Increasing Torque with Force and Length Adjustment
How does the torque increase when force and length are adjusted?
When trying to turn a stubborn bolt with a wrench, how can torque be increased by adjusting the force and length?
Explanation:
Increasing torque when turning a bolt with a wrench can be achieved by adjusting the force and length effectively. The relationship between torque, force, length, and angle is crucial in determining the torque applied to the bolt.
According to the data provided, to increase torque, you must apply three times the force and double the length of the wrench handle without changing the angle. When the force is tripled and the length of the wrench handle is doubled, the torque increases by a factor of 6.
When trying to loosen a stubborn bolt, you may encounter resistance that requires an increase in torque to overcome. By applying three times the force and doubling the length of the wrench handle, you effectively increase the torque applied to the bolt.
The torque formula, Torque = Force × Length × sin(angle), illustrates the relationship between force, length, and angle in determining torque. By tripling the force (3F) and doubling the length of the wrench handle (2L), without changing the angle, you can calculate the new torque (T\').
To find the increase factor of torque when adjusting the force and length, you divide the new torque by the initial torque, which results in an increase factor of 6. This means that when you triple the force and double the length of the wrench handle, the torque applied to the bolt is increased by a factor of 6.