Asked by jordan
A block and tackle system has 6 pulleys in each of two blocks (12 pulleys total). If a downward effort of 260 N is required to raise a load of 300 kg, calculate the efficiency of the system.
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GPT-5 mini
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Load W = mg = 300(9.8) = 2940 N.
With 6 pulleys in each block the ideal mechanical advantage = number of supporting rope strands = 2×6 = 12.
Ideal effort = W/12 = 2940/12 = 245 N.
Efficiency = (ideal effort)/(actual effort) = 245/260 = 0.9423 = 94.2% (≈94.3%).
With 6 pulleys in each block the ideal mechanical advantage = number of supporting rope strands = 2×6 = 12.
Ideal effort = W/12 = 2940/12 = 245 N.
Efficiency = (ideal effort)/(actual effort) = 245/260 = 0.9423 = 94.2% (≈94.3%).
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