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 tha 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 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-m?/s) B. Calculate the energy produced by the plant in 5.400 x 10 s of operation. Express the result in Yeager (Y). (1 J = 1 W-5 = 1 kg-m2/s?) (Note: Power %3D energy/time) C. How many households can be powered by the plant after 5.400 x 10 s of operation if each house consumes 1.50 x 10Y of energy?

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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 findings are summarized in
Tables 1 and 2.
To help the Paradisians advance technologically, people fron the outside are planning
to construct a power plant on the island. The plant produces an average of 875.9
gigawatts (GV) 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 5.400 x 10 s of operation.
Express the result in Yeager (Y). (1 J = 1 W-5 = 1 kg-m2/s2) (Note: Power
energy/time)
C. How many households can be powered by the plant after 5.400 x 10 sof
operation if each house consumes 1.50 x 10-Y of energy?
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 findings are summarized in Tables 1 and 2. To help the Paradisians advance technologically, people fron the outside are planning to construct a power plant on the island. The plant produces an average of 875.9 gigawatts (GV) 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 5.400 x 10 s of operation. Express the result in Yeager (Y). (1 J = 1 W-5 = 1 kg-m2/s2) (Note: Power energy/time) C. How many households can be powered by the plant after 5.400 x 10 sof operation if each house consumes 1.50 x 10-Y of energy?
Table 1. Fundamental Paradisian units.
Physical Quantity
Unit and Symbol
Conversion to ŚI Units
Length
Trost (T)
1T = 2.625 mn
Time
Stohess (H)
1H = 1.480 s
Mass
Orvud (O)
10 0.350 kg
Table 2. Paradisian derived units.
Physical
Quantity
Unit and
Symbol
Expanded
Form
Energy
Yeager (Y)
1Y-1
OT
Power
Arlert (R)
1 R-1
OT
Transcribed Image Text:Table 1. Fundamental Paradisian units. Physical Quantity Unit and Symbol Conversion to ŚI Units Length Trost (T) 1T = 2.625 mn Time Stohess (H) 1H = 1.480 s Mass Orvud (O) 10 0.350 kg Table 2. Paradisian derived units. Physical Quantity Unit and Symbol Expanded Form Energy Yeager (Y) 1Y-1 OT Power Arlert (R) 1 R-1 OT
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