SPH3U Universal Wave Equations
Universal Wave Equation Problems
Potentially useful equations:
1
fT
1
Tf
vf
1. Convert the following frequencies into periods
a) 340 Hz b) 20 cycles/s c) 0.33 s-1
2. A tuning fork’s tines vibrate 250 times in 2.0 s. Find
a) the frequency of vibration
b) the period of vibration
3. The frequency of a tuning fork is 1000 Hz. If the wavelength is 35 cm, find the speed
of the sound wave in
a) m/s b) km/h
4. If
4
is 0.85 m and the frequency is 125 Hz, find
a) the wavelength
b) the period of the wave
c) the velocity of the wave
5. Find the period and velocity for the following frequencies if the wavelength was
found to be 0.50 m:
a) 0.30 Hz b) 400 s-1 c) 102.1 MHz
6. Find the frequency and velocity given that wavelength is 75 cm for the following
periods:
a) 0.020 s b) 15 ms c) 0.6 h
7. A source with a frequency of 20 Hz produces water waves that have a wavelength of
3.0 cm. What is the speed of the waves?
8. A wave in a rope travels at a speed of 2.5 m/s. If the wavelength is 1.3 m, what is
the period of the wave?
9. An FM station broadcasts radio signals with a frequency of 92.6 MHz. If these radio
waves travel at a speed of 3x108 m/s, what is their wavelength?
