling theorem, is a principle that engineers follow when digitizing analog signals. This theorem is fundamental for understanding how digital audio technology works. It states that a signal must be sampled at least twice its highest frequency in order to accurately reproduce the original analog signal. In simpler terms, it's a guideline for converting a continuous analog wave into a series of discrete digital samples.

Let's take an example. Suppose you have an audio signal with a maximum frequency of 20 kHz. According to the Nyquist Theorem, you need to sample that audio signal at a rate of at least 2 (20 kHz) = 40 kHz to accurately digitize it. This is why the standard sample rate for audio CDs is 44.1 kHz (slightly higher than the 40 kHz rate determined by the Nyquist Theorem).

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A roller coaster starts down a hill at 10 m/s. Three seconds later, its speed is 32 m/s. What is the roller coaster’s acceleration?Question 1 options:

-7.3 m/s


-7.3 m/s2


3 m/s

3 m/s 2
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Question 2 (2 points) Question 2 Unsaved
Natalie accelerates her skateboard along a straight path from 4 m/s to 0 m/s in 25.0 s. Find the acceleration.

Question 2 options:

-6.25 m/s2


0.16 m/s2


-0.16 m/s2


6.25 m/s2

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Question 3 (2 points) Question 3 Unsaved

Find the average acceleration of a northbound subway train that slows from 12 m/s to 9.6 m/s in 0.9 s

Question 3 options:

-2.7 m/s2


2.7 m/s2


-2.7 m/s


2.7 m/s

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Question 4 (2 points) Question 4 Unsaved
What is a chicken’s rate of acceleration that speeds up from 4 mph (mi/h) to a top speed of 9 mi/h in 0.5 hr?

Question 4 options:

2.5 mi/h/s


-2.5 mi/h/s


2.5 mi/h2


10 mi/h2

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Question 5 (2 points) Question 5 Unsaved
Which units would be appropriate to measure Acceleration?

Question 5 options:

m/s with direction


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Kg (m/s)


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Answers

1) a = Δv/Δt
a = (32-10)/3
a = 7.33 m/s²

2) a = (0 - 4)/25
a = -0.16 m/s²

3) a = (9.6 - 12) / 0.9
a = -2.7 m/s²

4) a = (9-4)/0.5
a = 10 mi/h²

5) m/s²

A household fan draws 0.520 amps of current when the voltage is 120 V. How large is the resistance on the fan

Answers

Answer:

= 230.8 ohms

Explanation:

From ohms law, V = IR

R=V/I

R = 120 ÷ 0.520

R = 230.8 ohms

Momentum is a measure of ____.a. how hard it is to stop an object
b. the amount of matter in an object
c. the tendency of an object to change its motion
d. the amount of force acting on an object

Answers

Answer: Option (a) is the correct answer.

Explanation:

Momentum is the ability of an object to continue its motion. It can be measured by multiplying mass of the object and its velocity.

Mathematically,               p = m × v

where                     p = momentum

                               m = mass

                                v = velocity

Therefore, we can conclude that out of the given options, momentum is a measure of how hard it is to stop an object.

Final answer:

Momentum is a measure of how hard it is to stop an object.

Explanation:

Momentum is a measure of how hard it is to stop an object. It depends on the mass and velocity of the object.

The formula for momentum is:
Momentum = mass x velocity.

Therefore, option a. 'how hard it is to stop an object' is the correct answer.

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Micah knows that a car had a change in velocity of 15 m/s. To determine acceleration, Micah also needs the_____ of the total trip in seconds.

Answers

Answer:

time

Explanation:

Answer:

Distance

Explanation:

When vibrational motion in an object increases, which is a true statement? A.
Kinetic energy, temperature, and thermal energy increase.


B.
Kinetic energy, temperature, and thermal energy decrease.


C.
Kinetic energy and temperature decrease; thermal energy increases.


D.
Kinetic energy and temperature increase; thermal energy decreases.

Answers

A -..................................is the correct option

Answer:

The answer is A

Explanation:

D= ((vf+vi)/2) t
Solve for vi

Answers

D= ((vf+vi)/2) t

D = (vf +vi)*t/2

2*D = (vf +vi)*t

2D/t = vf +vi

vf +vi =  2D/t

vi = 2D/t - vf
= t(Vf + Vi/2) 
Vf + Vi/2 = d/t 
Vf = (d/t) - Vi/2 

Answer: Vf = (d/t) - Vi/2 OR (2dt - Vit)/2t