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Physics

A block and tackle system has 5 pulleys. If an effort of 1000 N is needed in the downward direction to raise a load of 4500 N,

Calculate —

(a)The mechanical advantage,

(b)The velocity ratio and,

(c)The efficiency of the system.

Machines

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Answer

Given,

Effort = 1000 N

Load = 4500 N

Number of pulleys = n = 5

As we know that,

M.A.=LoadEffortM.A. = \dfrac{\text {Load}}{\text {Effort}} \\[0.5em]

Substituting the values in the formula we get,

M.A.=45001000M.A.=4510M.A.=4.5M.A. = \dfrac{4500}{1000} \\[0.5em] M.A. = \dfrac{45}{10} \\[0.5em] \Rightarrow M.A. = 4.5 \\[0.5em]

As we know,

V.R. = n = 5

η=M.A.V.R.η=4.55η=0.9\eta = \dfrac{M.A.}{V.R.} \\[0.5em] \eta = \dfrac{4.5}{5} \\[0.5em] \Rightarrow\eta = 0.9 \\[0.5em]

Therefore, efficiency = 90%

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