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Why we use machines
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Machine- device that makes work easier.
2 forces are involved when machine is used Effort force (Fe) The force applied to the machine. Resistance force (Fr) The force applied by the machine.
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Ex: You apply effort force to a crowbar handle
Ex: You apply effort force to a crowbar handle. The crowbar handle has resistance force on lid to crate.
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There’s 2 kinds of work when a machine is used
Work input (Win) Work done on the machine Work output (Wout) Work done by the machine
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To calculate Work input
Win= Fe X de (Win = effort force X distance) To calculate Work output Wout = Fr X dr (Wout = resistance force x distance)
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Work output can never be greater than Work input
Work output can never be greater than Work input. It will always be a smaller number than Work input.
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Ideal machine- machine in which work input equals work output.
W in = W out (Fe X de) = (Fr X dr)
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Mechanical Advantage (MA)- the number of times a machine multiplies the effort force.
The higher the MA, the easier it is on you.
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To calculate the mechanical advantage of any machine.
Variable Ending Units Effort force (Fe) Newton Resistance force (Fr) Newton Mechanical Advantage None (MA)
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MA = Fr / Fe Fr = MA x Fe Fe = Fr / MA Fr . . MA Fe x
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To find the mechanical advantage of a lever.
MA = Length of effort arm / length of resistance arm MA = Le / Lr MA= 30m/10m MA= 3
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To find the mechanical advantage of a wheel and axle
MA = radius of wheel / radius of axle MA = 5 / 1 MA = 5
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To find the mechanical advantage of an inclined plane
MA = Length of slope / Height of slope
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To find the mechanical advantage of a pulley
MA = Number of pulleys you see MA=1 MA=5 MA=4 MA=2
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