Reference no: EM131091609
Question: 1:
The Voltage V across an inductor L, in LR electrical circuit drops exponentially over time t(s)
The relationship is V=Ee-1/τ . Where the emf, E and τ are constants. Use the table of values for t and v and logarithms to plot an appropriate straight line graph
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t
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0.00
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0.010
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0.020
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0.025
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0.030
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0.040
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0.050
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v
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5.0
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2.350
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1.400
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1.050
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0.750
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0.550
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0.350
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Question:2
The amount of solute that will dissolve in a given volume of water depends on the temperature of the water. For a particular substance it is believed that the amount that will dissolve in 10 litres of water is governed by relationship:
m = Aekθ Where θ is the water temperature and A and k are constants. An experiment was performed to test this hypothesis and the following data was recorded.
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temperature
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10
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20
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30
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40
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50
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60
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70
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Mass
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4.72
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5.32
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6.02
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7.83
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8.77
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9.87
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10.14
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Plot a linear graph which confirms that the relationship is exponential
Find the values of A and K.
Question: 3
The following data are for cold worked carbon steel tested in a tensile test:
Original diameter: 12.78 mm
Final diameter: 8.43 mm
Original gauge length: 49.8 mm
Final gauge length: 61.51 mm
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Load (kN)
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5.5
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11.7
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17.0
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27.4
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40.5
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53.1
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60.5
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64.7
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66.9
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Extension
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0.010
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0.020
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0.030
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0.040
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0.050
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0.076
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0.102
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0.127
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0.152
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| Load (kN) |
68.7 |
70.5 |
71.5 |
72.1 |
72.8 |
| Extension |
0.203 |
0.254 |
0.305 |
0.356 |
0.508 |
The maximum load was 75.1 Kn. Plot the stress-strain graph and determine
a. Realistic estimation of the modulus of elasticity.
b. Relationship between stress and strain.
Question: 4
The electric current charging a capacitor is related to time by the following law.
I = 10 (1-e-t/2)
Calculate the charge Q (area under the graph) between the limits t=0 and t=6 seconds. Use calculus trapezoidal rule.
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Difference between a marshallian demand function
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Determine the stability of the closed-loop system
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The beauty of the surrounding neighborhood
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Realistic estimation of the modulus of elasticity
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