Question

Длина маятника фико в исакиевском соборе в Петербурге 98м. найти период и частоту колебаний маятника?

Answer 1

Дано: l=98м

Найти: T-?, v-?

Решение:

$T=2\pi\sqrt{\frac{l}{g}}=2\pi\sqrt{\frac{98}{9,8}}\approx20$

$\nu=\frac{1}{T}=\frac{1}{20}=0,05$

Ответ: 20с, 0,05 Гц.

Answer 2

Calculating the Period and Frequency of the Foucault Pendulum in St. Isaac's Cathedral

The length of the Foucault pendulum in St. Isaac's Cathedral in St. Petersburg is given as 98m. We can calculate the period and frequency of the pendulum using this length.

Calculating the Period: The period of a pendulum can be calculated using the formula: \[ T = 2\pi \sqrt{\frac{L}{g}} \] Where: - \( T \) = period of the pendulum - \( L \) = length of the pendulum - \( g \) = acceleration due to gravity

Substituting the given values: \[ T = 2\pi \sqrt{\frac{98}{9.81}} \]

Let's calculate the value of \( T \).

Calculating the Frequency: The frequency of the pendulum can be calculated using the formula: \[ f = \frac{1}{T} \] Where: - \( f \) = frequency of the pendulum - \( T \) = period of the pendulum

We can use the calculated value of \( T \) to find the frequency \( f \).

Let's calculate the value of \( f \).