# Stress in rope with pulley and weight

## Homework Statement

Im trying to work out the stress of a fishing line after connecting a fishing line to a pulleyboard and adding 100g weights one at a time onto the fishing line to create strain and stress.

I know the formula is Stress = Force divided by area

And i have already worked out the force acting on the fishing line for each 100 gram weights which are added. If i have done this right it is 0.1 (100 g) multiplied by 9.81 (gravity) to give 0.981.

Also i have the diameter of the fishing line as 35 microns (3.5 x 10 to the power of -5)

So the area of the cross section of the circular fishing line is needed and then needs to be multiplied by the length of the fishing line which is 1.2 metres.

Can anyone help me out with this please?

Thank you so much

## Homework Equations

Stress = Force / Area

Area of circular fishing line = pie x radius squared x length of fishing line (1.2 metres)

## The Attempt at a Solution

I keep on getting a 8 billion pascals answer :S

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Astronuc
Staff Emeritus
So the area of the cross section of the circular fishing line is needed
Yes.

and then needs to be multiplied by the length of the fishing line which is 1.2 metres.
No. Why multiply by the length. Area * length = volume.

Take the force 0.981 N and divide by the area pi*d2/4 m2.

1.02 E9 Pa. or 1.02 GPa

Compare to 1 atm = 0.101325 MPa. So this is about 10000 atm of pressure/stress or 147 ksi (for a 100 g load), which is a rather large stress.

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So would that surfice to go on and work out the young modulus of that fishing line seeing as i already have the strains?

I thought you may have had to work out the cross sectional area of the fishing line and multiply by the length to find the entire area of the fishing line, but i think you may be right.

And thank you so much :)

Astronuc
Staff Emeritus