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A machine displaces a load of 125 kgf through a distance 0.30 m, when an effort of 12.5 kgf acts through a distance of 4.0 m. Calculate the (a) velocity ratio (b) mechanical advantage

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Question

A machine displaces a load of 125 kgf through a distance 0.30 m, when an effort of 12.5 kgf acts through a distance of 4.0 m. Calculate the

  1. velocity ratio
  2. mechanical advantage
  3. % age efficiency of the machine.
Numerical
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Solution

\[ \text{(a) Velocity ratio} = \frac{\text{Distance through which the effort moves}}{\text{Distance through which the load moves}} = \frac{4.0\ \text{m}}{0.30\ \text{m}} = 13.33 \] \[ \text{(b) Mech. Adv.} = \frac{\text{Load}}{\text{Effort}} = \frac{125\ \text{kgf}}{12.5\ \text{kgf}} = 10 \] \[ \text{(c) \% age efficiency} = \frac{\text{MA}}{\text{VR}} \times 100 = \frac{10}{13.33} \times 100 = 75\% \]

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Chapter 3: Machines - NUMERICAL PROBLEMS ON LEVERS [Page 52]

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Goyal Brothers Prakashan A New Approach to ICSE Physics [English] Class 10
Chapter 3 Machines
NUMERICAL PROBLEMS ON LEVERS | Q 1. | Page 52
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