Question

a wave is described by where x is in meters, y is in centimeters and t is in seconds. The angular frequency is

Answer 1

Complete Question

A wave is described by y(x,t) = 0.1 sin(3x + 10t), where x is in meters, y is in centimetres and t is in seconds. The angular wave frequency is

Answer:

The value is
`w =  10 \ rad /s`

Step-by-step explanation:

From the question we are told that

The equation describing the wave is y(x,t) = 0.1 sin(3x + 10t)

Generally the sinusoidal equation representing the motion of a wave is mathematically represented as

`y(x,t) =  Asin(kx + wt )`

Where w is the angular frequency

Now comparing this equation with that given we see that

`w =  10 \ rad /s`