Circular Motion of amusement park ride

[rg67]

Homework Statement

An amusement park ride consists of a rotating circular platform 7.81m in diameter from which 10kg seats are suspended at the end of 3.03m massless chains. when the system rotates, the chains make an angle of 26.1 with the vertical. Gravity = 9.8m/s^2. what is the speed of each seat? answer in units of m/s.

Homework Equations

F=ma
acceleration centripetal = v^2/r

The Attempt at a Solution

Well i drew a free body diagram and the forces of on the y-axis are Tcos26.1=mg. the forces on the x-axis are (Tsin26.1)r/m=V^2

 

[Redbelly98]

Welcome to PF.

Well i drew a free body diagram and the forces of on the y-axis are Tcos26.1=mg.

Good. So T = ____ ?

the forces on the x-axis are (Tsin26.1)r/m=V^2

If you figure out what r is, and use T from the previous equation, you'll have it solved.

 

[rg67]

thanks i solved it