I have data accrued from a fan could you explain to me the concepts and show me how to calculate the horsepower and work done by the fan that data was composed of below in this table? Time (s) Run #1 Velocity, Blue (m/s) Run #1 0.05 0 0.1 0 0.15 0 0.2 0 0.25 0 0.3 0 0.35 4.04E-04 0.4 4.04E-04 0.45 0 0.5 -4.04E-04 0.55 -4.04E-04 0.6 0 0.65 0 0.7 4.04E-04 0.75 8.08E-04 0.8 4.04E-04 0.85 -4.04E-04 0.9 -8.08E-04 0.95 0 1 8.08E-04 1.05 4.04E-04 1.1 0 1.15 -4.04E-04 1.2 0 1.25 4.04E-04 1.3 0 1.35 0 1.4 -4.04E-04 1.45 0 1.5 4.04E-04 1.55 0 1.6 0 1.65 -4.04E-04 1.7 0 1.75 4.04E-04 1.8 0 1.85 0 1.9 -4.04E-04 1.95 0 2 4.04E-04 2.05 4.04E-04 2.1 4.04E-04 2.15 0 2.2 0 2.25 0 2.3 0 2.35 0 2.4 0 2.45 0 2.5 4.04E-04 2.55 8.08E-04 2.6 8.08E-04 2.65 8.08E-04 2.7 8.08E-04 2.75 8.08E-04 2.8 4.04E-04 2.85 0 2.9 0 2.95 0 3 0 3.05 0 3.1 0 3.15 0 3.2 0 3.25 0 3.3 0 3.35 0 3.4 0 3.45 0 3.5 0 3.55 0 3.6 0 3.65 0 3.7 0 3.75 0 3.8 0 3.85 0 3.9 0 3.95 0 4 0 4.05 0 4.1 0 4.15 0 4.2 0 4.25 0 4.3 0 4.35 0 4.4 0 4.45 0 4.5 0 4.55 0 4.6 0 4.65 0 4.7 0 4.75 0 4.8 0 4.85 0 4.9 0 4.95 0 5 0 5.05 0 5.1 0 5.15 0 5.2 0 5.25 0 5.3 0 5.35 0 5.4 0 5.45 0 5.5 0 5.55 0 5.6 0 5.65 0 5.7 8.08E-04 5.75 0.003 5.8 0.007 5.85 0.013 5.9 0.019 5.95 0.025 6 0.031 6.05 0.036 6.1 0.04 6.15 0.045 6.2 0.05 6.25 0.055 6.3 0.059 6.35 0.064 6.4 0.069 6.45 0.074 6.5 0.079 6.55 0.084 6.6 0.089 6.65 0.094 6.7 0.099 6.75 0.103 6.8 0.105 6.85 0.108 6.9 0.112 6.95 0.116 7 0.118 7.05 0.12 7.1 0.123 7.15 0.126 7.2 0.13 7.25 0.134 7.3 0.139 7.35 0.144 7.4 0.148 7.45 0.151 7.5 0.154 7.55 0.156 7.6 0.158 7.65 0.16 7.7 0.162 7.75 0.165 7.8 0.168 7.85 0.171 7.9 0.175 7.95 0.179 8 0.181 8.05 0.184 8.1 0.185 8.15 0.187 8.2 0.188 8.25 0.19 8.3 0.192 8.35 0.194 8.4 0.196 8.45 0.198 8.5 0.2 8.55 0.202 8.6 0.203 8.65 0.205 8.7 0.206 8.75 0.207 8.8 0.209 8.85 0.211 8.9 0.213 8.95 0.215 9 0.216

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

I have data accrued from a fan could you explain to me the concepts and show me how to calculate the horsepower and work done by the fan that data was composed of below in this table?

