Question

A parent swings a 11.5 kg

child in a circle of radius
0.711 m, making 12 revolutions
in 27.4 s. How much force does
the parent exert on the child?
(Unit = N)

Answer 1

the answer is 62.1

Explanation:

Answer 2

22.5 N

Step-by-step explanation:

Taking towards the center to be +x, sum of forces on the child in the x direction:

∑F = ma

F = m v² / r

F = m (ωr)² / r

F = m ω² r

Plugging in values:

F = (11.5 kg) (12 rev × 2π rad/rev / 27.4 s) (0.711 m)

F = 22.5 N