That's not quite right, and neither is the problem statement very clear. if T=rFsintheta, then you need to know theta in order to solve for r, where r is the length of the lever arm, unless one assumes that the force is applied perendicular to the arm. Is theta given in the problem?kelly_kelly said:The answers are in the formulas you've posted. If lever arm = r sin theta, and torque = force * r sin theta, then torque = force * lever arm. Since you know torque and force, you can solve for lever arm.
PhanthomJay said:That's not quite right, and neither is the problem statement very clear. if T=rFsintheta, then you need to know theta in order to solve for r, where r is the length of the lever arm, unless one assumes that the force is applied perendicular to the arm. Is theta given in the problem?
I looked up the definition of 'lever arm' on several web sites, and discovered that some call it the length of the position vector between the point of application of the load and the axis of rotation (Wiki) while others call it the perpendicular distance from the line of action of the force to the axis of rotation. I tend not to trust Wiki most of the time (they take a simple topic and make it as complex as is humanly possible), so let's go with the latter. In which case the lever arm is __________(fill in the blank).DeeAussie said:Everything I listed was what was given so I guess you do have to assume perpendicular?
A lever arm, also known as a moment arm, is the perpendicular distance from the axis of rotation to the line of action of the force.
Torque is directly proportional to the lever arm. The longer the lever arm, the greater the torque.
Yes, the longer the lever arm, the less force is needed to produce the same amount of torque. This is because the torque equation is torque = force x lever arm, so a longer lever arm will result in a smaller force needed for the same amount of torque.
The lever arm is measured as the shortest distance from the axis of rotation to the line of action of the force. It is typically measured in meters (m) or centimeters (cm).
Knowing the length of the lever arm is important in understanding the principles of torque and how it affects mechanical systems. It is also crucial in designing and analyzing machines and structures to ensure they can withstand the forces and torques acting upon them.