A wave travelling along a strong is described by
`y(x,t)=0.005 sin (80.0x-3.0t)`
in which the numerical constants are in SI units `(0.005m, 80.0 rad m^(-1)` and `3.0 rad s^( -1))`. Calculate (a) the amplitude. (b) the wavelength (c) the period and frequency of the wave. Also , calculate the displacement y of the wave at a distance `x=30.0` cm and time t=20 s?

A wave travelling along a string is given by y(x,t)=0.05 sin (40x-5t) , in which numerical constants are in SI units. Calculate the displacement at distance 35 cm from origin, and time 10 sec.

A wave on a string is described by y(x,t)=0.005sin(6.28x-314t) , in which all quantities are in SI units. Calculate its amplitude and wavelength.

A wave travelling in a string is y(x, t) = 0.4 sin (30x - 2t) where all numerical constants are in SI units. Calculate the displacement at a distance of 25 cm and t = 6s.

What will be the frequency of the wave, if its time period is 0.05 s ?

The equation of a transverse wave traveling along a very long string is y 3.0 sin (0.020pi x -4.0pit), where x and y are expressed in contimeters and t is in seconds. Determine (a) the amplitude. (b) the wavelength, (c) the frequency (d) the speed, (e) the direction of propagation of the wave, and (f) the maximum transverse speed of a particle in the string (g) What is the transverse displacement at x=3.5 cm when 0.26s ?

A wave travelling along the x-axis is described by the equation y (x, t) = 0.005 sin ( alphax - betat ). If the wavelength and time period of the wave are 0.08 m and 2 s respectively, then alpha, beta in appropriate units are

A wave travelling along the x-axis is described by the equation v(x, t) = 0.005 cos(alpha x - betat) . If the wavelength and the time period of the wave are 0.08m and 2.0s , respectively, then alpha and beta in appropriate units are

A wave travelling along a string is given by y(x, t) = 20 sin 2pi (t - 0.003 x) x, y are in cm and t is in seconds. Find the amplitude, frequency, wavelength and velocity of the wave.

The displacement of a particle of a string carrying a travelling wave is given by y = (3.0cm) sin 6.28 (0.50x - 50t), where x is in centimetre and t in second Find (a) the amplitude, (b) the wavelength, (c ) the frequency and (d) the speed of the wave.

A transverse harmonic wave is described by y(x, t) = 0.05 sin pi(4t - 0.03 x) (x is in metre). What will be the instantaneous phase difference between two points separated by 20 cm ?