Standing waves, frequency, wavelength and speed D; Help

AI Thread Summary
The discussion focuses on calculating the wavelength of interfering waves in a standing wave scenario with a frequency of 10.0 Hz. The distance between the third and sixth nodes is given as 54 cm, which is crucial for determining the wavelength. It is noted that the distance between a node and its nearest connecting node equals half the wavelength (1/2λ). Using this relationship, the wavelength can be calculated as 2 times the distance between the nodes. The conversation emphasizes applying the correct equations to solve for both wavelength and wave speed effectively.
milliex51
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What is the wavelength of the interfering waves?

Homework Statement



Standing waves are produced in a string by sources at each end with a frequency of 10.0 Hz. The distance between the third node and the sixth node is 54 cm.

a) What is the wavelength of the interfering waves? b) What is their speed?

Homework Equations



I believe I should use: T= 1/f, v=λ/T or v=fλ or v=Δd/Δt

The Attempt at a Solution

 
Last edited:
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Using those equations, write out what each symbol is and what the given value in the question for that is:

Wavelength (λ) = ?
Frequency (f) = 10Hz

It should be more clear then.
 
Remeaber that the distance between a node and its nearest a connecting node is equal to 1/2λ. Hope this helps :)
 
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}...
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