GK
PHYSICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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It will increase by a factor of eight.
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It will decrease by a factor of eight.
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It will be reduced to 1/2 its original value
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It will be increased by 1/2 its original value.
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Detailed explanation-1: -Doubling the arm length doubles the torque you apply to the arm for a given force and quadruples the moment of inertia of the arm.
Detailed explanation-2: -The magnitude of the torque depends on: Radius r: Increasing the radius increases the torque. Angle between the force and lever arm : Directing a force perpendicular to the lever arm increases the torque.
Detailed explanation-3: -On doubling the moment arm, the value of torque will increase. A moment arm is basically defined as the length between a joint axis and the line of force acting on that joint. The moment arm or lever arm of a force system is the vertical distance from an axis to the line of action of a force.
Detailed explanation-4: -Torque = Force applied x lever arm The lever arm is defined as the perpendicular distance from the axis of rotation to the line of action of the force.
Detailed explanation-5: -Note that the torque is maximum when the angle is 90 degrees. A practical way to calculate the magnitude of the torque is to first determine the lever arm and then multiply it times the applied force.