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Why the force needed to undo the bolt is smaller when a spanner with a longer handle is used?
Wiki User
∙ 11y ago
Basically, the longer the handle, the less force is needed to apply a certain torque. This is defined by the equation t=fd where t= torque, f= force, and d= distance in a radial fashion.
Wiki User
∙ 11y ago
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What is the effect on the effort force used when the length of the effort arm is decreased?
The force you are referring to is called torque. here is an example: you have 2 wrenches, one with a short handle and the other with a long handle, and 2 identical bolts. The force required for the longer wrench to turn the bolt is less than the force required for the short to turn the bolt. This is because the longer the handle the greater the Torque and therefore less force needs to be applied. summary: longer "effort arm"=more torque= less force needed shorter "effort arm"=less torque=more force needed I hope this answers your question
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The longer spanner gives you a greater "mechanical advantage". If you search for "The six simple machines" there are loads of excellent explanations... you can think of the spanner as a either lever with the pivot point (or fulcrum) at one end, or as a single spoke from a wheel (where the nut is the middle of the wheel). Work is a force acting over a distance. Work (Joules) = Force (Newtons) x Distance (metres). Your muscles have a fixed maximum output of work... by using a longer spanner you are making the distance longer, so the amount of force needed to get the work done at the end you pull on gets smaller.
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What is the effect on the effort force used when the length of the effort arm is decreased?
The force you are referring to is called torque. here is an example: you have 2 wrenches, one with a short handle and the other with a long handle, and 2 identical bolts. The force required for the longer wrench to turn the bolt is less than the force required for the short to turn the bolt. This is because the longer the handle the greater the Torque and therefore less force needs to be applied. summary: longer "effort arm"=more torque= less force needed shorter "effort arm"=less torque=more force needed I hope this answers your question
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