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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College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter11: Fluid Statics

Section: Chapter Questions

Problem 82PE: Calculate the pressure due to the ocean at the bottom of the Marianas Trench near the Philippines,...

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(a) When water freezes, its volume increases by 9.05% (that is, V/V0=9.05102 ). What force per unit area is water capable of exerting on a container when it freezes? (It is acceptable to use the bulk modulus of water in this problem.) (b) Is it surprising that such forces can fracture engine blocks, boulders, and the like?
Use the graph in Figure P14.46 to list the three materials from greatest Youngs modulus to smallest. Explain your reasoning. FIGURE P14.46
Normal forces of magnitude 1.0106N are applied uniformly to a spherical surface enclosing a volume of a liquid. This causes the radius of the surface to decrease from 50.000 cm to 49.995 cm. What is the bulk modulus of the liquid?
A company is testing a new material made of recycled plastic for use in construction. Figure P14.48 is a graph of the stress as a function of strain for this material. Find Youngs modulus for this material and compare your result with the data for conventional building materials listed in Table 14.1.
During heavy lifting, a disk between spinal vertebrae is subjected to a 5000-N compressional force. (a) What pressure is created, assuming that the disk has a uniform circular cross section 2.00 cm in radius? (b) What deformation is produced if the disk is 0.800 cm thick and has a Young's modulus of 1.5109N/m2 ?
(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?
Discuss how you might measure the bulk modulus of a liquid.
A uniform rope of cross-sectional area 0.50cm2 breaks when the tensile stress in it reaches 6.00106N/m2 . (a) What is the maximum load that can be lifted slowly at a constant speed by the rope? (b)What is the maximum load that can be lifted by the rope with an acceleration of 4.00m/s2 ?
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
A 90-kg mountain climber bangs from a nylon rope and stretches it by 25.0 cm. If the rope was originally 30.0 m bog and its diameter is 1.0 cm, is Young’s modulus for the nylon?
Bone has a Youngs modulus of 18 109 Pa. Under compression, it can will island a stress or about 160 106 Pa before breaking. Assume that a femur (thigh bone) is 0.50 m long, and calculate the amount of compression this bone can withstand before breaking.
Calculate the pressure due to the ocean at the bottom of the Marianas Trench near the Philippines, given its depth is 11.0 km and assuming the density of sea water is constant all the way down. (b) Calculate the percent decrease in volume of sea water due to such a pressure, assuming its bulk modulus is the same as water and is constant. (c) What would be the percent increase in its density? Is the assumption of constant density valid? Will the actual pressure be greater or smaller than that calculated under this assumption?

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