time t seconds is given by: Evaluate the followings: 1. 2. 3. operated using a synchronous machine. The voltage of operation at v(t) = 338 sin (90w,t +V Analytically find the voltage of the motor after 5 ms, if ws = 1500 rad/sec using standard form and up to 4 significant figures. Analytically find the first value of time at which V= 0 in seconds using standard form and up to 3 significant figures Analytically find the maximum voltage of the motor and the time at which it reaches it.

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Answer this question. Part (e).

d) The motor of the Car is operated using a synchronous machine. The voltage of operation at
time t seconds is given by:
v(t) = 338 sin (90w,t +) V
Evaluate the followings:
Analytically find the voltage of the motor after 5 ms if w, = 1500 rad/sec using
standard form and up to 4 significant figures.
Analytically find the first value of time at which V= 0 in seconds using standard form
and up to 3 significant figures
Analytically find the maximum voltage of the motor and the time at which it reaches
1.
2.
3.
it.
If a modification is made to the motor such that 6 = 90w,t +" is achieved by solving
the following equation: sin (0)? + 2 cos(0) += 0, find w, which satisfies this
4.
equation (in terms of t).
Plot 2 cycles of the voltage using w, = 750 rad/sec and verify the previous parts on
the graph? Comment on your results.
5.
e) If the voltage of the motor is given kLi
v(t) = 338 sinh (90w,t +)..
Provide fully explained solutions to the following:
The value of the voltage when t = 1 ms given that w, is 1500 rad/sec to 3 significant
figures
The value of t when V = 117 V to 3 significant figures
Provide fully explained graphical evidence to justify your answers to part (2)
If a modification is made to the mptor such that 0 = 90w̟t +" is achievied by solving
the following equation: 2 sinh(0) + 6 cosh (0) – 8 = 0, find t which satisfies this
equation (w, is still equal to 1500 rad/sec).
1.
2.
3.
4.
Transcribed Image Text:d) The motor of the Car is operated using a synchronous machine. The voltage of operation at time t seconds is given by: v(t) = 338 sin (90w,t +) V Evaluate the followings: Analytically find the voltage of the motor after 5 ms if w, = 1500 rad/sec using standard form and up to 4 significant figures. Analytically find the first value of time at which V= 0 in seconds using standard form and up to 3 significant figures Analytically find the maximum voltage of the motor and the time at which it reaches 1. 2. 3. it. If a modification is made to the motor such that 6 = 90w,t +" is achieved by solving the following equation: sin (0)? + 2 cos(0) += 0, find w, which satisfies this 4. equation (in terms of t). Plot 2 cycles of the voltage using w, = 750 rad/sec and verify the previous parts on the graph? Comment on your results. 5. e) If the voltage of the motor is given kLi v(t) = 338 sinh (90w,t +).. Provide fully explained solutions to the following: The value of the voltage when t = 1 ms given that w, is 1500 rad/sec to 3 significant figures The value of t when V = 117 V to 3 significant figures Provide fully explained graphical evidence to justify your answers to part (2) If a modification is made to the mptor such that 0 = 90w̟t +" is achievied by solving the following equation: 2 sinh(0) + 6 cosh (0) – 8 = 0, find t which satisfies this equation (w, is still equal to 1500 rad/sec). 1. 2. 3. 4.
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