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A transverse travelling sinusoidal wave on a string has a frequency of 100hz a wavelength of 0.040m and an amplitude of 2mm the max velocity of any point on the string is

Sagot :

Vmax = 1.258 m/s

Maximum velocity of any point on the string is 1.258 m/s.

Maximum velocity is given by,

Vmax = Aω

where,

V = velocity

A = amplitude

ω = angular displacement

ω is given by,

ω = 2[tex]\pi[/tex]f

where f = frequency

ω = 2[tex]\pi[/tex]f

   = 2*3.147*100

   = 629.4 rad

A = amplitude = 2mm

Vmax = Aω

         = 2 ×[tex]10^{-3}[/tex] × 629.4

         = 1.258 m/s

Maximum velocity = Vmax =  1.258 m/s

Maximum velocity of any point on the string is 1.258 m/s.

What is meant by sinusoidal wave?

  • The curve representing a smooth repeated oscillation is known as a sine wave or sinusoidal wave.
  • The sine wave is "the wave form in which the amplitude is always proportional to sine of its displacement angle at every point in time," according to the definition.
  • Sine waves can be added together to create any wave.

What makes a wave a sinusoidal wave?

  • The waveform shape created by our straightforward single loop generator is then frequently referred to as a sine wave since it is seen to have a sinusoidal shape.
  • Because it is based on the trigonometric sine function used in mathematics (x(t) = Amax. sin), this sort of waveform is known as a sine wave.

To learn more about sinusoidal wave visit:

https://brainly.com/question/14695510

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