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## 9 Solids

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### 9 Solids & Fluids. elasticity of solids. pressure and pascal's principle ... Pascal's Principle. Example: A2/A1 = 100. F2/F1 = 100. Buoyancy and Archimedes' Principle ... – PowerPoint PPT presentation

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Title: 9 Solids

1
9 Solids Fluids
• elasticity of solids
• pressure and pascals principle
• buoyancy and archimedes principle
• Homework
• 1, 3, 5, 37, 39, 56, 69, 70.

2
Solid Deformation
• stress force/area pressure
• strain fractional change in length
• Solid Moduli stress/strain stiffness

3
Solid Deformation
• Length Change
• stress F/A, strain DL/Lo,
• Youngs Modulus, Y stress/strain.
• Volume Change
• stress F/A p, strain -DV/Vo,
• Bulk Modulus, B -Dp/(DV/Vo)

4
Pressure, p
• p force/area
• Unit pascal, Pa
• 1 Pa 1N/m2.
• Example 100N applied to 0.25m2. Pressure
100/0.25 400N/m2.

5
Density
• r mass/volume
• SI Unit kg/m3
• common unit g/cm3
• 1,000 kg/m3 1 g/cm3

6
Gauge Pressure is Differential Pressure
7
Depth and Fluid Pressure
• P Po rgd
• P is the pressure at depth d.
• Po is the pressure at the fluid surface
• r is the fluid density
• Example increase in pressure at a depth of 1m in
water (1,000)(9.8)(1.0) Pa

8
Barometer
9
Pascals Principle
Example A2/A1 100 F2/F1 100
10
Buoyancy and Archimedes Principle
11
L0.5m cube of steel in water
• Vo L3 (0.5m)3 0.125 m3
• FB (fl.density)(Vo)(g)
• (1,000kg/m3 )(0.125 m3 )(9.8N/kg)
• 1225N
• Compare FB to W of object
• W mg (ob.density)(ob.volume)(g)
• (7,800)(0.125)(9.8)
• 9555N
• What is its weight when under water?
• W W FB 8330N

12
1kg object is weighed in water
• W 9.2N. What is its density?
• FB W W 9.8N 9.2N 0.6N
• FB (fl.den.)(ob.vol.)(g) 0.6N
• FB (1000)(ob.vol.)(g) 0.6N
• (ob.vol.) 6.12x10-5cubic meter
• (ob.den.) mass/vol. 1kg/(6.12x10-5)
• 16,333 kg/m3. 16.333 g/cm3.
• This is not pure gold.

13
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14
End
15
Example Object mass 0.150kg density 2g/cm3 is
weighed in water.
16
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17
Example calculate speed water exits the hole in
terms of the given parameters.
18
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19
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