When a particular wire is vibrating with a frequency of 5.3 Hz, a transverse wave of wavelength 69.3 cm is produced.
Determine the speed of wave pulses along the wire.
Answer in units of m/s.
To determine the speed of wave pulses along the wire, we need to use the formula:
Speed (v) = Frequency (f) × Wavelength (λ)
First, let's convert the wavelength from centimeters to meters by dividing it by 100:
Wavelength (λ) = 69.3 cm ÷ 100 = 0.693 m
Next, we substitute the values into the formula:
Speed (v) = 5.3 Hz × 0.693 m
Multiplying the frequency and wavelength:
Speed (v) = 3.6579 m/s
Rounding the answer to the appropriate number of significant figures, we get:
Speed (v) = 3.66 m/s
So, the speed of wave pulses along the wire is 3.66 m/s.