Sometimes levers are used to multiply distance. For a broom, your upper hand is

Question

Sometimes levers are used to multiply distance. For a broom, your upper hand is the fulcrum and your lower hand provides the input force: Notice the input arm is shorter than the output arm The mechanical advantage of this broom is: MA = 0. 3 meter/1.2 meters = 0.25 A mechanical advantage less than one doesn't mean a machine isn't useful. It just means that instead of multiplying force, the machine multiplies distance A broom doesn't push the dust with as much force as you use to push the broom, but a small movement of your arm pushes the dust a large distance. Lever problems A lever used to lift a heavy box has an input arm of 4 meters and an output arm of 0.8 meters What is the mechanical advantage of the lever? What is the mechanical advantage of a lever that has an input arm of 3 meters and an output arm of 2 meters? A lever with an input arm of 2 meters has a mechanical advantage of 4. What is the output arm's length? A lever with an output arm of 0.8 meter has a mechanical advantage of 6. What is the length of the input arm? A rake is held so that its input arm is 0.4 meters and its output arm is 1.0 meters. What is the mechanical advantage of the rake? A broom with an input arm length of 0.4 meters has a mechanical advantage of 0.5 What is the length of the output arm? A child's toy rake is held so that its output arm is 0.75 meters. If the mechanical advantage is 0 33. what is the input arm length?

Explanation / Answer

Mechanical advantage = out put force / input force (or)                                      = distance over which effort is applies / distance over which the load is moved (1) mechanical advantage of the lever M.A = 4m / 0.8 m                                                                = 5 (2) mechanical advantage of the lever M.A = 3m / 2 m                                                                = 1.5 (3) mechanical advantage of the lever M.A =  out put force / input force out put arm length = M.A* input arm length                              = (4)(2)                                                          = 8 m (4) length of input arm = out put arm length / M.A                                = 0.8/6                                = 0.13 (5) mechanical advantage of the lever M.A = 1m / 0.4 m                                                                = 2.5 (6) out put arm length = M.A* input arm length                              = (0.5)(0.4)                                                          = 0.2 m (7) length of input arm = out put arm length / M.A                                = 0.75/0.33                                = 2.272 m NOTE: YOU SHOULD NOT POST MORE THAN ONE .                                                                mechanical advantage of the lever M.A = 3m / 2 m                                                                = 1.5 (3) mechanical advantage of the lever M.A =  out put force / input force out put arm length = M.A* input arm length                              = (4)(2)                                                          = 8 m (4) length of input arm = out put arm length / M.A                                = 0.8/6                                = 0.13 (5) mechanical advantage of the lever M.A = 1m / 0.4 m                                                                = 2.5 (6) out put arm length = M.A* input arm length                              = (0.5)(0.4)                                                          = 0.2 m (7) length of input arm = out put arm length / M.A                                = 0.75/0.33                                = 2.272 m NOTE: YOU SHOULD NOT POST MORE THAN ONE .                                                                mechanical advantage of the lever M.A =  out put force / input force out put arm length = M.A* input arm length                              = (4)(2)                                                          = 8 m (4) length of input arm = out put arm length / M.A                                = 0.8/6                                = 0.13 (5) mechanical advantage of the lever M.A = 1m / 0.4 m                                                                = 2.5 (6) out put arm length = M.A* input arm length                              = (0.5)(0.4)                                                          = 0.2 m (7) length of input arm = out put arm length / M.A                                = 0.75/0.33                                = 2.272 m NOTE: YOU SHOULD NOT POST MORE THAN ONE .                                                                mechanical advantage of the lever M.A = 1m / 0.4 m                                                                = 2.5 (6) out put arm length = M.A* input arm length                              = (0.5)(0.4)                                                          = 0.2 m (7) length of input arm = out put arm length / M.A                                = 0.75/0.33                                = 2.272 m NOTE: YOU SHOULD NOT POST MORE THAN ONE . out put arm length = M.A* input arm length                              = (0.5)(0.4)                                                          = 0.2 m (7) length of input arm = out put arm length / M.A                                = 0.75/0.33                                = 2.272 m NOTE: YOU SHOULD NOT POST MORE THAN ONE . length of input arm = out put arm length / M.A                                = 0.75/0.33                                = 2.272 m NOTE: YOU SHOULD NOT POST MORE THAN ONE .

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