Question
The students in Mrs. Peterson's class each designed a simple electric motor using a permanent magnet and an electromagnet made up of a coil of wire wrapped around an iron core. Each motor was connected to the same voltage source, and the number of turns the motor made in 5 seconds was counted. The table below describes each student's motor.
Electric Motor Designs
Student Name Number of Turns
in Electromagnet's
Wire Coil Material of Wire Coil Thickness of Wire Used in Coil Rate at Which the Motor Spins
Lupe 15 copper 0.4 mm 17 turns in
5 seconds
Sanjay 5 aluminum 0.4 mm 4 turns in
5 seconds
Oliver 5 copper 1.2 mm 21 turns in
5 seconds
Rebekah 15 aluminum 1.2 mm 11 turns in
5 seconds
Felipe 15 aluminum 0.4 mm 7 turns in
5 seconds
Based on the data collected, the students are going to design a new motor that incorporates the best parts of each individual motor. Which of the following would most likely have the fastest rate of rotation?
A.
a motor made with 1.2 mm copper wire wrapped 15 times around the iron core
B.
a motor made with 0.4 mm copper wire wrapped 5 times around the iron core
C.
a motor made with 1.2 mm aluminum wire wrapped 5 times around the iron core
D.
a motor made with 0.4 mm aluminum wire wrapped 15 times around the iron core
Electric Motor Designs
Student Name Number of Turns
in Electromagnet's
Wire Coil Material of Wire Coil Thickness of Wire Used in Coil Rate at Which the Motor Spins
Lupe 15 copper 0.4 mm 17 turns in
5 seconds
Sanjay 5 aluminum 0.4 mm 4 turns in
5 seconds
Oliver 5 copper 1.2 mm 21 turns in
5 seconds
Rebekah 15 aluminum 1.2 mm 11 turns in
5 seconds
Felipe 15 aluminum 0.4 mm 7 turns in
5 seconds
Based on the data collected, the students are going to design a new motor that incorporates the best parts of each individual motor. Which of the following would most likely have the fastest rate of rotation?
A.
a motor made with 1.2 mm copper wire wrapped 15 times around the iron core
B.
a motor made with 0.4 mm copper wire wrapped 5 times around the iron core
C.
a motor made with 1.2 mm aluminum wire wrapped 5 times around the iron core
D.
a motor made with 0.4 mm aluminum wire wrapped 15 times around the iron core
Answers
GPT-4o mini
To determine which design would likely have the fastest rate of rotation, we can analyze the factors affecting motor speed based on the data provided and basic principles of electromagnetism.
1. **Number of Turns**: A higher number of turns in the coil typically produces a stronger magnetic field, which can increase the speed of the motor. Based on the data, more turns were generally associated with higher spin rates.
2. **Material of Wire**: Copper is a better conductor than aluminum, which means motors designed with copper wire should have a higher efficiency, resulting in faster rotation.
3. **Thickness of Wire**: Thicker wire (1.2 mm) has lower resistance and can carry more current; however, it can also lead to less dense coil packing, potentially reducing the number of turns. Thinner wire (0.4 mm) can allow for more turns but might result in higher resistance.
Now, evaluating each option:
A. **1.2 mm copper wire wrapped 15 times**: This has the advantage of using copper (good electrical conductivity) and a decent number of turns. However, thicker wire may reduce the density of the coil.
B. **0.4 mm copper wire wrapped 5 times**: While this uses copper wire, having only 5 turns is likely insufficient for achieving a high rotation speed.
C. **1.2 mm aluminum wire wrapped 5 times**: This option would not be ideal because aluminum is less efficient than copper and only has 5 turns.
D. **0.4 mm aluminum wire wrapped 15 times**: This design has a decent number of turns, but aluminum's lower conductivity compared to copper means it is likely to be less efficient.
Considering all this, the most favorable option is:
**A. a motor made with 1.2 mm copper wire wrapped 15 times around the iron core**
This option combines the benefits of copper's high conductivity with a relatively high number of turns, likely resulting in the fastest rate of rotation.
1. **Number of Turns**: A higher number of turns in the coil typically produces a stronger magnetic field, which can increase the speed of the motor. Based on the data, more turns were generally associated with higher spin rates.
2. **Material of Wire**: Copper is a better conductor than aluminum, which means motors designed with copper wire should have a higher efficiency, resulting in faster rotation.
3. **Thickness of Wire**: Thicker wire (1.2 mm) has lower resistance and can carry more current; however, it can also lead to less dense coil packing, potentially reducing the number of turns. Thinner wire (0.4 mm) can allow for more turns but might result in higher resistance.
Now, evaluating each option:
A. **1.2 mm copper wire wrapped 15 times**: This has the advantage of using copper (good electrical conductivity) and a decent number of turns. However, thicker wire may reduce the density of the coil.
B. **0.4 mm copper wire wrapped 5 times**: While this uses copper wire, having only 5 turns is likely insufficient for achieving a high rotation speed.
C. **1.2 mm aluminum wire wrapped 5 times**: This option would not be ideal because aluminum is less efficient than copper and only has 5 turns.
D. **0.4 mm aluminum wire wrapped 15 times**: This design has a decent number of turns, but aluminum's lower conductivity compared to copper means it is likely to be less efficient.
Considering all this, the most favorable option is:
**A. a motor made with 1.2 mm copper wire wrapped 15 times around the iron core**
This option combines the benefits of copper's high conductivity with a relatively high number of turns, likely resulting in the fastest rate of rotation.