Longitudinal waves in a spring have a wavelength of 50mm.The vibrator making them is vibrating at 5 oscillations per second.
Calculate the speed of the waves.
To calculate the speed of the waves, you can use the formula:
speed (v) = frequency (f) × wavelength (λ).
Given:
Frequency (f) = 5 oscillations per second
Wavelength (λ) = 50 mm = 0.05 m
Substituting the values in the formula:
v = f × λ
v = 5 oscillations/second × 0.05 m/oscillation
v = 0.25 m/s
Therefore, the speed of the waves is 0.25 m/s.
To calculate the speed of the longitudinal waves in the spring, you need to use the formula:
Speed = wavelength * frequency
Given:
Wavelength = 50 mm (which needs to be converted to meters for consistent units)
Frequency = 5 oscillations per second
First, convert the wavelength from mm to meters:
1 meter = 1000 mm
So, 50 mm = 50/1000 = 0.05 meters
Now, substitute the values into the formula:
Speed = 0.05 meters * 5 oscillations per second
The unit "oscillations" should be converted to hertz, as it represents the frequency of vibrations per second. So, 5 oscillations per second is equivalent to 5 Hz.
Speed = 0.05 meters * 5 Hz
= 0.25 meters per second
Therefore, the speed of the longitudinal waves in the spring is 0.25 meters per second.