The period T (in seconds) of a pendulum is given by T=2/pi / sqrt ((L) / (32)), where L stands for the length (in feet) of the pendulum. If / pi = 3.14, and the period is 1.57 seconds, what is the length?

The first thing we must do in this case is to rewrite the equation correctly:

T = 2 * pi * root (l / 32)

From here, we clear l:

T / (2 * pi) = root (l / 32)

l / 32 = (T / (2 * pi)) ^ 2

l = 32 * (T / (2 * pi)) ^ 2

Substituting values:

l = 32 * (1.57 / (2 * 3.14)) ^ 2

l = 2 feet

Answer:

the length is:

l = 2 feet