PaedookHintPrintReferencesCheck my worl20Required informationA piano "string" is steel wire with radius 0.500 mm and length1.60 m. It is under 830 N of tension. The density of steel is7860 kg/m³ (see table 9.1). The Young's modulus of steel is2.00 × 1011 Pa (see table 10.1).Part 3 of 3SkippedRequired informationA piano "string" is steel wire with radius 0.500 mmand length 1.60 m. It is under 830 N of tension. Thedensity of steel is 7860 kg/m³ (see table 9.1). TheYoung's modulus of steel is 2.00 × 1011 Pa (see table10.1).What is the speed of transverse waves on the string?m/sConsider the wire to be a thin solid steel rod. What is the speed oflongitudinal waves (i.e., sound) in the wire? (Longitudinal waves in thewire do contribute to the characteristic sound of the piano.)km/s

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University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 60P: A 100-N weight is attached to a free end of a metallic wire that hangs from the ceiling. When a...

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Use the graph in Figure P14.46 to list the three materials from greatest Youngs modulus to smallest. Explain your reasoning. FIGURE P14.46
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(a) The "lead" in pencils is a graphite composition with a Young's modulus of about 1109 N/ m2. Calculate the change in length of the lead in an automatic pencil if you tap it straight into the pencil with a force of 4.0 N. The lead is 0.50 mm in diameter and 60 mm long. (b) Is the answer reasonable? That is, does it seem to be consistent with what you have observed when using pencils?
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The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.50 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 50.0 cm2. Youngs modulus for the concrete is 30.0 109 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.00 106 N/m2. (a) By what distance will the rod compress the concrete when the original tension in the rod is released? (b) What is the new tension T2 in the rod? (c) The rod will then be how much longer than its unstressed length? (d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length? (e) Find the required original tension T1 in the rod. Figure P12.27
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Review. On a day that the temperature is 20.0C, a concrete walk is poured in such a way that the ends of the walk are unable to move. Take Youngs modulus for concrete to be 7.00 109 N/m2 and the compressive strength to be 2.00 109 N/m2. (a) What is the stress in the cement on a hot day of 50.0C? (b) Does the concrete fracture?

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