Prove that torque vector is equal to the cross product of position vector r and applied force F??
Answers
Answer:
T = F * r * sin(theta)
T = torque
F = linear force
r = distance measured from the axis of rotation to where the linear force is applied
theta = the angle between F and r
In our equation, sin(theta) has no units, r has units of meters (m), and F has units of Newtons (N). Combining these together, we see that a unit of torque is a Newton-meter (Nm).
Finally, theta is needed to take into account the direction from which the linear force is being applied. The force will not always be pushed from straight on like a door. It can come from many different angles.
Why torque is given as r cross F and not as F cross r? Torque is a measure of how much a force acting on an object causes that object to rotate. ... Note that this distance, 'r', is also a vector, and points from the axis of rotation to the point where the force acts.
The sine function indicates that it is a pseudovector. Torque vector is perpendicular to the force and radius plane. It shouldnt be confused with the dot product of force and radius, which is the equation for work.