Wave Calculations PDF

Wave Calculations P2 Lesson Learning Goals I will be able to label the parts of a wave I will be able to complete calculations using the wave equation Waves (Video) A wave originates from a ___...

Wave Calculations P2 Lesson Learning Goals I will be able to label the parts of a wave I will be able to complete calculations using the wave equation Waves (Video) A wave originates from a _______________ vibration that causes a disturbance ○ _____________ gets transferred from one point to another Energy own ○ _____________ does NOT get transferred Matter ferrea Parts of a Wave ❖ Crest (“peak”) – highest point ❖ Trough (“valley”) – lowest point ❖ Amplitude – height of wave from rest Mitate ○ Base Unit: meters ___________ m ❖ Wavelength (𝛌) – length of one full wave ○ Base Unit: meters ___________ m ❖ Frequency (ƒ)– number of waves (cycles) per second ○ Base Unit: Hertz ___________ Hz ◦ Formula: f f or f cycles ❖ Period (T) – time to complete ONE full wave (base unit of seconds) ◦ T ○ Base Unit: seconds ___________ s Formula: I Examples 1. Calculate the period of a wave that has a 2. Calculate the frequency of a wave that takes frequency of 5 Hz. 4 seconds to complete one full wave. 2 I E I T T 4s f THz 0.25 1 2542 1 Wave Calculations P2 Lesson The Wave Equation (Video) 𝑉 = speed (m/s) 𝑓 = frequency (Hz or cycles/second) λ = wavelength (m) ❖ Wavelength and frequency are _______________________ proportional (when one ↑, the other ↓) indirectly Speed of Light 3.00 108m s ❖ The speed of light (c) is a constant value of _______________________ (it always stays the same) ○ a vacuum air issimilar c represents the speed of light traveling through _______________________________ Examples 1. A ripple tank produces waves with a frequency 3. A light ray has a frequency of 2.5 × 1010 MHz. of 5.2 Hz and a wavelength of 0.148 m. a) What is its wavelength? What is the speed of the waves? E Is i thespeedis0.770mis 2. A sound wave travels at 340 m/s. A musical 3.00108 mis I i thewavelengthis1.2108ms note has a frequency of 440 Hz. b) What type of light is it? What is the wavelength of the sound waves? it is UVlightbasedon its wavelength andfrequencyfromtheelectromagneticspectrum I i thewavelength is 0.772m 2  Wave Calculations P2 Homework Practice Questions Multiple Choice 1. Which of the following is TRUE about waves? 3. What colour of light would you see if λ = 600 nm? A) λ = height of wave C) Energy is transferred A) Red light C) Orange light B) 𝑓 = time/wave D) Matter is transferred B) Green light D) Yellow light 2. When the frequency increases (↑), the wavelength: 4. What is the speed of light in a vacuum (or air)? 3 8 A) decreases C) stays the same A) 3. 0 × 10 𝑚/𝑠 C) 3. 0 × 10 𝑚/𝑠 6 12 B) also increases D) fluctuates B) 3. 0 × 10 𝑚/𝑠 D) 3. 0 × 10 𝑚/𝑠 Short Answer (Level 1–2) 5. Calculate the period of a wave where 𝑓 = 240 Hz. 6. Calculate the frequency of a wave where T = 18 s. 3,40k T f I F I ii thefrequency is s.soxw242 7. 804166 A merry-go-round spins 4500 times in 2 hours. 8. I s A series of waves have a wavelength of 4 m and a Calculate the frequency. Round to TWO decimals. frequency of 14 Hz. Calculate the speed of the waves. S thespeedis S i thefrequencyis 0.62542 EIJI IIII IIIa son's o.oz. c 9. The following wave (not to scale) has a total height of 3 m, a wavelength of 6 m, and takes 2.5 s to complete 1 full wave. a) Label the crest, trough, rest position, wavelength, and amplitude. st wavelength b) What is the period of this wave? amplitude rest c) How much time would it take to complete the wave shown? amplitude 2 intotal i 5.6seconds faves trough d) Calculate the frequency of this wave? wavelength bonuswhatis theamplitude F EEsi.sm 0.442 10. Use the information calculated from the previous question (#9) to calculate the speed of the wave. i thespeed ofthe wave is 2.4mis m 3 Wave Calculations P2 Homework Short Answer (Level 2–4) 11. A pendulum swings back and forth 20 complete cycles 12. The speed of a wave is 630 m/s and the frequency is in 0.011 hours. What is its period? 45 Hz. What is its wavelength? Is it 13. Certain radio waves have a wavelength of 759 m and V fd 19m i thewavelengthis14m 14. A radio wave has a frequency of 7.2 × 1015 Hz and travel at the speed of light. What is its frequency? travels at the speed of light. What is its wavelength? s f V fi V fd 15. A sound wave has a speed of 330 m/s and a 16. A wave travels with a wavelength of 4.7 nm and a frequency of 0.678 kHz. What is its wavelength? frequency of 115 kHz. What is its speed? i I L 5 42 I FA ithewavelengthis0.487m thespeedis5.4110 mis 17. A certain red light has a wavelength of 652 nm. 18. A certain light from a distant galaxy has a frequency of What is its frequency? 0.75 Hz. What is its wavelength? v3.00108m's in E A f 400 0 v v fx I i thewavelengthis 4.00 102 frequencyis4.6010 Ha i the 19. A certain electromagnetic radiation has a frequency of 7.2 × 1015 Hz. What is its wavelength? What type of radiation is it? f 7.2 10sH2 thewavelength is 4.17108m v 3.00 10m's 3 useelectromagneticspectrum via 4