An electric motor consumes 12.0kJ of electrical energy in 1.00min . If one-third of this energy goes into heat and othe…
The following solution is suggested to handle the subject “An electric motor consumes 12.0kJ of electrical energy in 1.00min . If one-third of this energy goes into heat and othe…“. Let’s keep an eye on the content below!
Question “An electric motor consumes 12.0kJ of electrical energy in 1.00min . If one-third of this energy goes into heat and othe…”
An electric motor consumes 12.0kJ of electrical energy in
1.00min . If one-third of this energy goes into heat and other
forms of internal energy of the motor, with the rest going to the
motor output, how much torque will this engine develop if you run
it at 2500rpm ?
Answer
Power and torque are the concepts that will solve the question.
Calculate the percentage of power that appears to be the output of your motor. Convert the angular speed from rotations per hour to radians/minute. Then calculate the torque produced by the engine using the relationship between power, torque, and angular velocity.
The “rate at which you do work” is power.
Power is a term that refers to,
This is power. It is the work completed and the time taken.
Torque refers to the “twisting power that tends towards causing the rotation of an object”. An object’s angular velocity can be described as its rate of change in its angular position.
You can relate power, torque, and angular velocity to the object as follows:
Here is the power, the torque and the angular velocity.
One-third of total energy is converted into heat and other forms by the motor’s internal energy. The motor’s output is the only source of power. Only two-thirds of the total energy goes to it.
The total power produced is
Substitute
and
The motor output power is approximately two-thirds of the total power. It is provided by
indicates the power that was delivered to the motor.
Substitute HTMLMediaTag16 with .
The engine produces torque that is.
To find
, substitute
with
or
with
.
Ans:
is the torque produced by the engine.
Conclusion
Above is the solution for “An electric motor consumes 12.0kJ of electrical energy in 1.00min . If one-third of this energy goes into heat and othe…“. We hope that you find a good answer and gain the knowledge about this topic of science.