SOLUTION: 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,

Algebra ->  Finance -> SOLUTION: 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,       Log On


   



Question 1057123: 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 3.1 seconds. Use the pendulum formula below to find out how long the swing is. Round your answer to the tenths place. Formula is - T=2π√L/32
Answer by solve_for_x(190) About Me  (Show Source):
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Rearrange the formula T+=+2pi+%2A+sqrt%28L%2F32%29 to isolate the variable L.

Divide both sides by 2pi to get:

T%2F2pi+=+sqrt%28L%2F32%29

Square both sides to get:

L%2F32+=+%28T%2F2pi%29%5E2

Multiply both sides by 32 to get:

L+=+32%28T%2F2pi%29%5E2

Finally, substitute in 3.1 in place of T and calculate L.