Question

Let A be the sum of the last three digits, let B be the last three digits, and let C be the last digit of your 8-digit student ID. Example: for 20245347, A = 14, B = 347, and C=7.

The speed of a wave in a string is given by v = √(FT /μ), where FT is the tension in the string and μ = mass / length of the string.

A 2.00 m long string has a mass of (A+1.50) g. A (B+25.0) g mass is attached to the string and hung over a pulley (see illustration from one of the team problems). The end of the string is then vibrated at a frequency of (125+C) Hz. Find the wavelength for the wave generated. Give your answer in centimeters (cm) and with 3 significant figures.

A=4 B= 4 C=4

Answer 1

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T = (0.004 + 0.025) x 9.8 = 0.2842 N

linear mass density = mass / length = (4 + 1.50) x 10^-3 / 2

linear mass density = 2.75 x 10^-3 kg / m

v = sqrt[ T / linear mass density]

v = sqrt[ 0.2842/ (2.75 x 10^-3)]

v = 10.166 m/s

wavelength = v / f

wavelength= 10.166 / (125 + 4)

wavelength= 0.078805 m

wavelength= 7.81 cm

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