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A wave has a wavelength of 3 meters and it vibrates 10 times per second. What is the velocity of this wave?

2 Answers

3 votes

Let assume:

  • Wavelength of the wave =
    {\sf \lambda}
  • Frequency of the wave =
    {\sf f}
  • The velocity =
    {\sf \\u}

Here, we given that the wave vibrates 10 times/second. Implies, it oscillates 10 times in a second, 10 times in the next second and so on.

We have the formula with us
{\boxed{\bf \\u = \lambda f}}

Substitute the values given above:


{:\implies \quad \sf \\u = 10 * 3 * (m)/(s)}

Solving will yield


{\boxed{\rm \\u = Velocity\:=30m/s}}

User Reyaner
by
7.5k points
2 votes

Answer:


\red{V = 30 {ms}^( - 1) }

Step-by-step explanation:

The formula to find the velocity of a wave is:

V = f λ

Here,

V = velocity of the wave

f = frequency of the wave (The number of times per second) = 10Hz

λ = wavelength of the wave = 3m

Let us solve it now.


V = f λ


V = 10Hz * \: 3m


V = 30 {ms}^( - 1)

User Cristina Carrasco
by
7.5k points