A block and tackle system has $50$ % efficiency. Find the velocity ratio of the system.

8

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Solution

The correct option is A 8
Given,
Efficiency = $50$ %
Effort = $T$
Free body diagram of the system

Load = $4 \times T$

We know that,

M.A = $\frac{Load}{Effort}$

$\Rightarrow$ $M.A. = \frac{4T}{T} = 4$

Efficiency, $η = \frac{M.A.}{V.R.}$

$\Rightarrow \frac{50}{100} = \frac{4}{V.R.}$

$∴ V.R. = 2 \times 4 = 8$

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A block and tackle system has 50% efficiency. Find the velocity ratio of the system. 8

The correct option is A 8Given, Efficiency = 50% Effort = T Free body diagram of the system Load = 4×T We know that, M.A = LoadEffort ⇒M.A.=4TT=4 Efficiency, η=M.A.V.R. ⇒50100=4V.R. ∴V.R.=2×4=8

A block and tackle system has $50$ % efficiency. Find the velocity ratio of the system.

8