kitkira27
contestada

Fysical suo
A young girl is on a swing that completes 20.0 cycles in 25 seconds. What are its
frequency and period?

Respuesta :

Answer:

0.8 - 1.25

Explanation:

[tex]f = n \div t[/tex]

[tex]period = 1 \div f[/tex]

f = 20/25 = 0.8 Hz

period = 1/0.8 = 1.25 s

The frequency of the girls motion is 0.8 Hz and her period of oscillation is 1.25 s

The given parameters;

  • number of cycles made by the girl during the swing, n = 20 cycles
  • time of her swing, t = 25 s

The frequency of the girls motion is calculated as follows;

[tex]f = \frac{number \ of \ complete \ cycle}{time \ of \ motion} \\\\f = \frac{n}{t} \\\\f = \frac{20}{25} \\\\f = 0.8 \ Hz[/tex]

The period of the girls oscillation is calculated as follows;

[tex]T = \frac{t}{n} \\\\T = \frac{25 \ s}{20} \\\\T = 1.25 \ s[/tex]

Thus, the frequency of the girls motion is 0.8 Hz and her period of oscillation is 1.25 s

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