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Directions: Follow the directions and fill in all of the bright yellow (required). The green cells will take care of themselves. Blue is optional. The "stats" should automatically populate, except for the frame length (which you enter) and the actual acceleration distance and velocity.Car Stats
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Rubber Band Car Analysis and PredictionsDrive wheel radius (m)Other wheel radius (m)Overall Mass (kg)Band Stretch Distance (m)Frame length (m)Maximum Rubber Band Tension (N)Motor Input Energy (J)Overall Estimated Efficiency (%)Predicted Acceleration Distance (m)Predicted Maximum Velocity (m/s)Actual Acceleration distance (m)Actual Max Velocity (m/s)Sum of fractional errorsOverall Contest Score
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Problem #Quantity measuredValueProblem #Quantity measuredValue#DIV/0!#DIV/0!#DIV/0!0#DIV/0!#DIV/0!#DIV/0!
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1Max Static Friction (N)10Drive/Rear Axle Friction Torque (Nm)#DIV/0!
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Angular displacement of drive axle during accel (rad)0
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Drive/Rear Axle Friction Energy Loss (J)#DIV/0!
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Front Axle Friction Torque (Nm)#DIV/0!
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3Drive wheel Radius (m)Linear distance traveled by car during acceleration (m)0
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Drive axle radius (m) -- default set at 0.004Front wheel radius (m)
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Max String Tension Without Slipping (N)#DIV/0!Angular displacement of front axle during accel (rad)#DIV/0!
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4Max Rubber Band Tension (N)Front Axle Friction Energy Loss (J)#DIV/0!
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Stretch distance (m)Sum of Front and Back Energy Losses to Friction (J)#DIV/0!
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5Additional energy loss due to friction, based on your intuition? (J)
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Drive axle radius (m)0.0076Total Energy Loss Due To Friction (J)#DIV/0!
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Angular displacement of drive wheels (rad)011Car Total Mass (kg)
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Linear distance traveled by car during acceleration (m)0Total Energy Provided By Motor (J)#DIV/0!
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6k (N/m)#DIV/0!Total Energy Lost To Friction (J)#DIV/0!
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Energy Input (J)#DIV/0!Total KE of Car after Acceleration (J)#DIV/0!
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7Drive/Rear Axle I (kgm^2)#DIV/0!
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Front Axle I (kgm^2)#DIV/0!
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Motor output Energy -- based on the numbers above or your own method (J)#DIV/0!Drive Wheel Radius (m)
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8Efficiency (%) Enter as a whole number. Default is 80%.80%Front wheel radius (m)
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9Use your wheel and axle moment of inertia spreadsheet and use the data in steps 10 and 11.Max Car Velocity (m/s)#DIV/0!
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Rear Wheel and Axle Calculator for Frictional Torque and Moment of InertiaFront Wheel and Axle Calculator for Frictional Torque and Moment of Inertia
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Item to measure or calculateFormula Performing Calculation
No units here!!!
Item to measure or calculateFormula Performing Calculation
No units here!!!
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Axle Radius (m) -- default is 0.004Axle Radius (m) -- default is 0.004
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Mass of falling weight (kg)Mass of falling weight (kg)
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Wrapped String length (m)Wrapped String length (m)
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Acceleration time (s)Acceleration time (s)
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Deceleration time (s)Deceleration time (s)
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Falling Weight acceleration during string pull -- absolute value (m/s/s)#DIV/0!Falling Weight acceleration during string pull -- absolute value (m/s/s)#DIV/0!
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Wheel and axle angular acceleration during string pull -- absolute value (rad/s/s)#DIV/0!Wheel and axle angular acceleration during string pull -- absolute value (rad/s/s)#DIV/0!
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String tension during string pull (N)#DIV/0!String tension during string pull (N)#DIV/0!
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Torque applied by string during fall -- absolute value (Nm)#DIV/0!Torque applied by string during fall -- absolute value (Nm)#DIV/0!
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Max angular speed of wheel and axle (rad/s)#DIV/0!Max angular speed of wheel and axle (rad/s)#DIV/0!
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Angular acceleration of wheel and axle during slowing period -- absolute value (rad/s/s)#DIV/0!Angular acceleration of wheel and axle during slowing period -- absolute value (rad/s/s)#DIV/0!
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Rear Wheel and Axle Moment of Inertia (kgm^2)#DIV/0!Front Wheel and Axle Moment of Inertia (kgm^2)#DIV/0!
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Torque due to friction -- absolute value (Nm)#DIV/0!Torque due to friction -- absolute value (Nm)#DIV/0!
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