radius of platform = 9.87/2 = 4.935 meters
r = radius of seat circle = 4.95 + 2.59 sin 39.3 = 6.59 meters
call seat mass m, never mind the 10 kg. The angle would not change even if a big kid were in it :)
m g down
m v^2/r horizontal
sin 39.3 = (v^2/r) / g
v^2 = r g sin 39.3
An amusement park ride consists of a rotating
circular platform 9.87 m in diameter from
which 10 kg seats are suspended at the end
of 2.59 m massless chains. When the system
rotates, the chains make an angle of 39.3
◦ with the vertical. The acceleration of gravity is 9.8 m/s2.
what is the speed of each seat? Answer in m/s
1 answer