1.

What is the relation between oscillating frequency and total energy of a simple pendulum?

Answer»

For a simple pendulum
Etotal = \(\frac { 1 }{ 2 } \) mω2 a2 = \(\frac { 1 }{ 2 } \)m(2πn)2 a2
\(\frac { 1 }{ 2 } \) m 4π2 n2 a2
= 2π2 mn2 a2
Here, Etotal = total energy
m = mass of the pendulum (bob)
ω = angular frequency = 2πn = 2π/T
n = linear frequency
a = amplitude.



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