The tension in the wire.

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Answer 1

Question

Chapter 18, Problem 17P

(a)

To determine

The tension in the wire.

(b)

To determine

The temperature that the wire reaches the elastic limit.

(c)

To determine

Whether the answer of part (a) and part (b) would change if Golden Gate Bridge were twice as long.

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The Golden Gate Bridge in San Francisco has a main span of length 1.28 km, one of the longest in the world. Imagine that a steel wire with this length and a cross-sectional area of 4.40 ✕ 10−6 m2 is laid on the bridge deck with its ends attached to the towers of the bridge, on a summer day when the temperature of the wire is 36.0°C. (a) When winter arrives, the towers stay the same distance apart and the bridge deck keeps the same shape as its expansion joints open. When the temperature drops to −10.0°C, what is the tension in the wire? Take Young's modulus for steel to be 20.0 ✕ 1010 N/m2. (Assume the coefficient of thermal expansion of steel is 11 ✕ 10−6 (°C)−1.) ? N(b) Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 ✕ 108 N/m2. At what temperature would the wire reach its elastic limit? ?°C(c) Explain how your answers to (a) and (b) would change if the Golden Gate Bridge were twice as long.

The Golden Gate Bridge in San Francisco has a main span of length 1.28 km, one of the longest in the world. Imagine that a steel wire with this length and a cross-sectional area of 4.00 x 10-6 m2 is laid on the bridge deck with its ends attached to the towers of the bridge, on a summer day when the temperature of the wire is 35.0°C. (a) When winter arrives, the towers stay the same distance apart and the bridge deck keeps the same shape as its expansion joints open. When the temperature drops to -10.0°C, what is the tension in the wire? Take Young’s modulus for steel to be 20.0 x 1010 N/m2. (b) Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 x 108 N/m2. At what temperature would the wire reach its elastic limit? (c) Explain how your answers to (a) and (b) would change if the Golden Gate Bridge were twice as long.

A steel rod is 3.00cm3.00cm in diameter at 25.00∘C25.00∘C. A brass ring has an interior diameter of 2.992cm2.992cm at 25.00∘C25.00∘C. At what common temperature will the ring just slide onto the rod? The coefficients of linear thermal expansion of steel and brass are 11.0×10−6K−111.0×10−6K−1 and 19.0×10−6K−119.0×10−6K−1, respectively

Answer 2

Question

Chapter 18, Problem 17P

(a)

To determine

The tension in the wire.

(b)

To determine

The temperature that the wire reaches the elastic limit.

(c)

To determine

Whether the answer of part (a) and part (b) would change if Golden Gate Bridge were twice as long.

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Answer 3

Question

Chapter 18, Problem 17P

(a)

To determine

The tension in the wire.

(b)

To determine

The temperature that the wire reaches the elastic limit.

(c)

To determine

Whether the answer of part (a) and part (b) would change if Golden Gate Bridge were twice as long.

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Answer 4

Question

Chapter 18, Problem 17P

(a)

To determine

The tension in the wire.

(b)

To determine

The temperature that the wire reaches the elastic limit.

(c)

To determine

Whether the answer of part (a) and part (b) would change if Golden Gate Bridge were twice as long.

Expert Solution & Answer

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Answer 5

Chapter 18, Problem 17P

(a)

To determine

The tension in the wire.

(b)

To determine

The temperature that the wire reaches the elastic limit.

(c)

To determine

Whether the answer of part (a) and part (b) would change if Golden Gate Bridge were twice as long.

Answer 6

Chapter 18, Problem 17P

(a)

To determine

The tension in the wire.

Answer 7

Chapter 18, Problem 17P

(a)

To determine

The tension in the wire.

Answer 8

(b)

To determine

The temperature that the wire reaches the elastic limit.

Answer 9

(b)

To determine

The temperature that the wire reaches the elastic limit.

Answer 10

(c)

To determine

Whether the answer of part (a) and part (b) would change if Golden Gate Bridge were twice as long.

Answer 11

(c)

To determine

Whether the answer of part (a) and part (b) would change if Golden Gate Bridge were twice as long.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 18.1 - Prob. 18.1QQ Ch. 18.3 - Consider the following pairs of materials. Which...Ch. 18.4 - If you are asked to make a very sensitive glass...Ch. 18.4 - Prob. 18.4QQ Ch. 18.5 - A common material for cushioning objects in...Ch. 18.5 - On a winter day, you turn on your furnace and the...Ch. 18 - Prob. 1P Ch. 18 - Prob. 2P Ch. 18 - Prob. 3P Ch. 18 - Liquid nitrogen has a boiling point of 195.81C at...

The tension in the wire.

Solution Summary: The author explains the tension in the wire, the cross sectional area, and the young’s modulus of the steel.

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The tension in the wire.

The temperature that the wire reaches the elastic limit.

Whether the answer of part (a) and part (b) would change if Golden Gate Bridge were twice as long.

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Chapter 18 Solutions