A pendulum with a length of 1.5 meters is released from an angle of 20 degrees.What is the period and frequency of this pendulum?

Respuesta :

Answer:

The period and frequency of this pendulum are 2.457 s and 0.407 Hz.

Explanation:

Given that,

Length = 1.5 m

Angle = 20°

We need to calculate the period

Using formula of period

[tex]T = 2\pi\sqrt{\dfrac{L}{g}}[/tex]

Where, T = time period

g = acceleration due to gravity

l = length

Put the value into the formula

[tex]T=2\times3.14\sqrt{\dfrac{1.5}{9.8}}[/tex]

[tex]T=2.457\ sec[/tex]

We need to calculate the frequency

[tex]T = \dfrac{1}{f}[/tex]

[tex]f=\dfrac{1}{T}[/tex]

Put the value of T

[tex]f=\dfrac{1}{2.457}[/tex]

[tex]f =0.407\ Hz[/tex]

Hence, The period and frequency of this pendulum are 2.457 s and 0.407 Hz.

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