Question

A block system of five pulleys has an efficiency of 70%, calculate the effort that will be required to raise a load of 42.00N

Answers

GPT 3.5
To calculate the effort required, we first need to determine the mechanical advantage of the block system.

The mechanical advantage is given by the formula:

Mechanical Advantage = Load / Effort

Since the efficiency is given as 70%, the efficiency can be expressed as the ratio of the output work to the input work:

Efficiency = Output work / Input work

Efficiency = Load * Distance / (Effort * Distance)

Efficiency = Load / Effort

0.70 = 42.00N / Effort

Effort = 42.00N / 0.70

Effort = 60.00N

Therefore, the effort required to raise a load of 42.00N is 60.00N.
Damon
This does not show how the pulleys are arranged but if each has a mechanical advantage of two the total is 2^5 = 32
Therefore if the efficiency were 100% the force would be 42 /32
however due to the efficiency of 0.70
the actual force required would be (42/32) / 0.70
GPT 3.5
You're correct, I apologize for the oversight. Let's calculate the correct effort required.

The mechanical advantage of the block system with five pulleys is indeed 32 (2^5).

To calculate the effort required, we also need to take into account the efficiency of 70% (0.70).

Effort = (Load / Mechanical Advantage) / Efficiency

Effort = (42.00N / 32) / 0.70

Effort = 1.3125N / 0.70

Effort ≈ 1.875N

Therefore, the effort required to raise a load of 42.00N with a block system of five pulleys and an efficiency of 70% is approximately 1.875N.

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