Mrs. Peterson assigned the students in her class a project to design a simple electric motor. Each student had to use a permanent magnet and an electromagnet made up of a coil of wire wrapped around an iron core. To be successful, the motor had to spin at least 150 times per minute. After the students designed their motors, 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 DesignsStudent Name Number of Turnsin the Electromagnet'sWire Coil Material of the Wire Coil Thickness of the Wire Used in the Coil Rate at Which the Motor SpinsLupe 15 copper 0.4 mm 17 turns in5 secondsSanjay 5 aluminum 0.4 mm 4 turns in5 secondsOliver 5 copper 1.2 mm 21 turns in5 secondsRebekah 15 aluminum 1.2 mm 11 turns in5 secondsFelipe 15 aluminum 0.4 mm 7 turns in5 secondsWhich students met the criteria for success? A. Lupe, Oliver, Rebekah, and Felipe only B. Lupe, Oliver, and Rebekah only C. Lupe and Oliver only D. Lupe, Sanjay, Oliver, Rebekah, and Felipe
Question
Mrs. Peterson assigned the students in her class a project to design a simple electric motor. Each student had to use a permanent magnet and an electromagnet made up of a coil of wire wrapped around an iron core. To be successful, the motor had to spin at least 150 times per minute. After the students designed their motors, 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 DesignsStudent Name Number of Turnsin the Electromagnet'sWire Coil Material of the Wire Coil Thickness of the Wire Used in the Coil Rate at Which the Motor SpinsLupe 15 copper 0.4 mm 17 turns in5 secondsSanjay 5 aluminum 0.4 mm 4 turns in5 secondsOliver 5 copper 1.2 mm 21 turns in5 secondsRebekah 15 aluminum 1.2 mm 11 turns in5 secondsFelipe 15 aluminum 0.4 mm 7 turns in5 secondsWhich students met the criteria for success? A. Lupe, Oliver, Rebekah, and Felipe only B. Lupe, Oliver, and Rebekah only C. Lupe and Oliver only D. Lupe, Sanjay, Oliver, Rebekah, and Felipe
Solution
To determine which students met the criteria for success, we need to calculate the rate at which each student's motor spins per minute, not just 5 seconds.
The criteria for success is that the motor must spin at least 150 times per minute.
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Lupe's motor spins 17 turns in 5 seconds. To find out how many turns it makes in a minute, we multiply 17 by 12 (since there are 12 5-second intervals in a minute). So, Lupe's motor spins 204 times per minute.
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Sanjay's motor spins 4 turns in 5 seconds. Multiplying 4 by 12, we find that Sanjay's motor spins 48 times per minute.
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Oliver's motor spins 21 turns in 5 seconds. Multiplying 21 by 12, we find that Oliver's motor spins 252 times per minute.
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Rebekah's motor spins 11 turns in 5 seconds. Multiplying 11 by 12, we find that Rebekah's motor spins 132 times per minute.
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Felipe's motor spins 7 turns in 5 seconds. Multiplying 7 by 12, we find that Felipe's motor spins 84 times per minute.
So, the students who met the criteria for success (motor spins at least 150 times per minute) are Lupe and Oliver only. Therefore, the answer is C. Lupe and Oliver only.
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