Answer to Question #127531 in Classical Mechanics for Ashley

Question

A grandfather clock is designed so that one swing of the pendulum in either direction takes 1.00 s. What is the length of the pendulum?
1 : 0.993 m
2 : 0.248 m
3 : 0.062 m
4 : 0.100 m
5 : None of the above

Answer 1

One period in a pendulum is 2 swings, therefore the period $T=2.00 s.$

$T=\frac{1}{f}=2\pi\sqrt\frac{L}{g}$

After solving for $L$ , we get e get;

$L=g(\frac{T}{2\pi})^2$

$=(9.80m/s^2)(\frac{2.00s}{2\pi})^2$

$=0.993 m$

Therefore, the correct answer is option $1 : 0.993 m$