ps01 - ASSIGNMENT 1 Physics 218 Fall 2004 1 A musician...

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Unformatted text preview: ASSIGNMENT 1 Physics 218 Fall 2004 1. A musician finds that a string on her instrument oscillates at a frequency of 435 Hz instead of the desired 440 Hz (A). She adjusts the knob at the end of the string to bring it in tune. (a) Should she increase or decrease the tension in the string to bring it in tune? (b) What is the ratio of the correct tension τ c to the initial incorrect tension τ i ? 2. Pianos have steel strings about 1 mm in diameter for middle C (261.6 Hz). The density of piano wire is ρ = 8 g/cm 3 and the maximum stress (force per unit area) that the wire can stand without breaking is about S = 8 × 10 8 N/m 2 . (Use this value for the maximum safe stress, although individual samples of wire will break at different stresses.) (a) What should the length of the string be if the frequency is to be 261.6 Hz? (b) How does the tension in the string compare with your weight? (c) The keys on a piano range from a low A at 27.5 Hz to a high C at 4186 Hz. If all strings were the same length and same diameter, what tensions would be used for the...
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This note was uploaded on 09/28/2008 for the course PHYS 218 taught by Professor Pollack during the Fall '04 term at Cornell.

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