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EEEE Year 2 Progress Test (UNMC) (24-25)

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Which is representing the roll-pitch-yaw

transformation matrix?

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What is the matrix order arrangement to calculate the

rotation matrix,

R

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What is the definition of the Euler angles?

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Which is not true about the properties of rotation

matrix?

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A 415 V, 40 HP, 50 Hz, two-pole, Y-connected induction motor has the following impedances in ohms per phase referred to the stator circuit:

𝑅1 = 0.15 Ω

𝑋1 = 0.52 Ω

𝑅2 = 0.054 Ω

𝑋2 = 0.52 Ω

𝑋𝑚 = 15.0 Ω

The total rotational losses are 500 W and are assumed to be constant. For a rotor slip of 5.0 percent at the rated voltage and rated frequency, find the magnitude of the motor's stator line current.

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Non-salient synchronous generators have:

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Inherently synchronous motors:

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The effective resistance of a 2200 V, 50 Hz, 440 kVA, 1-phase alternator is 0.5 Ω. On short circuit, a field current of 40 A gives the full load current of 200 A. The electromotive force on open circuit with the same field excitation is 1160 V. Calculate the synchronous reactance and round it to 2 decimal places.
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Ali is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Ali must be one of them?

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The average life of a fridge compressor motor is 10 years, with a standard deviation of 2 years. If the manufacturer is willing to replace only 3% of the motor because of failures, how long a guarantee should the manufacturer offer?

Assume that the lives of the motors follow a normal distribution.

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