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

Question

2 years ago

13

max velocity of any point on the string is

1 answer:

kirill115 [55] · Answer 1 · 2023-03-31T04:48:23+03:00

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 $\pi$ f

where f = frequency

ω = 2 $\pi$ f

= 2*3.147*100

= 629.4 rad

A = amplitude = 2mm

Vmax = Aω

= 2 × $10^{-3}$ × 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.

<h3>What is meant by sinusoidal wave?</h3>

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.

<h3>What makes a wave a sinusoidal wave?</h3>

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:

#SPJ4