Question

11. Which of the following gives the correct relation between the acceleration due to gravity and period of a pendulum?

g = 2πLT2
g = 4π2LT2
g = 2πLT
g = 2π2LT

Please show all of your algebra.

Answer 1

`\\ \rm\rightarrowtail T=2\pi\sqrt{(l)/(g)}`

• Derive g

`\\ \rm\rightarrowtail T^2=4\pi^2(l)/(g)`

`\\ \rm\rightarrowtail g=(4\pi ^2\ell)/(T^2)`

`\\ \rm\rightarrowtail g=\left((2\pi√(l))/(T)\right)^2`