Question

EJ is taking his little sister, Ebony, on her first carousel ride. His mass is 75.0 kg and her mass is 10.0 kg. They ride the same horse and it is 11.0 meters from the center of the carousel. If their angular momentum is 14020 kg m2/s, what is their linear speed?

Answer 1

V = 11*1.363 = 15m/s = 33.6mi/hr

Answer 2

linear speed is 15 m/s

Step-by-step explanation:

The amount of angular movement is the product of the moment of inertia by the angular velocity

L = I w

The expression for the moment of inertia is

I = m r²

The angular velocity is related to the linear velocity by

V = r w

With these three equations, we can substitute the first in the second and calculate

I = (75 + 10) 11²

I = 10285 Kg m²

v = r (L / I)

v = 11 (14020/10285)

v = 15 m / s