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Definitions of Mechanical Advantage, Velocity Ratio and Efficiency of Simple Machines - YouTube
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hello friends in this video we will see
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the definitions of mechanical advantage
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velocity ratio input output and
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efficiency so let us start with each one
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of them the first one is mechanical
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advantage it is defined as the ratio of
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load and effort so it is a very simple
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definition that mechanical advantage is
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the ratio of load and effort so
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mathematically the formula will be given
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by M A mechanical advantage is just
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denoted by M A it is equal to W by P
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load upon effort as per the definition
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now load n effort both will be having
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same unit so their unit gets cancelled
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and hence M a that is mechanical
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advantage doesn't have a unit it is just
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a numbers
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it does not have a unit next mechanical
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advantage will be greater than one
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always for the simple machines the next
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definition is velocity ratio velocity
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ratio it is defined as the ratio of
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distance traveled by effort to the
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distance traveled by load so I will
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write down the formula mathematically it
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is given by velocity ratio is denoted by
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V R and it is equal to the distance
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traveled by effort we will denote that
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by Y and distance traveled by load I'll
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denote it by X so velocity ratio is y
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upon X where Y is equal to distance
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traveled by effort it will be suppose in
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mm and X is the distance travelled by
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load this will also be in mm so as we
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can see since both the both of them they
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are distances they get cancelled out so
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velocity ratio does not have a unit
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therefore V R also does not have a unit
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like mechanical advantage it also does
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not have a unit it is just a number
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and velocity ratio will always be
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greater than one like mechanical
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advantage the next definition is input
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input to a machine is defined as the
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product of effort and distance travelled
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by effort so input can be written as
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therefore input will be equal to the
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product of effort that is P into the
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distance travelled by effort Y so this
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is the input next output output is
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defined as the product of load and
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distance traveled by load so output will
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be equal to the product of load and
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distance traveled by load that is X now
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after input and output the next
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definition is efficiency efficiency it
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is defined as
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the ratio of output upon input of output
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to input so therefore efficiency which
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is denoted by ETA it is equal to output
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upon input and we know that output is
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equal to W into X that is load into
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distance travelled by load input is
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effort into distance travelled by effort
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so finally efficiency will be equal to W
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upon P it is divided by X by Y and we
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know that therefore efficiency will be
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equal to W upon P is mechanical
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advantage it is divided by X by by Y by
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X is velocity ratio so X by Y is upon
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velocity ratio so this is the formula of
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efficiency and here I will say that
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since mechanical advantage is equal to
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load upon effort and velocity ratio is
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equal to Y by X so if I multiply this by
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100 I would be getting percentage
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efficiency for any given machine so here
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in this video we have seen some
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definitions like mechanical advantage
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velocity ratio input output and
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efficiency so I hope everything is clear
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