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SCORPION-xisa [38]
3 years ago
6

What does the symbol for Monday mean???

Physics
1 answer:
pantera1 [17]3 years ago
6 0
I believe it means Ice or Freezing temperatures. 
Basically just watch for the cold, and have a jacket ready
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Why is centrifugal force is a fake force?<br>​
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Question: How is the energy in the food we eat an example of chemical potential energy?
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Which object is most efficient?
Radda [10]

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7 0
2 years ago
A transverse sinusoidal wave on a string has a period T = 25.0 ms and travels in the negative x direction with a speed of 30.0 m
lesya [120]

Answer:

a) A =0.021525m

b) \phi=0.37869rad

c) v_{max}=5.4098\frac{m}{s}

d)y(x,t)=(0.021525m)cos(\frac{8\pi}{3}x+80\pi t+0.37869)

Explanation:

1) Notation

A= Amplitude

v= velocity

\lambda= wavelength

k= wave number

\omega= angular frequency

f= frequency

2) Part a and b

The equation of movement for a transverse sinusoidal wave is gyben by (1)

y(t)=Acos(kx+ \omega t +\phi)   (1)

At x=0 ,t=0 we have that:

0.02=Acos(\phi)

The velocity would be the derivate of the position, so taking the derivate of (1) respect to t we got (2)

v(t)=-\omega Asin(kx+ \omega t+\phi)   (2)

And replacing the conditions at x=0, t=0 we got

-2\frac{m}{s}=-\omega Asin(\phi)  

Now we can find the angular frequency with equation (3)

\omega =\frac{2\pi}{T}   (3)

Replacing the values obtained we got:

\omega =\frac{2\pi}{0.025s}=80\pi \frac{rad}{s}  

From equation (1) we have:

Acos(\phi)=0.02   (a)

-2=-80\pi Asin(\phi)   (b)

So from condition (b) we have:

Asin(\phi)=\frac{1}{40\pi}   (c)

If we divide condition (c) by condition (a) we got:

\frac{Asin(\phi)}{Acos(\phi)}=tan(\phi)=\frac{1}{0.02x40\pi}=\frac{1}{0.8\pi}=0.39789

If we solve for \phi we got:

\phi =tan^{-1}(0.39789)=0.37869

And now since we have \phi we can find A from equation (a)

Acos(0.37869)=0.02

So then Solving for A we got A=\frac{0.02}{cos(0.37869)}=0.021525

3) Part c

From equation (2) we can see that the maximum speed occurs when sin(\omega t+\phi)=1, so on this case we have:

v_{max}=\omega A=80\pi \frac{rad}{s}x0.021525m=5.4098\frac{m}{s}

4) Part d

On this case we need an equation like (1), and we have everything except the wave number, and we can obtain this from the following expression:

v=\lambda f=\frac{2\pi}{k}\frac{\omega}{2\pi}=\frac{\omega}{k}   (4)

And solving for k from equation (4) we got

k=\frac{\omega}{v}=\frac{80\pi \frac{rad}{s}}{30\frac{m}{s}}=\frac{8\pi}{3}m^{-1}}

And with the k number we have everythin in order to create the wave function, given by:

y(x,t)=(0.021525m)cos(\frac{8\pi}{3}x+80\pi t+0.37869)

7 0
3 years ago
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