To form a standing wave with a node centered between the two students, there should be half of a wavelength between them. Since the slinky is 3 meters long, this means the wavelength of the standing wave is 2 * 3 = 6 meters.
Now we can use the wave speed equation to find the frequency they must shake the slinky:
v = f * λ
Where v is the wave speed, f is the frequency, and λ is the wavelength. Plugging in the values, the equation becomes:
30 m/s = f * 6 m
Now, we can solve for the frequency:
f = (30 m/s) / (6 m) = 5 Hz
So, the students must shake the slinky at a frequency of 5 Hz to create the desired standing wave with a node centered between them.
A 3m slinky rests on a table with a student holding each end. The students laterally shake the ends of the slinky to generate transverse waves. The student on the left shakes the slinky at 4 Hz with a 5 cm amplitude and the student on the right shakes it at 3 Hz with a 7 cm amplitude.
The students agree to make a standing wave with a node centered between them, so they are the antinodes. at what frequency in Hz must they shake the slinky if the speed of a wave in the slinky in 30 m/s?
1 answer
1 answer