HW3. A DC motor is driven by a voltage source Vs through a resistor of R = 5 Q. The rotor of the motor comprises ten wire turns, all of which are rectangles with the length of 45 cm and the width of 20 cm. The magnetic flux density B exerted on the rotor is assumed to be a constant of 50 mT. Although the torque that B imposes on the rotor varies with the angle 0 between the rotor and B, for simplicity, a constant equivalent torque is considered which is assumed to be 80% of the peak torque value. This equivalent torque balances the mechanical load torque, giving a constant speed n of the rotor. In the beginning, I = 6 A, n = 2000 rpm and 0o=30°. The energy-conversion efficiency of the motor is 90%. After running for some time, the mechanical load torque Tm is first increased by 40%, i.e., TMnewl = 1.4Tm. After reaching the new steady state operation (i.e., the equivalent torque balances the mechanical load torque), the mechanical load torque is then decreased by 40%, i.e., TMnew2 = 0.6TMnewl. What would the value of n be after the two changes of the load torque? Assume that the voltage across the motor is VM = kv@, where kv is a constant. Choose the value that is closest to the answer. -20 cm N Vm R Vs А. 850 гpm В. 2000 грm С. 3146 гpm D. 4528 грm E. None of the above. -45 cm-
HW3. A DC motor is driven by a voltage source Vs through a resistor of R = 5 Q. The rotor of the motor comprises ten wire turns, all of which are rectangles with the length of 45 cm and the width of 20 cm. The magnetic flux density B exerted on the rotor is assumed to be a constant of 50 mT. Although the torque that B imposes on the rotor varies with the angle 0 between the rotor and B, for simplicity, a constant equivalent torque is considered which is assumed to be 80% of the peak torque value. This equivalent torque balances the mechanical load torque, giving a constant speed n of the rotor. In the beginning, I = 6 A, n = 2000 rpm and 0o=30°. The energy-conversion efficiency of the motor is 90%. After running for some time, the mechanical load torque Tm is first increased by 40%, i.e., TMnewl = 1.4Tm. After reaching the new steady state operation (i.e., the equivalent torque balances the mechanical load torque), the mechanical load torque is then decreased by 40%, i.e., TMnew2 = 0.6TMnewl. What would the value of n be after the two changes of the load torque? Assume that the voltage across the motor is VM = kv@, where kv is a constant. Choose the value that is closest to the answer. -20 cm N Vm R Vs А. 850 гpm В. 2000 грm С. 3146 гpm D. 4528 грm E. None of the above. -45 cm-
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![HW3. A DC motor is driven by a voltage source Vs through a resistor of R = 5 N. The rotor of the
motor comprises ten wire turns, all of which are rectangles with the length of 45 cm and the
width of 20 cm. The magnetic flux density B exerted on the rotor is assumed to be a constant
of 50 mT. Although the torque that B imposes on the rotor varies with the angle 0 between the
rotor and B, for simplicity, a constant equivalent torque is considered which is assumed to be
80% of the peak torque value. This equivalent torque balances the mechanical load torque,
giving a constant speed n of the rotor. In the beginning, I = 6 A, n = 2000 rpm and 00=30°.
The energy-conversion efficiency of the motor is 90%. After running for some time, the
mechanical load torque Tm is first increased by 40%, i.e., TMnewl = 1.4TM- After reaching the
new steady state operation (i.e., the equivalent torque balances the mechanical load torque),
the mechanical load torque is then decreased by 40%, i.e., TMnew2 = 0.67Mnewl -
What would the value of n be after the two changes of the load torque? Assume that the voltage
across the motor is VM = kv@, where kv is a constant. Choose the value that is closest to the
answer.
N
S
+
VM
Vs
А. 850 гpm
В. 2000 гpm
С. 3146 грm
D. 4528 грm
E. None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb93ed8ed-e3ac-4f07-86fb-4b95b52b1537%2F752fd260-82ea-4f00-894c-262355a464e6%2F5pulko_processed.png&w=3840&q=75)
Transcribed Image Text:HW3. A DC motor is driven by a voltage source Vs through a resistor of R = 5 N. The rotor of the
motor comprises ten wire turns, all of which are rectangles with the length of 45 cm and the
width of 20 cm. The magnetic flux density B exerted on the rotor is assumed to be a constant
of 50 mT. Although the torque that B imposes on the rotor varies with the angle 0 between the
rotor and B, for simplicity, a constant equivalent torque is considered which is assumed to be
80% of the peak torque value. This equivalent torque balances the mechanical load torque,
giving a constant speed n of the rotor. In the beginning, I = 6 A, n = 2000 rpm and 00=30°.
The energy-conversion efficiency of the motor is 90%. After running for some time, the
mechanical load torque Tm is first increased by 40%, i.e., TMnewl = 1.4TM- After reaching the
new steady state operation (i.e., the equivalent torque balances the mechanical load torque),
the mechanical load torque is then decreased by 40%, i.e., TMnew2 = 0.67Mnewl -
What would the value of n be after the two changes of the load torque? Assume that the voltage
across the motor is VM = kv@, where kv is a constant. Choose the value that is closest to the
answer.
N
S
+
VM
Vs
А. 850 гpm
В. 2000 гpm
С. 3146 грm
D. 4528 грm
E. None of the above.
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