Is Torque Relevant in Projectile Motion?

In summary, the conversation discusses the concept of torque and its association with rotational motion. The teacher presents a problem involving finding the torque acting on a projectile at its highest point, which is calculated using the horizontal displacement and the force of gravity. The confusion arises as torque is typically associated with rotational motion, but in this case, it is applied to a projectile's linear motion. The concept of angular momentum is also brought up, but it is clarified that it does not necessarily require rotational motion.
  • #1
Molar
45
19
In class our teacher shows a problem where he finds out the torque acting on a projectile at the highest point of its trajectory.
He calculates the horizontal displacement from the vertical axis to the highest point as "r "and multiplies with "mg" as "F".
Here I am a little confused. Isn't torque associated with rotational motion like "r" is the perpendicular distance from the rotational axis ? How we can treat a projectile motion as a rotatinal motion ?
 
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  • #2
Torque from what, relative to what?

From gravity, relative to the center of your coordinate system: well, that is true, but I don't see the relevance of that value as the projectile does not perform a typical rotation around this point.
 
  • #3
Thanks for replying...yes...he mentioned it, moment of the force 'mg'.
 
  • #4
Molar said:
Isn't torque associated with rotational motion
Not in general. Torque is the time derivate of angular momentum, which doesn't require rotational motion.
 
  • #5
A.T. said:
Torque is the time derivate of angular momentum, which doesn't require rotational motion.

Yes, torque = dL/dt ; L = angular momentum
But again angular momentum is connected to rotation of object . We do not find angular momentum of linear motion.
We define an axis of rotation and take the distance from it to measure L = r × mv
We also know L = I.ω ; I = moment of inertia , ω = angular velocity
So angular momentum is about rotational motion right ? Or where have I got it wrong ?
 
  • #6
Molar said:
We do not find angular momentum of linear motion.
Sure we do, for axes that do not cross the line of motion.
This is a pointless approach in most situations, but it is not wrong.
 
  • #7

What is torque and how does it relate to a projectile?

Torque is a measure of the force that causes an object to rotate around an axis. In the case of a projectile, torque is the force that causes it to spin or rotate as it moves through the air.

What factors affect the torque acting on a projectile?

The factors that affect the torque acting on a projectile include the force applied, the distance from the axis of rotation, and the angle at which the force is applied. Additionally, the mass and shape of the projectile can also impact the torque.

How does torque affect the trajectory of a projectile?

The torque acting on a projectile can affect its trajectory by causing it to spin or rotate, which can change its direction of motion. This can be especially significant for long-range projectiles, such as those used in sports like baseball or football.

Can torque be controlled or manipulated in a projectile's flight?

Yes, torque can be controlled or manipulated in a projectile's flight through various means such as applying a force at a specific angle or adjusting the projectile's shape or mass. This can be useful in fine-tuning the trajectory of a projectile.

How does air resistance affect the torque acting on a projectile?

Air resistance can impact the torque acting on a projectile by creating drag or friction that opposes the projectile's motion. This can cause the projectile to spin or rotate in a different direction than intended, ultimately affecting its trajectory.

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