## What is the mechanical advantage of the screw shown below?

Question

What is the mechanical advantage of the screw shown below?

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4 weeks 2021-08-18T03:43:46+00:00 2 Answers 0 views 0

## Answers ( )

1. Answer: C. 8.0

Step-by-step explanation:

The mechanical advantage is got from dividing the circumference of the shaft by the pitch of the screw.

Therefore, the circumference= 2πr

=2×π×2.3mm

=14.45mm

Mechanical advantage=14.45mm/1.8mm

=8.03

2. Answer:

See Explanation Below

Explanation:

Your question is incomplete; however, I’ll provide you the steps to calculate the mechanical advantage of a screw.

First, it should be noted that the mechanical advantage of a screw is always greater than 1. This is so because the output force is always greater than the input force.

The output force refers to the force applied by the screw (e.g. the force applied to a screwdriver) while the input force is the force applied to the screw.

The ratio of these forces is what gives the mechanical advantage (M.A).

In other words, M.A is the ratio of the output force to the input force.

Mathematically, M.A = Output Force ÷ Input Force.

Take for instance:

Calculate the mechanical advantage of a screw that has an input force of 16 N and an output force of 20N.

Mechanical Advantage = 20N ÷ 16N

Mechanical Advantage = 1.25

Assuming a 4-inch, length for a lever arm and a 1/4-inch pitch for the thread.

We can find the mechanical advantage by getting the output force and input force.

Output = 2πr = 2 * 3.14 * 4 = 25.12

Input = ¼

M.A = 25.12/¼

M.A = 100.48

So, basically you divide the value of the output force by the input force to get the mechanical advantage.