The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec
A.
96 cm
B.
324 cm
C.
36 cm
D.
144 cm
Correct Answer: 324 cm
Explanation
L∝T 2
L=kT 2
k=L/T 2
when T = 4, L = 64.
k=64/4 2=4
L=4T 2
when T = 9,
L=4×9 2=324cm
L∝T 2
L=kT 2
k=L/T 2
when T = 4, L = 64.
k=64/4 2=4
L=4T 2
when T = 9,
L=4×9 2=324cm