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Why is torque a cross product?

Why is torque a cross product?

Torque is the cross product between Force and the distance vector (T = r * F * sin (Theta)). Thus the angle between the Force vector and the distance vector is also accounted for. When we open a door, we apply a Force which is 90 degrees to the distance vector.

Why does torque depend on where the force is applied?

A torque is a force applied to a point on an object about the axis of rotation. The size of a torque depends on (1) the size of the force applied and (2) its perpendicular distance from the axis of rotation (which depends both on the direction of the force plus its physical distance from the axis of rotation).

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What is the moment of force How is it related to torque?

The product of the force and the perpendicular distance to the center of gravity for an unconfined object, or to the pivot for a confined object, is^M called the torque or the moment. A torque is also a vector quantity and produces a rotation in the same way that a force produces a translation.

What is torque explain the torque acting on a particle?

Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration. The direction of the torque vector depends on the direction of the force on the axis.

Why does torque depend on distance?

Torque is force times distance, so the more distance, the less force needed to achieve the same torque.

Why does torque occur?

What force causes torque?

Definition and relation to angular momentum A particle is located at position r relative to its axis of rotation. When a force F is applied to the particle, only the perpendicular component F⊥ produces a torque.

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What is the relation between torque and angular velocity?

The instantaneous power of an angularly accelerating body is the torque times the angular velocity: P=τω P = τ ω . There is a close relationship between the result for rotational energy and the energy held by linear (or translational) motion.

Is torque always perpendicular to force?

Strictly speaking, torque is a vector quantity, which is always perpendicular to both radius and force; but for now, we’ll describe torques by the direction they tend to rotate the object in question: clockwise or counter-clockwise. …

Why does torque point out?

Because that force is perpendicular to the direction towards the rotation-centre. Not to the turning direction. The bolt does indeed turn in the same way as the force pulls it. When you define a torque vector direction, you have a problem.

What is torque and why is it important?

What is Torque? Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics. Similarly, torque is what causes an angular acceleration.

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How do you find torque from force and distance?

Another way of expressing the above equation is that torque is the product of the magnitude of the force and the perpendicular distance from the force to the axis of rotation (i.e. the pivot point). Let the force acting on an object be broken up into its tangential ( F t a n) and radial ( F r a d) components (see Figure 2).

Which Formula maximizes the torque you exert?

This maximizes the torque you exert. The magnitude of the torque depends on the force, the direction of the force, and where the force is applied. τ = r × F

What is the difference between moment and torque?

Torque is a special case of Moment, such that it relates to the axis of the rotation driving the rotation. Whereas moment relates to being driven by an external force to cause the rotation. Is torque energy? No, torque is not an energy. How does torque differ from force? Torque is a counterpart of force in rotational mechanics.