The power supplied by a torque, ?, to rotate an object atangular frequency, ?, is P = ??. Acommon car engine produces ? = 3000Nm at ? = 3000 RPM (rotations per minute). Suppose youwant to create an electric car that runs on a battery and electricmotor. Typically, electric car motors utilize a current of 100A andhave a cross sectional area of 0.5m2. Suppose also thatthe number of wire turns in the coil of the motor is N =100.
Q1: How strong of a magneticfield is required to produce the same torque as a regular carengine?
When the motor is connected inseries with the battery that powers it, we can treat it like ageneric circuit element with effective resistance R that causes avoltage drop V = IR. By setting the electrical power consumed bythe motor equal to the mechanical power used to push the car, P= ??, the effectiveresistance of the motor can be determined.
Q2: What is the effectiveresistance of the motor?
Q3: Determine the voltage of thebattery?
Please show all work, I will ratehigh.
