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This problem returns to the tightrope walker studied in

Chapter 5, Problem 43

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QUESTION:

This problem returns to the tightrope walker studied in Example \(4.6\), who created a tension of \(3.94 \times 10^{3} \mathrm{~N}\) in a wire making an angle \(5.0^{\circ}\) below the horizontal with each supporting pole. Calculate how much this tension stretches the steel wire if it was originally \(15 \mathrm{~m}\) long and \(0.50 \mathrm{~cm}\) in diameter.

Equation Transcription:

Text Transcription:

4.6

3.94 times 10^3 N

5.0 degrees

15 m

0.50 cm

Questions & Answers

QUESTION:

This problem returns to the tightrope walker studied in Example \(4.6\), who created a tension of \(3.94 \times 10^{3} \mathrm{~N}\) in a wire making an angle \(5.0^{\circ}\) below the horizontal with each supporting pole. Calculate how much this tension stretches the steel wire if it was originally \(15 \mathrm{~m}\) long and \(0.50 \mathrm{~cm}\) in diameter.

Equation Transcription:

Text Transcription:

4.6

3.94 times 10^3 N

5.0 degrees

15 m

0.50 cm

ANSWER:

Problem 43PE

This problem returns to the tightrope walker studied in Example 4.6, who created a tension of  N in a wire making an angle . below the horizontal with each supporting pole. Calculate how much this tension stretches the steel wire if it was originally 15m long and 0.50 cm in diameter.

Example 4.6:

Calculate the tension in the wire supporting the 70.0-kg tightrope walker shown in Figure 4.17

Figure 4.17 The weight of a tightrope walker causes a wire to saf 5.0 degrees. The system of interest here is the wire at which the tightrope walker is standing.

                                                              Step by step solution

Step 1 of 2

The change in length due to applied force can be calculated by using the formula below as

Here,   is the elastic modulus of Young's modulus,   is the force per unit area

applied and  is the initial length.

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