Question

Once a week you babysit your neighbor’s toddler after school, usually going to a local playground. You notice that each swing on the swing set takes about the same amount of time, about 2.2 seconds. Use the pendulum formula below to find out how long the swing is. Round your answer to the tenths place. (equation and answers attached)

a) 10 ft
b) 25 ft
c) 6 ft
d) 3.9 ft

Answer 1

3.9

Explanation:

APEX

Answer 2

So to answer this, let us plug in the given values to the given formula.
T = 2π√L/32
2.2 = 2π√L/32 <<divide both sides by 2π or 6.28
2.2/2π = √L/32 << square both sides
(2.2/2π)^2 = L/32 << next multiply both sides by 32 and we get
32 (2.2/2π ) = L
So the final answer would be L = 3.923156... or to round it off, it would be
L = 3.9
So the correct answer would be option D. 3.9 feet. Hope this is the answer that you are looking for.