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sganesh88
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why do we define the torque as FxR?(both in vectors) why does the same force applied to a body( say, a torque wrench) produce a smaller acceleration if applied at a point closer to the center of rotation?
Mathnphysics said:Well, FxR means the magnitude of F times the magnitude of R times the sin of the angle between them. So if a force is applied at a shorter radius from the axis of rotation, by definition the magnitude of R will be smaller and thus produce a smaller torque.
why does the same force applied to a body( say, a torque wrench) produce a smaller acceleration if applied at a point closer to the center of rotation?
Littlepig said:well, that is only the magnitude of torque!?, but the x cross product is far more than F.R.Sin(a)
FxR is cross product, my advice is to look at here:
http://en.wikipedia.org/wiki/Cross_product
why?!, well, we must give a meaning to the rotational force the same way me give to angular velocity and angular aceleration..
why do you say that? are you talking about angular aceleration?
sganesh88 said:@ all
i know the formula of torque. but in case of translational motion, the same force causes the same acceleration in bodies of same masses. but in case of rotational motion, the same force causes different angular accelerations in bodies of same moments of inertia depending on the distance of application from the rotational axis. (assuming same angle theta). can you explain this phenomenon in a more understandable way other than giving the formula? I'm not able to comprehend it.
Torque is a measure of the force that causes an object to rotate around an axis. It is calculated as the product of the force applied and the distance from the axis of rotation, which is often referred to as the radius.
Increasing the radius will result in an increase in torque, as the distance from the axis of rotation is greater and therefore more force is applied. Similarly, decreasing the radius will result in a decrease in torque.
No, torque and force are different concepts. While force is a measure of the push or pull on an object, torque is a measure of the rotational force applied to an object.
Yes, torque can be negative. This indicates that the force is in the opposite direction of the rotation, resulting in a decrease in rotational speed.
The direction of the force will determine the direction of the torque. If the force is applied in a clockwise direction, the torque will be clockwise, and if the force is applied in a counterclockwise direction, the torque will be counterclockwise.