Question

A 70 kg tightrope walker is the exact middle of a span of her rope. At that point each rope makes an angle of 3 degrees below horizontal with its supporting column. What is the TENSION in the ropes.

Answer 1

The tension is
`T= 6553.811\ N`

Step-by-step explanation:

From the question we are told that

The mass of the tightrope walker is m = 70 kg

The angle of the rope with the horizontal is
`\theta =  3^ o`

Generally the net force on the vertical axis at equilibrium is mathematically represented as

`2 T si n (\theta ) - mg    =  0`

=>
`2 T sin (3 ) - 70 *  9.8    =  0`

=>
`0.1046719T - 686    =  0`

=>
`0.1046719T     =  686`

=>
`T= 6553.811\ N`