Torque and Rotational Kinetic Energy Relationship

In summary, it is not possible to calculate the Kinetic Energy or Rotational Kinetic Energy of an object with just the given information of Power (kW), Torque (Nm), and Speed (RPM). Additionally, Power is a measure of energy transfer and does not directly indicate the amount of energy or angular momentum an object contains. However, it is possible to calculate power from torque and speed, and given any two of the three values, the third can be calculated.
  • #1
alichoudhry57
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I am wondering if it is possible to calculate either the Kinetic Energy or Rotational Kinetic Energy of an object if we have the Power (kW), Torque (Nm), and Speed (RPM) of the object.
 
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  • #2
alichoudhry57 said:
I am wondering if it is possible to calculate either the Kinetic Energy or Rotational Kinetic Energy of an object if we have the Power (kW), Torque (Nm), and Speed (RPM) of the object.
Depends, but probably not. Do we have a continuous function for those? Is there any more info you can provide on your scenario?
 
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  • #3
alichoudhry57 said:
I am wondering if it is possible to calculate either the Kinetic Energy or Rotational Kinetic Energy of an object if we have the Power (kW), Torque (Nm), and Speed (RPM) of the object.
Welcome @alichoudhry57 !
Objects can’t have those by themselves, as power refers to a transfer of energy, you need at least another object or substance receiving that energy.
Therefore, could you please clarify your reference to that object?
 
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  • #4
alichoudhry57 said:
Power (kW), Torque (Nm), and Speed (RPM) of the object.
Power can be computed from torque and speed, so it is redundant.

Finding the kinetic energy requires knowing the speed, and the moment of inertia of the object.
https://en.wikipedia.org/wiki/Moment_of_inertia
 
  • #5
alichoudhry57 said:
I am wondering if it is possible to calculate either the Kinetic Energy or Rotational Kinetic Energy of an object if we have the Power (kW), Torque (Nm), and Speed (RPM) of the object.
Power tells you the rate at which energy is flowing through the object. It will not tell you how much energy or angular momentum the object contains. A drive shaft with an attached flywheel and a second drive shaft without can have the same power and torque passing through and can be rotating at the same rate. But the amount of kinetic energy and angular momentum that the two contain can be dramatically different.

If you have torque in Nm and rotation rate in RPM then you can get power in kilowatts. Indeed, given any two of the three, you can calculate the one you do not know.

For power, first convert RPM to radians per second (multiply by 0.104719755). Multiply torque in Nm by rotation rate in rad/s to get power in watts. Then divide by 1000 to get power in kilowatts.

Edit: scooped by @Baluncore on the power from torque and speed calculation.
 

FAQ: Torque and Rotational Kinetic Energy Relationship

What is the relationship between torque and rotational kinetic energy?

The relationship between torque and rotational kinetic energy is that torque is the force that causes an object to rotate, while rotational kinetic energy is the energy an object possesses due to its rotation. Torque is directly proportional to rotational kinetic energy, meaning that as torque increases, so does rotational kinetic energy.

How can torque be calculated?

Torque can be calculated by multiplying the force applied to an object by the distance from the axis of rotation to the point where the force is applied. The formula for torque is: torque = force x distance.

What is the unit of measurement for torque?

The unit of measurement for torque is Newton-meters (N·m) in the metric system, and foot-pounds (ft·lb) in the imperial system.

Can an object have rotational kinetic energy without torque?

No, an object cannot have rotational kinetic energy without torque. Torque is necessary to cause an object to rotate, and rotational kinetic energy is a result of that rotation. Without torque, an object would remain stationary and have no rotational kinetic energy.

How does the distribution of mass affect the relationship between torque and rotational kinetic energy?

The distribution of mass affects the relationship between torque and rotational kinetic energy in that the further the mass is from the axis of rotation, the greater the torque and rotational kinetic energy will be. This is because the distance from the axis of rotation is a factor in calculating torque, and therefore, rotational kinetic energy.

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