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Calculating Mechanical Advantage Name: ___________ Class: ___________ Date: ___________ The mechanical advantage equations allow you to calculate the ideal or actual mechanical advantage of a simple machine. The mechanical advantage is an indicator of how force or distance is multiplied in a machine. MA = effort arm length load arm length ! ! ! ! ! ! ! MA = input distance output distance ! actual MA = output force input force For each problem below, determine which equation you need to use, and solve the problem. Show all your work! 1. A baseball player swings her bat and hits a baseball. The player’s hands move a distance of 1.0 m while the end of the bat moves 1.5 m. What is the mechanical advantage of the bat? 2. A crank (gear system) is used to pull a boat onto a trailer. The crank handle on the drive gear moves a distance of 1.8 m while the follower gear moves a distance of 0.3 m. What is the mechanical advantage of the device? 3. A chain hoist (pulley system) us used to lift the motor from a car. In order to raise the motor a distance of 1.5 m, 7.5 m of chain had to be pulled through the system. What is the mechanical advantage of the chain hoist? Calculating Mechanical Advantage 4. A lever, 4 m long, has a fulcrum placed 3 m from the effort end. What force will be necessary to lift a load of 600 N? 5. A pulley system is set up so that its mechanical advantage is 4. Assuming that there is no friction in the system, how far will the load move if 6 m of rope pulled through the system?