Torque from a frame of reference

In summary, when defining torque from a frame of reference, it is necessary for the frame to be inertial. In an accelerating frame of reference, the equation ##\vec \tau = I\vec\alpha## is no longer valid, as demonstrated by the example of sitting in an accelerating car. In order to calculate torque in a non-inertial frame, a pseudo force must be taken into account.
  • #1
SDewan
32
1
Whenever we define torque from a frame of reference, is it necessary for the frame to be inertial?
Please explain because I am unclear on this.
 
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  • #2
Yes. In e.g. an accelerating frame of reference you no longer have ##\vec \tau = I\vec\alpha##.
Example: you sit in an accelerating car and have to lean forward to stay sitting upright. ##\alpha## of your head w.r.t. your hips is zero but you (or the backrest) do have to exercise a torque to stay with your head above your hips.
 
  • #3
In case of non inertial frame, a pseudo force should be taken and then we can proceed writing the torque. Right?
 
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What is torque from a frame of reference?

Torque from a frame of reference is a measure of the rotational force applied to an object, taking into account the reference point or axis of rotation.

How is torque from a frame of reference calculated?

Torque from a frame of reference is calculated by multiplying the force applied to an object by the distance from the reference point to the point where the force is applied.

How does the frame of reference affect torque?

The frame of reference can affect torque by changing the distance and direction from the reference point to the point where the force is applied, thus changing the magnitude and direction of the torque.

What is the difference between positive and negative torque from a frame of reference?

Positive torque from a frame of reference causes an object to rotate in a counterclockwise direction, while negative torque causes the object to rotate in a clockwise direction.

How is torque from a frame of reference used in real life?

Torque from a frame of reference is used in various applications such as engineering, mechanics, and physics to analyze and design rotational systems, including engines, gears, and levers.

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