What is a machine ?. A machine is a device that allows you to do work in a way that is easier . . How can a machine make work easier ?. …..by changing at least one of three factors. the amount of force you exert the distance over which you exert your force
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Input force = the force exerted on the machine.
Input force
Output force
Output force = the force the machine exerts on the object.
Input distance
The input force moves the machine a certain distance = input distance
Output distance
The machine does work by exerting the a force over another distance = output distance.
Output Work = Foutput x doutput
Input Work = Finput x d input
Input Work = Finput x d input
Output Work = Foutput x doutput
The amount of output work can never be greater than the amount of input work.
You put in a large force (input) and move your hand a small distance (input)……………
the shovel moves a big distance (output) with a small force (output)
How can the output force be greater than the input force? Finput< Foutput
For work to stay the same, the input force to be smaller and the input distance must be longer.
Example = ramp work is easier because you exert a smaller input force but move a longer distance
Input Work = Finput x dinput
Finput< Foutput
dinput< doutput
Why would you use a machine where the input force is greater than the output force?Finput< Foutput
The benefit of a hockey stick is that it increases the distance of the output.
dinput< doutput
The end of the stick travels faster and farther than the player’s hands do.
This means that the puck travels faster and a greater distance than it would have if the player hit the ball with his or her hand or foot.
Finput< Foutput
dinput< doutput
Why would you use a machine that changed neither force not distance?
A single pulley changes the direction of the lifting force.
You pull down on the rope to lift the object instead of pushing up.
The same amount of effort is needed as without a pulley, but it feels easier because you are pulling down.
Input force
When the output force is greater than the input force the mechanical advantage is greater than 1.
Example: If the input force of 10 newtons on a hand-held can opener. The opener exerts a force of 30 newtonson the can.
mechanical = output force = 30 N= 3
advantageinput force 10 N
For a machine that increases distance, the output force is less than the input force. The mechanical advantage is, therefore, is less than 1.
Example: If your input force is 20 newton and the machine’s output force is 10 newtons,
mechanical = output force = 10 N= .5
advantageinput force 20 N
The output force is half the input force, but the machine exerts the force over a longer distance.
mechanical = output force = 15 N= 1
advantageinput force 15 N
In every machine, some work is wasted overcoming friction
The less friction there is the closer the output work is to the input work.
Efficiency = output work x 100
input work
If the rusty shears have an efficiency of 60%, only a little more than half the work you do goes into cutting the bushes.
You do 250,000 J of work to cut a lawn with a hand mower. If the work done by the hand mower is 200,000 J, what is the efficiency of the lawn mower?
Efficiency = output work x 100
input work
Input work = 250, 000 J
Output work = 200,000 J
Efficiency = 200,000 J x 100 = 80%
250,000 J
The efficiency of the lawn mower is 80%
If you could find a machine with an efficiency of 100%, it would be an ideal machine.
Such a machine does not exist…In all machines some work is wasted due to friction.
An ideal machine transfers all the energy, so the output work equals the input work
All real machines have efficiencies less than 100%.