Posted by **Melvin** on Saturday, June 11, 2011 at 6:25pm.

The formula T=2π√L/480 can be used to find the period (T in seconds, the time it takes a pendulum to complete one cycle) of a pendulum that is L cm long.

(a)Rewrite this formula using rational exponents. Don't forget to rationalize the denominator.

(b)Solve the formula for L.

- Algebra -
**bobpursley**, Saturday, June 11, 2011 at 7:37pm
I think you mistyped 980

T=2PI (L/980)^.5

to solve for L, square both sides first.

- Algebra -
**Henry**, Saturday, June 11, 2011 at 8:02pm
a. T = 2pi*sqrt(L/980).

Square both sides:

T^2 = 4(pi)^2(L/980).

b. Multiply both sides by 980/4(pi)^2:

980T^2/4(pi)^2 = L.

- Algebra -
**Melvin**, Saturday, June 11, 2011 at 11:39pm
Thanks Henry and bobpursley for replying. Now the question makes sense :-)

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