Homework Answers
r(T0 - T3) = [(1 + r(T0 - T1)) * (1 + r(T1 - T2)) * (1 + r(T2 - T3))]1/3 - 1
0.25 = [(1 + 0.08) * (1 + 0.09) * (1 + r(T2 - T3))]1/3 - 1
(1 + 0.25)3 = [1.08 * 1.09 * (1 + r(T2 - T3))]
1.953125 = 1.1772 * (1 + r(T2 - T3))
1 + r(T2 - T3) = 1.953125 / 1.1772
r(T2 - T3) = 1.6591 - 1
r(T2 - T3) = 0.6591, or 65.91%
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Table 3.1 Time, t (s) Position, x (m) tn/t1 Time Squared, t^2 (s^2) (tn)^2/(t1)^2 xn/x1 t1,...
Table 3.1
Time, t (s)
Position, x (m)
tn/t1
Time Squared, t^2 (s^2)
(tn)^2/(t1)^2
xn/x1
t1, 0.40
x1, 0.25
1.0
.16
1
1
t2, 0.80
x2, 0.36
2.0
.64
4
1.4
t3, 1.2
x3, 0.52
3.0
1.4
9
2.1
t4, 1.6
x4, 0.71
4.0
2.6
16
2.8
t5, 2.0
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5.8
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rc time constant:
At the circuit below detemine the ratio T2/T1
When T1 is the time constant at t=0 when the swith is closed
and T2 is the time constant afyer closing the switch.
Answer from the book is T2/T1 = 2
Table 3.1
Time, t (s)
Position, x (m)
tn/t1
Time Squared, t^2 (s^2)
(tn)^2/(t1)^2
xn/x1
t1, 0.40
x1, 0.25
1.0
.16
1
1
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x2, 0.36
2.0
.64
4
1.4
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x3, 0.52
3.0
1.4
9
2.1
t4, 1.6
x4, 0.71
4.0
2.6
16
2.8
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5.0
4.0
25
3.8
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36
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