Calculating Period Frequency Wavelength and Velocity of Waves

Calculating Period, Frequency, Wavelength and Velocity of Waves

Measuring Waves: Variables Recap Frequency (f) # of waves passing a point in 1 second SI unit: Hertz (Hz) w shorter wavelength higher frequency higher energy w Range for human hearing = 20 – 20, 000 Hz w Range for dog hearing = 67 – 45, 000 Hz 1 second

Measuring Waves: Variables Recap period = the amount of time to complete one wavelength -measured in (s)

Wave Calculations Period and Frequency have an inverse relationship Period and Wavelength have a direct relationship Period and Velocity have an inverse relationship

Measuring the Velocity of Waves Velocity (v) speed of a wave as it moves forward Velocity has a direct relationship with both wavelength and frequency v= ×f v: velocity (m/s) : wavelength (m) f: frequency (Hz)

Practice • Calculate the frequency of a water wave that has a wavelength of 0. 5 m and a speed of 4 m/s.

Practice A toy boat in the ocean rises every 3. 0 s as wave crests pass by. The distance between wave crests is 5. 0 m. Determine the: (a) frequency, (b) period, (c) wave length f = 0. 33 Hz T = 3. 0 s λ = 5. 0 m

Practice Two speakers 3. 0 m apart are making sound with a wavelength of 48. 0 cm. What is the frequency of this sound if v = 343 m/s? v = f , 343 m/s = f (. 48 m) f = 714. 5833333