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6.1 Define the following terms: 6.1.1 Stress 6.1.2 Strain 6.2 A steel bar experiences a stress of 250 MPa - NSC Technical Sciences - Question 6 - 2020 - Paper 1

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6.1-Define-the-following-terms:--6.1.1-Stress--6.1.2-Strain--6.2-A-steel-bar-experiences-a-stress-of-250-MPa-NSC Technical Sciences-Question 6-2020-Paper 1.png

6.1 Define the following terms: 6.1.1 Stress 6.1.2 Strain 6.2 A steel bar experiences a stress of 250 MPa. The modulus of elasticity is 190 GPa. The bar has a dia... show full transcript

Worked Solution & Example Answer:6.1 Define the following terms: 6.1.1 Stress 6.1.2 Strain 6.2 A steel bar experiences a stress of 250 MPa - NSC Technical Sciences - Question 6 - 2020 - Paper 1

Step 1

Define the following terms: 6.1.1 Stress

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Answer

Stress is defined as the force applied per unit area within materials, typically measured in Pascals (Pa). Mathematically, it is expressed as:

ext{Stress} = rac{F}{A}

where F is the force applied and A is the area over which the force is applied.

Step 2

Define the following terms: 6.1.2 Strain

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Answer

Strain is a dimensionless measure of deformation representing the displacement between particles in a material body. It can be calculated as:

ext{Strain} = rac{ ext{Change in Length}}{ ext{Original Length}} = rac{ riangle L}{L_0}

Step 3

Calculate the: 6.2.1 Strain on the bar

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To calculate the strain on the bar, we first use the relationship between stress, strain, and modulus of elasticity, denoted as E:

ext{Strain} = rac{ ext{Stress}}{E} = rac{250 ext{ MPa}}{190 ext{ GPa}}

Converting units, we have:

ext{Strain} = rac{250 imes 10^6 ext{ Pa}}{190 imes 10^9 ext{ Pa}} = 0.00131579 ext{ (dimensionless)}

Step 4

Calculate the: 6.2.2 Force exerted on the bar

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Answer

To find the force exerted on the bar, we first calculate the cross-sectional area A:

A = rac{ ext{π}}{4}d^2 = rac{ ext{π}}{4}(0.06 ext{ m})^2 ext{ m}^2 \\ A \\= 2.827 imes 10^{-3} ext{ m}^2

Now we can calculate the force using the stress formula:

extForce=extStressimesA=250imes106extPaimes2.827imes103extm2=70750extN ext{Force} = ext{Stress} imes A = 250 imes 10^6 ext{ Pa} imes 2.827 imes 10^{-3} ext{ m}^2 \\ = 70750 ext{ N}

Step 5

6.3 What is the effect of an increase in temperature on the viscosity of a fluid?

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Answer

The viscosity of a fluid generally decreases with an increase in temperature. This is because higher temperatures provide more energy to the fluid molecules, allowing them to overcome intermolecular forces more easily, resulting in reduced friction and lower viscosity.

Step 6

6.4 Define a perfectly plastic body.

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Answer

A perfectly plastic body is a material that deforms continuously and permanently under the application of a stress without any increase in stress during the process. Once the yield point is reached, the material does not return to its original shape.

Step 7

6.5 Give TWO examples of perfectly plastic bodies.

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Answer

Two examples of perfectly plastic bodies are:

  1. Clay
  2. Putty

Step 8

6.6 State Pascal's law in words.

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Answer

Pascal's law states that in a confined fluid at rest, any change in pressure applied at any point in the fluid is transmitted undiminished throughout the fluid in all directions.

Step 9

6.7 A hydraulic system is used to lift a 20 000 N vehicle in a workshop. If the vehicle sits on a piston of area 0.8 m², and a force is applied to another piston of area 0.05 m², what is the minimum force that must be applied to lift the vehicle?

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Answer

To calculate the required force on the second piston, we use Pascal's principle:

rac{F_1}{A_1} = rac{F_2}{A_2}

Where:

  • F1=20000extNF_1 = 20000 ext{ N} (force due to vehicle)
  • A1=0.8extm2A_1 = 0.8 ext{ m}^2 (area of the vehicle's piston)
  • A2=0.05extm2A_2 = 0.05 ext{ m}^2 (area of the applied force)

Rearranging to find F2F_2 gives:

F_2 = rac{F_1 imes A_2}{A_1} = rac{20000 ext{ N} imes 0.05 ext{ m}^2}{0.8 ext{ m}^2} = 1250 ext{ N}

Step 10

6.8 Define the thrust of a liquid.

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Answer

The thrust of a liquid refers to the force exerted by the liquid on an object immersed in it, which acts perpendicular to the surface of the object. This force is a consequence of the pressure exerted by the liquid at the object's surface.

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