Calculating Torque: How to Find Torque with Vector r, Acceleration a, and Mass m

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In summary, torque is a measure of rotational force and is important for understanding rotational motion. It is calculated by multiplying the distance from the axis of rotation by the force applied in a perpendicular direction. The units for torque are Newton-meters or foot-pounds. Torque can be negative if the force is applied in the opposite direction of the vector r. Mass does not directly affect torque, but a greater mass may require a greater force to produce the same torque.
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an object at vector r has acceleration vector a and mass m can u find torque About the origin by taking r cross (ma) sorry on cell phone
 
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At that instant, yes, that would be the torque of the net force acting on the object, about the origin, with net force in direction of acceleration.
 

1. What is torque and why is it important to calculate?

Torque is a measure of the rotational force applied to an object. It is important to calculate because it helps us understand how objects move and interact with each other, especially in situations involving rotation.

2. How do you calculate torque?

Torque is calculated by multiplying the distance from the axis of rotation (represented by a vector r) by the force applied in a perpendicular direction (represented by acceleration a). The formula for torque is T = r x a.

3. What are the units for torque?

The units for torque are Newton-meters (N*m) in the SI system and foot-pounds (ft*lb) in the imperial system.

4. Can torque be negative?

Yes, torque can be negative. This means that the force is applied in the opposite direction of the vector r, resulting in a clockwise rotation instead of a counterclockwise rotation.

5. How does mass affect torque?

Mass does not directly affect torque. However, a greater mass may require a greater force to produce the same torque, as stated in Newton's Second Law of Motion (F = ma). This means that an object with a greater mass may require more force to rotate at the same rate as an object with a smaller mass.

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