Stress and Strain, simple question Just need a clarification

In summary, a tow truck is using a 9.1 m long steel cable with a radius of 0.50 cm to pull a car out of a ditch. When the car begins to move, the tension in the cable is 980 N. The cable has stretched by solving for delta L using the equation F/A = Y (delta L / L0), where A is the area of the cable and Y is the steel constant of 2.0 x 10¹¹ N m². The correct formula for A is pi*r^2 and r should be converted to meters.
  • #1
grandprix
28
0

Homework Statement



A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.1 m long?
and has a radius of 0.50 cm .when the car just begins to ,move , the tension in the cable is 980 N. how much has the cable stretched?

Y steel= 2.0 x 10¹¹ N m²

Homework Equations



F/A = Y (delta L / L0 )


The Attempt at a Solution



We just need to solve for delta L, but I am having difficulty figuring out what A would be - any help? What A formula for the cable do I use?
 
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  • #2
nvermind I think I got it!

890/(2pi*r(in meters) = Y (delta L/9.1)

is this correct?
 
  • #3
the A in the equation is area, the steel is circular to [itex]A=\pi r^2[/itex] and convert r to metres.
 
  • #4
thanks so much!
 

1. What is the difference between stress and strain?

Stress is the force applied to an object per unit area, while strain is the resulting deformation or change in shape of the object due to the applied stress.

2. How do stress and strain affect materials?

Stress and strain can cause materials to deform, break, or fail. The amount of stress a material can withstand before breaking is known as its tensile strength, while the amount of strain a material can withstand before permanently deforming is known as its elastic limit.

3. What factors can influence stress and strain?

The type of material, its shape and size, the amount and direction of applied force, and environmental conditions such as temperature and humidity can all influence the stress and strain experienced by a material.

4. How is stress and strain measured?

Stress is typically measured in units of force per unit area, such as pounds per square inch (psi) or newtons per square meter (N/m^2). Strain is typically measured as a percentage or in units of length, such as millimeters per meter (mm/m).

5. Can stress and strain be beneficial?

Yes, in some cases stress and strain can be beneficial. For example, in weightlifting, the stress placed on muscles causes them to grow and become stronger. In engineering, controlled amounts of stress and strain can be used to shape and strengthen materials for specific purposes.

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