At tesla Model III electric car runs its electric motors on a 400 Volt circuit and each individual motor's maximum current consumption is 750 Amps. If the maximum mechanical output of each motor is 270 kWatt (270,000 watts) what is the efficiency of the motor?

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Chapter1: Units, Trigonometry. And Vectors
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**Educational Content Transcription:**

1) **Problem: Efficiency of an Electric Motor in a Tesla Model 3**
   - **Scenario:** A Tesla Model 3 electric car runs its electronic motors on a 400 Volt circuit and each individual motor's maximum current consumption is 750 Amps.
   - **Data:** The maximum mechanical output of each motor is 270 kW (270,000 watts).
   - **Question:** What is the efficiency of the motor?

2) **Problem: Electrostatic Force Between Particles**
   - **Scenario:** Two particles both have a positive charge of 3 coulombs each and present an electrostatic force between them of 100,000,000,000 N (100 x 10^9 Newtons).
   - **Questions:**
     - (a) What is the distance between them in meters?
     - (b) Are they repelling or attracting each other?

3) **Problem: Resistance Calculation for Aluminum and Copper Wires**
   - **(a) Aluminum Wire:**
     - **Scenario:** Calculate the resistance of an aluminum wire with a cross-sectional area of 10 mm² and a length of 2 meters. The resistivity of aluminum is 0.027 Ohm*mm²/m.
   - **(b) Copper Wire:**
     - **Scenario:** If the resistivity of copper is much lower, 0.0171 Ohm*mm²/m, how long would a wire of copper, with the same 10 mm² cross-sectional area, have to be to have the same resistance as the 2-meter long aluminum wire?

4) **Problem: Completing Sentences Related to Electronic Devices**
   - **Prompts to Complete:**
     - An electronic device measures ______________.
     - Reciprocating/Rotational movement is ideal for ______________ current.
     - A chemical reaction on a battery will produce ______________.
     - The higher the voltage on a power supply, the higher ______________ to induce the flow.
Transcribed Image Text:**Educational Content Transcription:** 1) **Problem: Efficiency of an Electric Motor in a Tesla Model 3** - **Scenario:** A Tesla Model 3 electric car runs its electronic motors on a 400 Volt circuit and each individual motor's maximum current consumption is 750 Amps. - **Data:** The maximum mechanical output of each motor is 270 kW (270,000 watts). - **Question:** What is the efficiency of the motor? 2) **Problem: Electrostatic Force Between Particles** - **Scenario:** Two particles both have a positive charge of 3 coulombs each and present an electrostatic force between them of 100,000,000,000 N (100 x 10^9 Newtons). - **Questions:** - (a) What is the distance between them in meters? - (b) Are they repelling or attracting each other? 3) **Problem: Resistance Calculation for Aluminum and Copper Wires** - **(a) Aluminum Wire:** - **Scenario:** Calculate the resistance of an aluminum wire with a cross-sectional area of 10 mm² and a length of 2 meters. The resistivity of aluminum is 0.027 Ohm*mm²/m. - **(b) Copper Wire:** - **Scenario:** If the resistivity of copper is much lower, 0.0171 Ohm*mm²/m, how long would a wire of copper, with the same 10 mm² cross-sectional area, have to be to have the same resistance as the 2-meter long aluminum wire? 4) **Problem: Completing Sentences Related to Electronic Devices** - **Prompts to Complete:** - An electronic device measures ______________. - Reciprocating/Rotational movement is ideal for ______________ current. - A chemical reaction on a battery will produce ______________. - The higher the voltage on a power supply, the higher ______________ to induce the flow.
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