Question

What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (67 m-')x + (41 rad/s)t – 7/8) 1. Is this wave transverse or longitudinal? 2. Which direction is the wave moving? 3. Amplitude 4. Angular wave number 5. Wavelength 6. Angular frequency 7. Phase angle 8. Linear frequency 9. Period 10. Velocity of wave 11. Maximum vibration speed

Answer 1

y (6,t) = (9.00m) sin((60 m-1)3 + (uit rad/s)+ - 1/) if the oscillation of particle is perpendicules to direction of propagation of wave then the wave is called 'Transverse wave" -Given wave is propagating in negative x-direction. -> Particle is oscillating in y-direction. So the wave is Transverse wave (1.) Is this wave is toansverse or a longitudinal ? Ans. - wave is transverse. y(,t) = Asin (wt+kx+) This wave is travelling in negative x-direction, direction is the wave moving? negative x-direction (2.) which Ans -

y(x, t) = A sin(wt + Kx -) A= Amplitude w= angular frequency (3.) Amplitude = A = 9.00m ( by comparing) (4.1 Angular wave number K= 21 = 6 m- TK = 67 m-1 I (5) Wavelength 27 m d: 27 GIT | d= 0.33 m) d= 0.33 m (6.) Angular frequency w = ut radis Coeff. of "t" in equation (7.) Phase angle

6 linear frequency = = 2H2 ☺ Period - $ -0.5 sec Velocity of wave - Ý = UTI mis 6 TT = 0.67 m/s maximum vibration speed- = Aw = 9 (4) m/sec = 36 T m/sec

tri Transverse -ive a direction cajon í si 9.00 m GT m- 0.33 m 40 rad/sec -118 rad. 2H2 i t o oo 0.5 sec 0,67 m/sec 36 T m/sec