Physics
09.08.2022 12:45
114
347
9
Solved by an expert

(TCO 4) A signal consists of only two sinusoids, one of 65 Hz and one of 95 Hz.

(TCO 4) A signal consists of only two sinusoids, one of 65 Hz and one of 95 Hz. This signal is sampled at a rate of 245 Hz. Find the first six positive frequencies that will be present in the replicated spectrum.
Show Answers
baller1216
baller1216
4,9(78 marks)

65 Hz, 95 Hz, 150 Hz, 180 Hz, 310 Hz, 340 Hz

Explanation:

Given :

Frequencies of the sinusoids,

$f_{m_1}= 65 \ Hz$ ,  and

$f_{m_2}= 95 \ Hz$

Sampling rate f_s = \ 245 \ Hz

The positive frequencies at the output of the sampling system are :

$f_{o_1}=\pm f_{m_1} \pm nf_s, f_{o_2}=\pm f_{m_2} \pm nf_s $

When n = 0,

$f_{o_1}= f_{m_1} = 65 \ Hz,\ \  f_{o_2}= f_{m_2} = 95 \ Hz $

when n  = 1,

$f_{o_1}=\pm f_{m_1} \pm f_s, \ \ f_{o_2}=\pm f_{m_2} \pm  f_s $

$f_{o_1}= \pm 65 \pm 245,\ \  f_{o_2}=\pm 95 \pm 245$

$f_{o_1}= 180 \ Hz, 310 \ Hz,\ \  f_{o_2}= 150 \ Hz,340 \ Hz$

When n = 2,

$f_{o_1}= \pm 65 \pm 2(245),\ \  f_{o_2}=\pm 95 \pm 2(245)$

$f_{o_1}= 555 \ Hz, 425 \ Hz,\ \  f_{o_2}= 395 \ Hz,585 \ Hz$

Therefore, the first six positive frequencies present in the replicated spectrum are :

65 Hz, 95 Hz, 150 Hz, 180 Hz, 310 Hz, 340 Hz

pandamaknae2003
pandamaknae2003
4,6(12 marks)

Explanation:

Given

mass of block=21 kg

inclination \theta =25^{\circ}

t=1.51 s

total acceleration a=g\sin \theta =9.8\times \sin (25)=4.14 m/s^2

v=u+at

v=0+4.14\times 1.51=6.25 m/s

v^2-u^2=2 as

6.25^2-0=2\times 4.14\times s

s=4.72 m

Popular Questions about the subject: Physics

What is the stone number of an onygen atom that has 8 protons in its nucleus?...
Physics
28.01.2023 15:28
Electrical forces between charges are strongest when the charges are...
Physics
13.05.2023 10:31
True or false: a wind is a horizontal movement of air from an area of high...
Physics
23.12.2022 06:51
If two objects collide and one is initially at rest, is itpossible for both...
Physics
03.07.2022 18:21
Can natural gas be reused? Why or why not? Use in your own words....
Physics
27.09.2020 10:56

New questions by subject

Calcium-fortified soy milk is part of the dairy group. For people who do not...
Health
03.03.2020 11:05
What is equivalent to 6x-3y=12...
Mathematics
04.12.2022 15:55
Which way can heat never flow?...
Physics
10.06.2022 17:54
What s the body s second line of defense against a pathogen...
Health
25.03.2020 14:53
Using Kruskal’s Algorithm which is the minimum cost for the weighted graph...
Mathematics
04.06.2023 19:50
Which of the graphs represents an exothermic reaction? (1 pt) What is your...
Chemistry
04.02.2020 18:34
Match the themes from mark twain s the £1,000,000 Bank Note with the excerpts...
English
01.11.2021 22:15
MULTIPLYWILL MARK BRAINLIEST x^2(-10x^2+1)...
Mathematics
27.02.2020 18:06
Bucky is 8 years older than Steve. Bucky is also three times Steve s age....
Mathematics
10.05.2022 06:58
This diagram shows a unicellular protist. Which structure is identified as...
Biology
06.04.2022 14:07
#
#
#
#
# #

We expand our knowledge with many expert answers