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A block and tackle system with seven supporting strands is used to lift a metal lathe in a manufacturing facility. The motor used to wind the cable in the pulley system can provide 150 lb of force.

Determine the weight of the heaviest lathe that can be lifted using this system.

Answer :

The block and tackle system with seven supporting strands provides a mechanical advantage of 128. With the motor capable of providing 150 lb of force, it can easily lift the metal lathe in the manufacturing facility.

A block and tackle system is a mechanical advantage system that allows you to lift heavy loads with less force by using multiple pulleys. In this case, you have a system with seven supporting strands. To calculate the effective mechanical advantage (MA) of the block and tackle system, you can use the formula:

MA = 2ⁿ

Where:

MA is the mechanical advantage.

n is the number of supporting strands.

In your case, n is 7, so:

MA = 2⁷ = 128

This means that the block and tackle system provides a mechanical advantage of 128. It means that for every 1 lb of force applied by the motor, you can lift a load that weighs 128 lbs.

Given that the motor can provide 150 lb of force, it should be capable of easily lifting the metal lathe in the manufacturing facility with the block and tackle system.

To know more about force:

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