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 findings are summarized in Tables 1 and 2. To help the Paradisians advance technologically, people from the outside are planni to construct a power plant on the island. The plant produces an average of 981.4 gigawatts (GW) of power. A. Calculate the average power rating of the plant in Arlert (R). (1 W = 1 kg-m?/s) B. Calculate the energy produced by the plant in 4.320 x 10 s of operation. Express the result in Yeager (Y). (1 J = 1 W-s = 1 kg-m2/s?) (Note: Power = energy/time) C. How many households can be powered by the plant after 4.320 x 10* 5 of operation if each house consumes 1.50 x 1011 Y of energy? !! %3D Table 1. Fundamental Paradisian units. Physical Quantity Unit and Symbol Conversion to SI Units Length Trost (T) 1T-2.731 m Time Stohess (H) 1H 1,502 s

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Table 2. Paradisian derived umits.
Physical
Quantity
Unit and
Expanded
Formi
Symbol
Energy
Yeager (Y)
1Y-1
Power
Arlert (R)
1 R-1
Transcribed Image Text:Table 2. Paradisian derived umits. Physical Quantity Unit and Expanded Formi Symbol Energy Yeager (Y) 1Y-1 Power Arlert (R) 1 R-1
Rules of Significant Figures and Dimensional Analysis
For centuries, the people of Paradis Island have been isolated from the rest o the
world. The SI units are unknown to them. Expeditions sent to the island revesled tha
they created their own system of units, and some of their findings are sum marized in
Tables 1 and 2.
To help the Paradisians advance technologically, people from the outside are plannir
to construct a power plant on the island. The plant produces an average of 981.4
gigawatts (GW) of power.
A. Calculate the average power rating of the plant in Arlert (R). (1 W = 1 kg-m?/s°)
B. Calculate the energy produced by the plant in 4.320 x 104 s of operation.
Express the result in Yeager (Y). (1 J = 1 W.s = 1 kg-m?/s?) (Note: Power =
energy/time)
C. How many households can be powered by the plant after 4.320 x 10 5 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- 2.731 m
Time
Stohess (H)
1H= 1,502 s
Mass
Orvud (O)
10-0.253 kg
Transcribed Image Text:Rules of Significant Figures and Dimensional Analysis For centuries, the people of Paradis Island have been isolated from the rest o the world. The SI units are unknown to them. Expeditions sent to the island revesled tha they created their own system of units, and some of their findings are sum marized in Tables 1 and 2. To help the Paradisians advance technologically, people from the outside are plannir to construct a power plant on the island. The plant produces an average of 981.4 gigawatts (GW) of power. A. Calculate the average power rating of the plant in Arlert (R). (1 W = 1 kg-m?/s°) B. Calculate the energy produced by the plant in 4.320 x 104 s of operation. Express the result in Yeager (Y). (1 J = 1 W.s = 1 kg-m?/s?) (Note: Power = energy/time) C. How many households can be powered by the plant after 4.320 x 10 5 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- 2.731 m Time Stohess (H) 1H= 1,502 s Mass Orvud (O) 10-0.253 kg
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