- #1

Abood

- 14

- 3

## Homework Statement

A man, with a mass of 85kg, swings from a vine with a length of 11m. If this speed at the bottom of the swing is 8m/s, what is the tension if g = 10m/s^2?

Given:

m (mass) = 85kg

r (radius) = 11m

V (speed) = 8m/s

g = 10m/s^2

T = ?

## Homework Equations

Fc (centripetal force) = T (Tension)

F = ma (Newton's second law)

ac (centripetal acceleration) = v^2 / r

T = m*ac

w (angular velocity) = v/r

## The Attempt at a Solution

Fc = T

Fc = ma

Fc = (m)(v^2/r)

Fc = (85)(8^2/11) = 494. 545 N

T = 494.545 N

I feel as though I am missing something really important but I don't know what. The g felt like it was just to throw me off. And some wording seems vague to me, like "at the bottom of the swing."

Would be nice if someone could check my work and if there are any issues, could tell me where they are.