Final answer:
The speed of rotation can be calculated using v = 2πR / T and the radial acceleration can be calculated using a = v^2 / R.
Step-by-step explanation:
To determine the speed of rotation, we can use the formula for linear speed, which is given by v = 2πR / T, where v is the speed, R is the radius, and T is the period of rotation. Substituting the given values, we get v = 2π(0.3) / T.
To determine the radial acceleration, we can use the formula for centripetal acceleration, which is given by a = v^2 / R, where a is the acceleration, v is the speed, and R is the radius. Substituting the given values, we get a = (2π(0.3) / T)^2 / 0.3.
complete question:
Imagine that you are standing on a horizontal rotating platform in an amusement park (like the platform for a merry-go-round). The period of rotation T and the radius of the platform R are given, and you know your mass m. A)Determine the speed of rotation. Express your answer in terms of R, T, and m. B) Determine the radial acceleration. Express your answer in terms of R, T, and m.