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zvonat [6]
3 years ago
8

The Position Of A Particle Moving In The Xy Plane Is Given By R= [2.0*cos(3.0t)i+ 2.0*sin(3.0t)j] Where R Is In Meters And T Is

In Seconds A) Show That This Represents Circular Motion Of Radius 2.0m Centered At The Origin.
Physics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Answer:

Explanation:

We can prove that this is a circular motion if we demonstrate that the norm of the vector is independent of time. Hence we have

R(t)=2.0cos(3t)\hat{i}+2sin(3t)\hat j\\\\|R(t)|=\sqrt{4cos^2(3t)+4sin^2(3t)}\\\\|R(t)|=\sqrt{4(cos^2(3t)+sin^2(3t))}\\\\

but cos^2(3t)+sin^2(3t)=1. Thus we obtain

|R(t)|=\sqrt{4}=2

The norm is independent of t, thus, the particle describes a circular motion

Hope this helps!!

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If a short-wave radio station broadcasts on a frequency of 9.065 megahertz (MHz), what is the wavelength of
Yakvenalex [24]

Answer:

If the radio wave is on an FM station, these are in Megahertz. A megahertz is one ... Typical radio wave frequencies are about 88~108 MHz .

Explanation:

To calculate the wavelength of a radio wave, you will be using the equation: Speed of a wave = wavelength X frequency.

Since radio waves are electromagnetic waves and travel at 2.997 X

10

8

meters/second, then you will need to know the frequency of the radio wave.

If the radio wave is on an FM station, these are in Megahertz. A megahertz is one million hertz. If the radio wave is from an AM radio station, these are in kilohertz (there are one thousand hertz in a kilohertz). Hertz are waves/second. Hertz is usually the label for the frequency of electromagnetic waves.

To conclude, to determine the wavelength of a radio wave, you take the speed and divide it by the frequency.

Typical radio wave frequencies are about

88

~

108

MHz

. The wavelength is thus typically about

3.41

×

10

9

~

2.78

×

10

9

nm

.

7 0
2 years ago
The local high school is installing new bleachers at the stadium and must also add handrails to meet code. The students know the
Advocard [28]

Answer:

The handrails must be approximately 10.63 meters long

Explanation:

The given parameters are;

The height of the bleachers, h = 8 m

The depth of the bleachers, d = 7 m

The length of the hand rails to go along the bleachers from bottom to top is given by Pythagoras' Theorem as follows;

The length of the hand rail = √(d² + h²)

∴ The length of the hand rail = √(7² + 8²) = √113 ≈ 10.63

In order for the handrails to go along the bleachers from top to bottom, they must be approximately 10.63 meters long.

5 0
3 years ago
What is the frequency of a sound wave with a wavelength of 0.04 meter in air? What type of wave is
Viktor [21]
8500 Hz and Longitudinal


Speed = frequency x wavelength

Speed of sound at 20 degrees Celsius is approximately 340 m/s
4 0
3 years ago
Read 2 more answers
what are three activities in your everyday life that involve electromagnetic energy? and explain what type of electromagnetic en
mihalych1998 [28]

1). While I'm driving the car, I keep my eyes pointed out the front window,

so that LIGHT WAVES coming straight in through the front window get into

them. Using this process, I'm able to SEE what's in front of me, so that I don't

drive straight into it.


2). Also while I'm driving the car, I usually have the radio on, and I tune it

to a frequency where the RADIO WAVES that it responds to are being

modulated by people who are either talking or else playing classical music.


3). Before I leave the house on most days, I take a small container of

frozen Irish oatmeal out of the freezer, and I load it into the big box

above the stove, where MICROWAVE ENERGY thaws it, and warms

it to a nice eating temperature.


3A). When I arrive at my job, I usually do things that are also associated

in some way with MICROWAVE energy, since I work as a microwave

system design engineer. Most of the time it's just paperwork, but there

ARE times when I work with an actual radio that's either generating or

detecting real microwave energy, and either sending it up to, or receiving

it down from, a big dish antenna on a radio tower. Those are the days that

I like the best.

8 0
3 years ago
0.0084x91 ...................
Drupady [299]

Answer:

0.0084×91=0.7644

Explanation:

hope this helps

8 0
3 years ago
Read 2 more answers
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