Standing waves and frequency

Thread starter bigsaucy
Start date May 12, 2011
Tags

Frequency Standing waves Waves

AI Thread Summary

The discussion revolves around determining the largest possible fundamental frequency of a string fixed at both ends, given its standing-wave resonances at 325Hz and 390Hz. Participants highlight that the fundamental frequency must be an integer multiple of the resonant frequencies. The largest integer that divides both 325 and 390 is identified as 65Hz. This means that 65Hz is the largest possible value for the fundamental frequency of the string. The conversation emphasizes the importance of finding the greatest common divisor in solving such frequency problems.

May 12, 2011

bigsaucy

1.) A string, stretched between two fixed posts, forms standing-wave resonances at 325Hz and 390Hz. What is the largest possible value of its fundamental frequency?

I have no idea on how to solve this problem, any assistance would be greatly appreciated.

Physics news on Phys.org

May 12, 2011

HallsofIvy

Science Advisor

Homework Helper

Any frequency must be an integer multiple of the fundamental frequency. What is the largest integer that divides both 325 and 390?

May 12, 2011

bigsaucy

would it be 65Hz?

Thread 'I've come across another fluid pressure problem I don't understand'

Neglect gravity other than that of water; neglect friction. F1=ρgsh=1000*10*1*(1+4)=50000 N; F1=ρgsh=1000*10*0.1*4=4000 N; F3=50000-4000=46000 N?

View full post »

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 »

Thread 'Understanding Forces and their Vector Components'

I was told forces are vectors so they can be divided into x and y components, but what about the normal force or the force of static friction? do you divide those into x and y components if say you had a block that was lying on an angled surface?

View full post »