What is the Young's modulus of a nylon rope used for climbing?

In summary, Option d) 86 x 106 Pa is measured in Pascals, which is the SI unit for pressure. To convert it to other units of measurement, you can use various conversions such as 1 Pa = 1 N/m². It represents a very high pressure, approximately 850 times higher than the atmospheric pressure at sea level. In scientific research, it is commonly used to measure high pressures in various systems and in engineering and industrial applications. Although it may not directly affect our everyday lives, it is significant in understanding and designing systems and structures and ensuring their safety and functionality under high pressure conditions.
  • #1
pietro18
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0

Homework Statement




For safety climbing, a mountaineer uses a nylon rope that is 41m long and 0,4 cm in diameter. When supporting a 97kg climber, the rope elongates 1,8m. Find its Young’s modulus. The acceleration of gravity is 9,8 m/s2

a) 82,46 x 108 Pa
b) 17,18 x 108 Pa
c) 25 x 106 Pa
d) 86 x 10 6 Pa


Homework Equations





The Attempt at a Solution

 
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  • #2
PLZ help
 
Last edited:
  • #3
Pietro, please use one thread per HW problem. This cuts down on the confusion when folks want to reply to your posts.

Also, you must show an attempt at solution of your HW problem per the forum rules.
 

1. What is the unit of measurement for Option d) 86 x 106 Pa?

Option d) 86 x 106 Pa is measured in Pascals, which is the SI unit for pressure. It is equivalent to one newton per square meter (N/m²).

2. How do you convert Option d) 86 x 106 Pa to other units of measurement?

To convert Option d) 86 x 106 Pa to other units of measurement, you can use the following conversions:
1 Pa = 1 N/m²
1 Pa = 0.000145037738 psi
1 Pa = 0.00001 bar
1 Pa = 0.00001 MPa
1 Pa = 0.01 millibar
1 Pa = 0.001 kPa
1 Pa = 0.000001 MPa

3. What does Option d) 86 x 106 Pa represent in terms of pressure?

Option d) 86 x 106 Pa represents a very high pressure. To put it into context, the average atmospheric pressure at sea level is around 101,325 Pa. This means that Option d) 86 x 106 Pa is approximately 850 times higher than the atmospheric pressure we experience everyday.

4. How is Option d) 86 x 106 Pa used in scientific research?

Option d) 86 x 106 Pa is often used in scientific research to measure high pressures in various systems, such as in gas or liquid experiments, material testing, and geological studies. It is also commonly used in engineering and industrial applications to determine the strength and durability of materials under pressure.

5. What is the significance of Option d) 86 x 106 Pa in everyday life?

Option d) 86 x 106 Pa may not have a direct impact on our everyday lives, but it is an important unit of measurement in understanding and designing various systems and structures. It is also used in industries such as automotive, aerospace, and construction to ensure the safety and functionality of products and structures under high pressure conditions.

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