- #1
heartshapedbox
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Homework Statement
Picture a seat that is supported by two cables. One is horizontal, and the other makes an angle of 40 degrees to the vertical. The swing swings in a horizontal circle at a rate of 32 rev/min. The horizontal cable is 7.5 m long. The person sitting on the seat at the end of the cables weighs 825N and the seat weighs 255N. What is the tension in each cable?
Homework Equations
see below
The Attempt at a Solution
I have worked out that;
mv^2/r=F(horizontal)+F(slanted)sin40 i hat
F(slanted)cos(40)=255+825 k hat
My problem is that I feel as though i am not correctly determining the velocity, as I am not arriving at the correct answer. Here is my attempt:
Radius to the centre of the circle: 7.5m
circumference=2(pi)(radius)
this gives me distance traveled in m.
The swing moves 32 revolutions per min.
therefore, 32x circumference is the total distance traveled per min
multiply by 60 to get m/second.
This number ends up getting way to huge! :(