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------------------------------------------------ A Variable Reluctance stepping motor has 4 main poles which have been castellated to have 6 teeth each. If the rotor has 40 teeth, determine the following:

i. Step angle
ii. Resolution
iii. Number of steps required for the shaft to make 5 revolutions
iv. Shaft speed, if the stepping frequency is 3600 pps

i. The step angle is 15 degrees per step.
ii. The resolution is 15 degrees.
iii. The number of steps required for the shaft to make 5 revolutions is 120 steps.
iv. The shaft speed, if the stepping frequency is 3600 pps, is 86400 steps/second.

The Variable Reluctance stepping motor described in the question has 4 main poles, each of which is castellated to have 6 teeth. The rotor, on the other hand, has 40 teeth. We need to determine the step angle, resolution, number of steps required for the shaft to make 5 revolutions, and the shaft speed if the stepping frequency is 3600 pps.

i. Step angle:
To determine the step angle, we need to divide the total number of teeth on the rotor by the total number of poles. In this case, the rotor has 40 teeth and there are 4 main poles, each with 6 teeth. So, the total number of teeth on the stator is 4 poles * 6 teeth = 24 teeth. Therefore, the step angle can be calculated as follows:
Step angle = (360 degrees) / (total number of teeth) = (360 degrees) / (24 teeth) = 15 degrees per step.

ii. Resolution:
The resolution of a stepping motor is defined as the smallest angle that the shaft can rotate. In this case, since the step angle is 15 degrees per step, the resolution of the motor is 15 degrees.

iii. Number of steps required for 5 revolutions:
To determine the number of steps required for the shaft to make 5 revolutions, we need to know the total number of steps in one revolution. In this case, one revolution is equal to the number of steps required to cover 360 degrees, which is 360 degrees / 15 degrees per step = 24 steps. Therefore, for 5 revolutions, the number of steps required would be 5 revolutions * 24 steps/revolution = 120 steps.

iv. Shaft speed:
To determine the shaft speed, we need to know the stepping frequency and the number of steps per revolution. The stepping frequency is given as 3600 pps (pulses per second) and we already calculated that there are 24 steps per revolution. Therefore, the shaft speed can be calculated as follows:
Shaft speed = (stepping frequency) * (number of steps per revolution) = 3600 pps * 24 steps/revolution = 86400 steps/second.

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