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 $w = 10 \ rad /s$

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

       $w = 10 \ rad /s$