When a particular wire is vibrating with a frequency of 3.8 Hz, a transverse wave of wavelength 46 cm is produced.
Determine the speed of wave pulses along
the wire. Answer in units of m/s.
Well, to determine the speed of wave pulses along the wire, we can use the formula v = λ * f, where v is the velocity, λ is the wavelength, and f is the frequency.
So, plugging in the given values, we have v = (46 cm) * (3.8 Hz) = 174.8 cm·Hz.
But of course, we want our answer in meters per second, so let's convert!
Since 1 m = 100 cm and 1 Hz = 1/s, we can convert cm·Hz to m/s by multiplying by (1 m / 100 cm) * (1/s) = 1/100 m/s.
Thus, the speed of wave pulses along the wire is 174.8 * (1/100) = 1.748 m/s.
Remember, if the wire starts running away from you at that speed, you'll have to catch it to stop it from getting away!
To determine the speed of wave pulses along the wire, we can use the formula:
Speed = Frequency × Wavelength
Given:
Frequency = 3.8 Hz
Wavelength = 46 cm
First, we need to convert the wavelength from centimeters to meters:
1 meter = 100 centimeters
Therefore, the wavelength in meters is:
46 cm ÷ 100 = 0.46 meters
Now we can substitute the values into the formula:
Speed = 3.8 Hz × 0.46 meters
Calculating:
Speed = 1.748 meters/second
Therefore, the speed of wave pulses along the wire is 1.748 m/s.
To determine the speed of wave pulses along the wire, we can use the relationship between wave speed, frequency, and wavelength. The formula is:
Wave speed = frequency × wavelength.
Given that the frequency is 3.8 Hz and the wavelength is 46 cm (which we need to convert to meters), we can substitute these values into the formula to find the wave speed:
Frequency = 3.8 Hz
Wavelength = 46 cm = 46 / 100 m = 0.46 m (since 1 meter = 100 centimeters)
Now, substitute the values in the formula:
Wave speed = 3.8 Hz × 0.46 m
Wave speed = 1.748 m/s (rounded to three decimal places)
Therefore, the speed of wave pulses along the wire is approximately 1.748 m/s.
Wavelength=V*P = V*(1/F) = V*(1/3.8) = 0.48 m.
V/3.8 = 0.48
V = 1.82 m/s