Problema Solution
The period of a pendulum is the time the pendulum takes to swing back and forth. The function l=0.81t^2 relates the length l in feet of a pendulum to the period t. If a pendulum is 30 ft long, what is the period of the pendulum in seconds?
Answer provided by our tutors
l = 30 ft
t = ?
l=0.81 t^2
0.81 t^2 = 30
t^2 = 30/0.81
t = (30/0.81)^0.5
t = 6.0858 s
the period of the pendulum is 6.0858 seconds.