Time (s) Run #1	Velocity, Blue (m/s) Run #1
0.05	0
0.1	0
0.15	0
0.2	0
0.25	0
0.3	0
0.35	4.04E-04
0.4	4.04E-04
0.45	0
0.5	-4.04E-04
0.55	-4.04E-04
0.6	0
0.65	0
0.7	4.04E-04
0.75	8.08E-04
0.8	4.04E-04
0.85	-4.04E-04
0.9	-8.08E-04
0.95	0
1	8.08E-04
1.05	4.04E-04
1.1	0
1.15	-4.04E-04
1.2	0
1.25	4.04E-04
1.3	0
1.35	0
1.4	-4.04E-04
1.45	0
1.5	4.04E-04
1.55	0
1.6	0
1.65	-4.04E-04
1.7	0
1.75	4.04E-04
1.8	0
1.85	0
1.9	-4.04E-04
1.95	0
2	4.04E-04
2.05	4.04E-04
2.1	4.04E-04
2.15	0
2.2	0
2.25	0
2.3	0
2.35	0
2.4	0
2.45	0
2.5	4.04E-04
2.55	8.08E-04
2.6	8.08E-04
2.65	8.08E-04
2.7	8.08E-04
2.75	8.08E-04
2.8	4.04E-04
2.85	0
2.9	0
2.95	0
3	0
3.05	0
3.1	0
3.15	0
3.2	0
3.25	0
3.3	0
3.35	0
3.4	0
3.45	0
3.5	0
3.55	0
3.6	0
3.65	0
3.7	0
3.75	0
3.8	0
3.85	0
3.9	0
3.95	0
4	0
4.05	0
4.1	0
4.15	0
4.2	0
4.25	0
4.3	0
4.35	0
4.4	0
4.45	0
4.5	0
4.55	0
4.6	0
4.65	0
4.7	0
4.75	0
4.8	0
4.85	0
4.9	0
4.95	0
5	0
5.05	0
5.1	0
5.15	0
5.2	0
5.25	0
5.3	0
5.35	0
5.4	0
5.45	0
5.5	0
5.55	0
5.6	0
5.65	0
5.7	8.08E-04
5.75	0.003
5.8	0.007
5.85	0.013
5.9	0.019
5.95	0.025
6	0.031
6.05	0.036
6.1	0.04
6.15	0.045
6.2	0.05
6.25	0.055
6.3	0.059
6.35	0.064
6.4	0.069
6.45	0.074
6.5	0.079
6.55	0.084
6.6	0.089
6.65	0.094
6.7	0.099
6.75	0.103
6.8	0.105
6.85	0.108
6.9	0.112
6.95	0.116
7	0.118
7.05	0.12
7.1	0.123
7.15	0.126
7.2	0.13
7.25	0.134
7.3	0.139
7.35	0.144
7.4	0.148
7.45	0.151
7.5	0.154
7.55	0.156
7.6	0.158
7.65	0.16
7.7	0.162
7.75	0.165
7.8	0.168
7.85	0.171
7.9	0.175
7.95	0.179
8	0.181
8.05	0.184
8.1	0.185
8.15	0.187
8.2	0.188
8.25	0.19
8.3	0.192
8.35	0.194
8.4	0.196
8.45	0.198
8.5	0.2
8.55	0.202
8.6	0.203
8.65	0.205
8.7	0.206
8.75	0.207
8.8	0.209
8.85	0.211
8.9	0.213
8.95	0.215
9	0.216
9.05	0.218
9.1	0.219
9.15	0.22
9.2	0.221
9.25	0.221
9.3	0.221
9.35	0.222
9.4	0.224
9.45	0.226
9.5	0.227
9.55	0.226
9.6	0.224
9.65	0.223
9.7	0.223
9.75	0.223
9.8	0.223
9.85	0.223
9.9	0.223
9.95	0.221
10	0.218
10.05	0.215
10.1	0.213
10.15	0.211
10.2	0.211
10.25	0.211
10.3	0.211
10.35	0.211
10.4	0.211
10.45	0.209
10.5	0.207

Expert Solution

Step 1: General concepts and assumptions

The given data of the fan in the table consists of time and the air speed of the fan.

Assumptions:

Assume that the given velocity is the velocity of air from the fan.
All the power to the fan straightly goes into accelerating the air and doesn't account for losses or other forms of energy.
Air density = 1.2 kg/m³

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