Period of torsion pendulum from rotational inertia¶
A torsion pendulum is an angular version of a linear harmonic oscillator: a disk oscillates in a horizontal plane; the reference line oscillates with some angular amplitude. The element of elasticity is associated with the twisting of the suspension wire.
Links:
- Symbol:
T- Latex:
\(T\)
- Dimension:
time
- rotational_inertia¶
The
rotational_inertiaof the disk.
- Symbol:
I- Latex:
\(I\)
- Dimension:
length**2*mass
- torsion_stiffness¶
The
torsion_stiffness, which depends on the properties of the suspension wire.
- Symbol:
kappa- Latex:
\(\kappa\)
- Dimension:
force*length/angle
- law¶
T = 2 * pi * sqrt(I / kappa)- Latex:
- \[T = 2 \pi \sqrt{\frac{I}{\kappa}}\]