- #1
SpringWater
- 27
- 0
Homework Statement
An aluminum rod is clamped at the one- quarter position and set into longitudinal vibration by a variable-frequency driving source. The lowest frequency that produces resonance is 6180 Hz.
Find the length of the rod. The speed of sound in aluminum is 4860 m/s.
Homework Equations
The Attempt at a Solution
f= (V) / (λ) or f=((n)*(V)) / (λ) I am having a hard time understanding the concepts
I have tried to figure this out but I am at a loss, why if we clamp the rod at (L/4) does the equation become.. f=V/L
How does the position change the formula? And for f=n*V / λ if n=2 and λ=2L then it makes sense to me but from the given data how do I know there are two anti-nodes or second harmonics?
Any help in explaining how I can further understand this would be greatly appreciated.
Thank you