Chapter 5 | Integration
577
234. The average residential electrical power use (in hundreds of watts) per hour is given in the following table. Hour Power Hour Power
235. The data in the following table are used to estimate the average power output produced by Peter Sagan for each of the last 18 sec of Stage 1 of the 2012 Tour de France. Second Watts Second Watts
1
8
13
12
1
600
10
1200
2
6
14
13
2
500
11
1170
3
5
15
14
3
575
12
1125
4
4
16
15
4
1050
13
1100
5
5
17
17
5
925
14
1075
6
6
18
19
6
950
15
1000
7
7
19
18
7
1050
16
950
8
8
20
17
8
950
17
900
9
9
21
16
9
1100
18
780
10
10
22
16
Table 5.6 Average Power Output Source : sportsexercisengineering.com
11
10
23
13
Estimate the net energy used in kilojoules (kJ), noting that 1W = 1 J/s, and the average power output by Sagan during this time interval.
12
11
24
11
a. Compute the average total energy used in a day in kilowatt-hours (kWh). b. If a ton of coal generates 1842 kWh, how long does it take for an average residence to burn a ton of coal? c. Explain why the data might fit a plot of the form p ( t ) = 11.5 − 7.5sin ⎛ ⎝ πt 12 ⎞ ⎠ .
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