A Foucault pendulum with a length of 7.5 m has a period of 5.4 s. What is its frequency?
What is its frequency in Hz?
To find the frequency of the Foucault pendulum, we can use the formula:
Frequency = 1 / Period
Given that the period of the pendulum is 5.4 seconds, we can substitute this value into the formula to calculate the frequency.
Frequency = 1 / 5.4
Simplifying the fraction, we get:
Frequency = 0.1852 Hz
Therefore, the frequency of the Foucault pendulum is approximately 0.1852 Hz.
To find the frequency of the Foucault pendulum, we need to recall the relationship between frequency and period.
The frequency (f) of an oscillating object is the number of oscillations it completes per unit time. It is the reciprocal of the period (T), which is the time taken to complete one full oscillation.
Mathematically, the relationship between frequency and period is given by:
f = 1/T
Given that the period, T, of the Foucault pendulum is 5.4 s, we can find its frequency by substituting this value into the equation:
f = 1/5.4
Simplifying the equation by calculating the reciprocal:
f = 0.185 Hz
Therefore, the frequency of the Foucault pendulum is 0.185 Hz.