Question

The wavelength of a pendulum on a string is 3.5 meters and its speed is 4.5 m/s. What is its frequency?

Answer 1

The frequency is 1.286 Hz

Step-by-step explanation:

Frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz). That is, the frequency is a magnitude that measures the number of repetitions that an event can have per unit of time.

Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. it is expressed in units of length (m).

The propagation speed (v) is the speed with which the wave propagates in the medium.

These three variables are related by the following equation:

v = f * λ

where the speed is v the wavelength is λ and the frequency is f.

So the frequency can be calculated by:

`f=(speed)/(wavelenght)`

In this case:

• v= 4.5 m/s

• λ= 3.5 m

Replacing:

`f=(4.5 (m)/(s) )/(3.5 m)`

Solving:

f=1.286
`(1)/(s)`

f=1.286 Hz

The frequency is 1.286 Hz