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An effort of 8 kgf is applied on a machine through a distance of 50 cm, when a load of 100 kgf moves through a distance of 3 cm. Calculate (a) velocity ratio (b) mechanical advantage

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Question

An effort of 8 kgf is applied on a machine through a distance of 50 cm, when a load of 100 kgf moves through a distance of 3 cm. Calculate

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

\[ \text{(a) Velocity ratio} = \frac{\text{Distance through which the effort moves}}{\text{Distance through which the load moves}} = \frac{50\ \mathrm{cm}}{3\ \mathrm{cm}} = {16.67} \]

\[ \text{(b) Mech. Adv.} = \frac{\text{Load}}{\text{Effort}} = \frac{100\ \mathrm{kgf}}{8\ \mathrm{kgf}} = {12.5} \]

\[ \text{(c) \% age efficiency} = \frac{\mathrm{MA}}{\mathrm{VR}} \times 100 = \frac{12.5}{16.67} \times 100 = {75\%} \]

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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 3. | Page 52
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