The time for a swing to move forward and backwards is determined by this formula.

T=2pi sqrt L/9.8. T is the time, in seconds,taken for the swing to move through one complete cycle. L is the length of rope supporting the swing.

Determine the length of the rope supporting a swing that takes 3.4 seconds to move through one cycle. Round to nearest tenth of a metre.

Please help thank you

1 answer

just plug in your numbers:

3.4 = 2π√(L/9.8)

Just solve for L