Question

Equation of wave is given by
y=0.4 sin(314-3.14x).where x
and y are in meter and in
second. The speed of the wave is
​

Answer 1

Answer:

The final answer is 1.6×$10^{-3}$ m/s

Explanation:

In this problem we use simple formula of speed in terms of wavelength and frequency. By the help of given wave equation first we need to calculate the frequency and wavelenght to get the speed.

Answer 2

Answer:

The speed of the wave is 100m/s.

​Explanation:

The speed of the wave is given as,

$v=\frac{\omega }{k}$             (1)

Where,

v=speed of the wave

ω=angular frequency of the wave

k=propagation constant

From the question we have,

$y=0.4sin(314t-3.14x)$           (2)

The amplitude of the wave(A)=0.4

The angular frequency of the wave(ω)=314

The propagation constant(k)=3.14

We get the following results by plugging the things into equation (1):

$v=\frac{314 }{3.14}$

$v=100\ m/s$

Hence, the speed of the wave is 100m/s.

#SPJ3​