Wave Amplitude and Knot Movement

  • Thread starter Thread starter Hughey85
  • Start date Start date
  • Tags Tags
    Amplitude Wave
AI Thread Summary
A 4.0 Hz wave with a 12 cm amplitude and a 30.0 cm wavelength travels 3.6 m in 3.0 seconds. To determine how far a knot on the string moves in that time, it's important to note that the knot reaches its amplitude peak four times per second. Over 3 seconds, the knot oscillates a total of 12 times (4 peaks per second multiplied by 3 seconds). Since the maximum displacement is 12 cm, the total vertical distance traveled by the knot is 12 cm multiplied by 12 oscillations, resulting in a total movement of 144 cm. Understanding wave motion and amplitude is crucial for calculating knot movement accurately.
Hughey85
Messages
14
Reaction score
0
A 4.0 Hz wave with an amplitude of 12 cm and a wavelength of 30.0 cm travels along a stretched string.

(a) How far does the wave travel in a time interval of 3.0 s?
m

(b) How far does a knot on the string travel in the same time interval?
m


I got the answer to part (a) by using: x= lambda x (time/frequency)
The answer I got for it was 3.6 m.
I don't know what to do for part (b) Something to do with the amplitude, but I'm not sure...pls help! Thanks!
 
Physics news on Phys.org
Consider that a knot on the string reaches its amplitude peak four times each second. (also remember that a point on a string is not displaced horizontally when the string undergoes wave motion).
 
ok...so, how would I figure (b) out? Since the amplitude is reached 4 times in a second, and the time interval is 3 seconds, and the amplitude is 12 cm, how would you figure out the distance traveled?
 
Just a small refrase of your last message:

you reach the amplitude of 12 cm 4 times per second for an interval of 3 seconds...

This might enable you to see the answer...

Regards,
Leo
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Superposition of two one-dimensional harmonic waves
Replies
10
Views
2K
Textbook 'The Physics of Waves': Varying Force Amplitude
Replies
3
Views
953
Wave equation, wavelenght not given
Replies
6
Views
2K
Wave function - displacement - transverse wave
Replies
3
Views
2K
Spring set makes up a traveling wave
Replies
16
Views
3K
Finding amplitude and wave speed in a sinusoidal wave.
Replies
4
Views
2K
Time it Takes for a Transverse Pulse to Travel a Distance "L" Up a Cable Against Gravity?
Replies
13
Views
1K
What is the amplitude of induced EMF in a magnetic dipole antenna?
Replies
3
Views
2K
Amplitude and wavelength of longitudinal wave
Replies
10
Views
6K
Sound Wave Interference and Finding the Path Differences with Diagrams
Replies
20
Views
5K

Hot Threads

Recent Insights

Back
Top