The electronic throttle control of a model train is programmed so that the train speed varies with position as shown in the plot. Determine the time t required for the train to complete one lap. [Answer: 50.8s] 1m 1 m 2 m 0.250 0.125 2 2+5 2+1 4+n 2+ 4+2n Distance s, m Speed v, m/s

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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The electronic throttle control of a model train is programmed so that the train speed
varies with position as shown in the plot. Determine the time t required for the train to
complete one lap.
[Answer: 50.8s]
1m
1 m
2 m
0.250
0.125E--+
3n
2 2+ 2+n
4+T 2+ 4+2π
Distance s, m
Speed v, m/s
Transcribed Image Text:The electronic throttle control of a model train is programmed so that the train speed varies with position as shown in the plot. Determine the time t required for the train to complete one lap. [Answer: 50.8s] 1m 1 m 2 m 0.250 0.125E--+ 3n 2 2+ 2+n 4+T 2+ 4+2π Distance s, m Speed v, m/s
Compute the time ty requirnd for z lap.
Temporarily, let U, be the straightaway sperdi
Vo be the straightaway Speedi
S, m
2.
2+ 21Y
2
Time t-2 to go from O to 2: t-2- To
For t2-3
%3D
: Note that
* --c (c= pas. cmst)
ニーC (C= pos. Comst.
ds
du
= - CU
So that a = U
t3
U IS
%3D
dt
Vo/2
-cSát -
* -ctz,- In ()
t in 2
:
ス-3
2-3
hikewise,
t3-4 č in 2
vo12
6.36
%3D
%3D
T/2
12.71
Lap time t = スt。
12.71
Vo
50.8 s
%3D
0.25
4.
Transcribed Image Text:Compute the time ty requirnd for z lap. Temporarily, let U, be the straightaway sperdi Vo be the straightaway Speedi S, m 2. 2+ 21Y 2 Time t-2 to go from O to 2: t-2- To For t2-3 %3D : Note that * --c (c= pas. cmst) ニーC (C= pos. Comst. ds du = - CU So that a = U t3 U IS %3D dt Vo/2 -cSát - * -ctz,- In () t in 2 : ス-3 2-3 hikewise, t3-4 č in 2 vo12 6.36 %3D %3D T/2 12.71 Lap time t = スt。 12.71 Vo 50.8 s %3D 0.25 4.
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