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sergiy2304 [10]
2 years ago
6

Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string that has a linear mass density of 4.00× 10⁻²kg /m . T

he source can deliver a maximum power of 300 W , and the string is under a tension of 100 N . What is the highest frequency ∫ at which the source can operate?
Physics
1 answer:
mylen [45]2 years ago
7 0

The highest frequency (f) at which the source can operate is given as:

f = 55.133Hz.

<h3>What are sinusoidal waves?</h3>

The most realistic representation of how many objects in nature change state is a sine wave or sinusoidal wave.

A sine wave depicts how the intensity of a variable varies over time.

<h3>What is the calculation justifying the above result?</h3>

P = (1/2) μω²A²v

300W = 1/2 (4 X 10⁻²kg/m) ω₂ (0.05m)²v

Thus the wave speed is:

v = √(T/μ)

= √[(100N)/(4 X 10⁻²kg/m)

= 50m/s

300W = 1/2(4 X 10⁻²kg/m) ω²(0.05m)² (50m/s)

⇒ ω = 346.41 1/s

ω = 346.41 1/s

= 2πf

⇒ f = 55.133Hz


Learn more about Sinusoidal waves:
brainly.com/question/20912200
#SPJ4

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