A three-phase, 60 Hz, synchronous wound rotor machine acting as generator is observed to have a terminal voltage of 460 Vrms and
a magintude terminal current of 140 Arms at a power factor of 0.88 lagging. The field current under this operation is 50 A. The synchronous reactance is 1.0 and you can assume the armature resistance to be negligible. Analytically find:
(a) 10pts. The internal voltage of the machine
(b) 10pts. The magnitude of the field-to-armature mutual inductance.
(c) 10pts. The electrical power output in both kW and HP.
(d) 5pts. Draw the phasor diagram of the internal voltage, the machine line voltage drop, and the terminal voltage of the machine.
(e) 5pts. What is the electrical phase angle difference value between the magnetic axis of Or and Ff?
(a) 10pts. The internal voltage of the machine
(b) 10pts. The magnitude of the field-to-armature mutual inductance.
(c) 10pts. The electrical power output in both kW and HP.
(d) 5pts. Draw the phasor diagram of the internal voltage, the machine line voltage drop, and the terminal voltage of the machine.
(e) 5pts. What is the electrical phase angle difference value between the magnetic axis of Or and Ff?
1 answer:
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Answer:
Explanation:
Given
--- Initial altitude
-- Altitude after 16.5 seconds
--- Acceleration (It is negative because it is an upward movement i.e. against gravity)
Solving (a): Final Speed of the rocket
To do this, we make use of:
The final altitude after 16.5 seconds is represented as:
Substitute the following values:
and
So, we have:
Collect Like Terms
Make u the subject
Solving (b): The maximum height attained
First, we calculate the time taken to attain the maximum height.
Using:
At the maximum height:
--- The final velocity
So, we have:
Collect Like Terms
Make t the subject
The maximum height is then calculated as:
This gives:
Hence, the maximum height is 1141.07ft