Math Problem Statement
A string has a mass per unit length of 0.0026 g/cm and is attached to an electrically driven vibrator of frquency 85 cps. How long is the string if the number of segments produced is 4 under a tension of 0.54 kg? (Answer: _____ cm
Solution
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Math Problem Analysis
Mathematical Concepts
Wave Mechanics
Frequency
Tension
Wave Speed
Standing Waves
Formulas
Wave speed formula: v = √(T/μ)
Relationship between wave speed, frequency, and wavelength: v = fλ
Relationship between string length and wavelength: L = (nλ)/2
Theorems
Principles of Wave Motion on a String
Suitable Grade Level
Grades 11-12
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