What are the two ways in which weathering can occur

A harmonic wave on a string is described by

xxMikexx [17]

$\huge{\bold{\orange{\underline{ Solution }}}}$

<h3>Given :-</h3>

A harmonic wave on a string is described by

$\sf{ Y( x, t) = 0.1 sin(300t + 0.01x + π/3)}$

x is in cm and t is in seconds

<h3>Answer 1 :-</h3>

Equation for travelling wave :-

$\sf{ Y( x, t) = Asin(ωt + kx + Φ)...eq(1)}$

Equation for stationary wave :-

$\sf{ Y( x, t) = Acos(ωt - kx )...eq(2)}$

Given equation for wave :-

$\sf{ Y( x, t) = 0.1 \:sin(300t + 0.01x + π/3)...eq(3)}$

On comparing eq(1) , (2) and (3)

We can conclude that, Given wave represent travelling wave.

<h3>Answer 2 :-</h3>

From solution 1 , We can say that,

$\sf{ Y( x, t) = 0.1 \: sin(300t + 0.01x + π/3).}$

It is travelling from right to left direction

Hence, The direction of its propagation is right to left that is towards +x direction.

<h3>Answer 3 :-</h3>

Here, We have to find the wave period

We know that,

Wave period = wavelength / velocity

Wave equation :-

$\sf{ Y( x, t) = 0.1 \:sin(300t + 0.01x + π/3).}$

ω = 300rad/s
k = 0.01

We know that, 

$\sf{v =}{\sf{\dfrac{ ω}{2π}}}{\sf{\: and\:}}{\sf{ λ =}}{\sf{\dfrac{ 2π}{k}}}$

Subsitute the required values,

$\sf{ wave\: period =}{\sf{\dfrac{ 2π/k}{ω/2π }}}$

$\sf{ wave \:period = }{\sf{\dfrac{k}{ω}}}$

$\sf{ wave\: period =}{\sf{\dfrac{ 0.01}{300}}}$

$\sf{ wave\: period = 0.000033\: s}$

<h3>Answer 4 :-</h3>

The wavelength of given wave

$\bold{ λ = }{\bold{\dfrac{2π}{k}}}$

Subsitute the required values, 

$\sf{ λ = }{\sf{\dfrac{2 × 3.14 }{0.01}}}$

$\sf{ λ = }{\sf{\dfrac{6.28}{0.01}}}$

$\sf{ λ = 628 \: cm }$

<h3>Answer 5 :-</h3>

We have wave equation

$\sf{ Y( x, t) = 0.1 sin(300t + 0.01x + π/3).}$

Travelling wave equation :-

$\sf{ Y( x, t) = A\:sin(ωt + kx + Φ)...eq(1)}$

Therefore, 

Amplitude of the wave particle

$\sf{ A = 0.1 \: cm}$

Hence, The amplitude of the particle is 0.1 cm

8 0

2 years ago

Why is motion a vector?

Slav-nsk [51]

Answer:

there is no motion for victor

5 0

3 years ago

Read 2 more answers

This is the constructive or destructive overlap of waves.

natima [27]

Wave interference is the phenomenon that occurs when two waves meet while traveling along the same medium. The interference of waves causes the medium to take on a shape that results from the net effect of the two individual waves upon the particles of the medium.

6 0

3 years ago

A car travels along a straight road to the east for

Korvikt [17]

Answer: 90 m/s, 70 m/s

Explanation:

Given

A car travels 100 m east for 4 seconds and then turn around

goes back west for 50m in 1 sec

Distance traveled in the east is $100\times 4=400\ m$

Distance traveled in the west is $50\times 1=50\ m$

Total distance $=400+50=450\ m$

total displacement $=400-50=350\ m$

total time $t=4+1=5\ s$

Average speed

$\Rightarrow s_{avg}=\dfrac{\text{distance}}{\text{time}}=\dfrac{450}{5}\\\\\Rightarrow s_{avg}=90\ m/s$

Average velocity

$\Rightarrow v_{avg}=\dfrac{\text{displacement}}{\text{time}}=\dfrac{350}{5}\\\\\Rightarrow v_{avg}=70\ m/s$

6 0

3 years ago

The speed of sound in air on a certain stormy day is about 1130 feet per second. you see a flash of lightning striking some dist

Anna35 [415]

Answer 4,520 feet Explanation The light and the sound were produced at the same time but sound took long to reach since is speed is much lower than the speed of light. Speed is the rate of change of distance. So; Distance = speed × time = 1130 × 4 = 4,520 feet.

6 0

3 years ago