Piano strings are made of a fibre which is pulled taut. When the string is tapped in the centre by a striker the resonance produces a musical note. The bending of the string causes a strain of up to 0.2% and a stress of up to 100 MPa. Based on the function and requirements of a piano string and the properties listed (E = tensile modulus, oy = yield stress, &f = failure strain, p = density), which of the following materials would you choose? O a. polypropylene (E = 1.5GPa, oy = 40MPa, &f = 100%, p = 0.9 g/cm³) O b. aluminium (E = 70GPa, oy = 40MPa, &ƒ = 50%, p = 2.7 g/cm³) polyethylene (E = 1GPa, oy = 20MPa, &f=200%, p = 0.9g/cm³) O c. O d. steel (E = 210GPa, σy = 680MPa, &f = 5%, p = 7.8 g/cm³) e. silica glass (E = 94GPa, oy =7,000 MPa, &f = 0.1%, p = 2.6 g/cm³)
Piano strings are made of a fibre which is pulled taut. When the string is tapped in the centre by a striker the resonance produces a musical note. The bending of the string causes a strain of up to 0.2% and a stress of up to 100 MPa. Based on the function and requirements of a piano string and the properties listed (E = tensile modulus, oy = yield stress, &f = failure strain, p = density), which of the following materials would you choose? O a. polypropylene (E = 1.5GPa, oy = 40MPa, &f = 100%, p = 0.9 g/cm³) O b. aluminium (E = 70GPa, oy = 40MPa, &ƒ = 50%, p = 2.7 g/cm³) polyethylene (E = 1GPa, oy = 20MPa, &f=200%, p = 0.9g/cm³) O c. O d. steel (E = 210GPa, σy = 680MPa, &f = 5%, p = 7.8 g/cm³) e. silica glass (E = 94GPa, oy =7,000 MPa, &f = 0.1%, p = 2.6 g/cm³)
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter12: Composite Materials
Section: Chapter Questions
Problem 20CQ
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![Piano strings are made of a fibre which is pulled taut. When the string is tapped in the centre by a striker the resonance produces a
musical note.
The bending of the string causes a strain of up to 0.2% and a stress of up to 100 MPa.
Based on the function and requirements of a piano string and the properties listed (E = tensile modulus, oy = yield stress, &f=failure strain,
p = density), which of the following materials would you choose?
O a. polypropylene (E = 1.5GPa, oy = 40MPa, &f = 100%, p = 0.9 g/cm³)
O b. aluminium (E = 70GPa, oy = 40MPa, &f=50%, p = 2.7 g/cm³)
c.
polyethylene (E = 1GPa, oy = 20MPa, &f = 200%, p = 0.9g/cm³)
O d. steel (E = 210GPa, oy = 680MPa, &f = 5%, p = 7.8 g/cm³)
O e. silica glass (E = 94GPa, σy =7,000 MPa, &f = 0.1%, p = 2.6 g/cm³)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e4b2a12-a1da-45d5-a99b-ced286d2c5f7%2Fbfb42517-eebe-4029-86d2-5d45125ffb30%2Fadvajjc_processed.png&w=3840&q=75)
Transcribed Image Text:Piano strings are made of a fibre which is pulled taut. When the string is tapped in the centre by a striker the resonance produces a
musical note.
The bending of the string causes a strain of up to 0.2% and a stress of up to 100 MPa.
Based on the function and requirements of a piano string and the properties listed (E = tensile modulus, oy = yield stress, &f=failure strain,
p = density), which of the following materials would you choose?
O a. polypropylene (E = 1.5GPa, oy = 40MPa, &f = 100%, p = 0.9 g/cm³)
O b. aluminium (E = 70GPa, oy = 40MPa, &f=50%, p = 2.7 g/cm³)
c.
polyethylene (E = 1GPa, oy = 20MPa, &f = 200%, p = 0.9g/cm³)
O d. steel (E = 210GPa, oy = 680MPa, &f = 5%, p = 7.8 g/cm³)
O e. silica glass (E = 94GPa, σy =7,000 MPa, &f = 0.1%, p = 2.6 g/cm³)
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