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 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.

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 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?

The equation of simple harmonic progressive wave is given by Y=0.05 sin pi[20t-(x)/(6)] , where all quantities are is S.I. units. Calculate the displacement of a particle at 5 m from origin and at the instant 0.1 second.

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.

A transverse wave travelling on a taut string is represented by: Y=0.01 sin 2 pi(10t-x) Y and x are in meters and t in seconds. Then,

The equation of a transverse wave travelling along a string is given by y = 5 cos pi (100t - x)cm . Its wavelength is

The displacement of a standing wave on a string is given by y (x,t) = 0.4 sin (0.5x) cos (30t) where x and y are in centimetres. (a) Find the frequency, amplitude and wave speed of the component waves. (b) What is the particle velocity at x=2.4 cm at t=0.8 s ?

The equation of a transverse wave travelling in a rope is given by y = 5 sin (4t - 0.02 x) , where y and x are in cm and time t is in second. Then the maximum transverse speed of wave in the rope is