The radius of a wheel is 30.0 cm and that of its axle is 6.0cm.

PHYSICS
WAEC 2011

The radius of a wheel is 30.0 cm and that of its axle is 6.0cm. Calculate the effort required to lift a load of 120.0N using this machine. Assuming 100% efficiency

  • A. 600.0N
  • B. 40.0N
  • C. 24.0N
  • D. 20.0N

Correct Answer: C. 24.0N

Explanation

V.R = \(\frac{R}{r} = \frac{30}{6} = 5\)

\(\gamma = \frac{M.A}{V.R} \times \frac{100}{1} \)

M.A = \(\frac{100 \times 5}{100} = 5\)

Effort = \(\frac{L}{M.A} = \frac{120}{5}\)

= 24N



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