disians advance technologically, people from the outside are planning to cons nd. The plant produces an average of 875.9 gigawatts (GW) of power. the average power rating of the plant in Arlert (R). (1 W = 1 kg-m²/s³) the energy produced by the plant in 5.400 x 104 s of operation. Express the 1 W-s = 1 kg-m2/s²) (Note: Power = energy/time) y households can be powered by the plant after 5.400 x 104 s of operation it s 1.50 x 1011 Y of energy? ental Paradisian units. ysical Quantity Unit and Symbol Conversion to SI

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Rules of Significant Figures and Dimensional Analysis
For centuries, the people of Paradis Island have been isolated from the rest of the world. The SI units are
unknown to them. Expeditions sent to the island revealed that they created their own system of units, and
some of their fındings are summarized in Tables 1 and 2.
To help the Paradisians advance technologically, people from the outside are planning to construct a power
plant on the island. The plant produces an average of 875.9 gigawatts (GW) of power.
A. Calculate the average power rating of the plant in Arlert (R). (1 W = 1 kg-m²/s³)
B. Calculate the energy produced by the plant in 5.400 x 104 s of operation. Express the result in Yeager
(Y). (1 J = 1 W-s = 1 kg-m2/s²) (Note: Power = energy/time)
C. How many households can be powered by the plant after 5.400 x 104 s of operation if each house
consumes 1.50 x 1011 Y of energy?
Table 1. Fundamental Paradisian units.
Physical Quantity
Unit and Symbol
Conversion to SI Units
Length
Trost (T)
|1T = 2.625 m
Time
Stohess (H)
1 H = 1.480 s
Mass
Orvud (O)
10 = 0.350 kg
Table 2. Paradisian derived units.
Physical Quantity Unit and Symbol Expanded Form
Yeager (Y)
1 Y=1 Q-T²
H2
Energy
Power
Arlert (R)
|1 R=1 Q-T?
Transcribed Image Text:Rules of Significant Figures and Dimensional Analysis For centuries, the people of Paradis Island have been isolated from the rest of the world. The SI units are unknown to them. Expeditions sent to the island revealed that they created their own system of units, and some of their fındings are summarized in Tables 1 and 2. To help the Paradisians advance technologically, people from the outside are planning to construct a power plant on the island. The plant produces an average of 875.9 gigawatts (GW) of power. A. Calculate the average power rating of the plant in Arlert (R). (1 W = 1 kg-m²/s³) B. Calculate the energy produced by the plant in 5.400 x 104 s of operation. Express the result in Yeager (Y). (1 J = 1 W-s = 1 kg-m2/s²) (Note: Power = energy/time) C. How many households can be powered by the plant after 5.400 x 104 s of operation if each house consumes 1.50 x 1011 Y of energy? Table 1. Fundamental Paradisian units. Physical Quantity Unit and Symbol Conversion to SI Units Length Trost (T) |1T = 2.625 m Time Stohess (H) 1 H = 1.480 s Mass Orvud (O) 10 = 0.350 kg Table 2. Paradisian derived units. Physical Quantity Unit and Symbol Expanded Form Yeager (Y) 1 Y=1 Q-T² H2 Energy Power Arlert (R) |1 R=1 Q-T?
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