homework. I need help

Question

1. What is the period for a wave that competes 3 cycles every 0.1s? 2. A wave has a frequency of 0.5Hz and a wavelength of 0.3m. How much time does it take a crest to travel 25m?  Please Help me guys

Answer 1

1)

Number of cycles N =3 cycles

Time, t = 0.1 s

Calculate the frequency.

f = N/t

  = 3/0.1

  =30 Hertz

Calculate the period.

T = 1/ f

   = 1 / 30

   = 0.0333 s

Therfore, the period is 0.0333 s

Answer 2

2)

Given

Frequency, f = 0.5 Hz

Wavelength,λ = 0.3 m

Crest x  = 25 m

Calculate the velocity to reach creat.

v  = f λ

   = (0.5) (0.3)

   = 0.15 m/s

Calculate the time .

t = x/v

  =25/0.15

  = 166.667 s

Therefore, the time is 166.667 s