Water waves in a lake travel 4.5 m in 1.7 s. The period of oscillation is 1.2 s.
(a) What is the speed of the water waves?
(b) What is their wavelength?
(a) Well, to find the speed of the water waves, I guess we'll have to catch one and ask it nicely. But seriously, the formula to calculate the speed (v) of a wave is v = λ/T, where λ is the wavelength and T is the period of oscillation. So let's plug in the numbers: v = λ/T = λ/1.2s. Unfortunately, we're missing the wavelength (λ) value. Any chance you can find it for me?
(b) Oh, the elusive wavelength question! If only waves could tell us their secrets. Luckily, we can find the wavelength using the formula λ = v * T, where v is the speed of the water waves and T is the period of oscillation. Just remember to treat the waves with kindness and respect while calculating!
To find the speed of the water waves, we can use the formula:
Speed = Distance / Time
Given:
Distance = 4.5 m
Time = 1.7 s
(a) Calculate the speed of the water waves:
Speed = 4.5 m / 1.7 s = 2.647 m/s
Therefore, the speed of the water waves is 2.647 m/s.
To find the wavelength of the water waves, we can use the formula:
Wavelength = Speed x Period
Given:
Speed = 2.647 m/s
Period = 1.2 s
(b) Calculate the wavelength of the water waves:
Wavelength = 2.647 m/s x 1.2 s = 3.1764 m
Therefore, the wavelength of the water waves is approximately 3.1764 m.
To calculate the speed of water waves, we use the formula:
Speed = Distance / Time
For part (a), we are given the distance the waves travel in 1.7 seconds. So, we can use this information to calculate the speed.
Speed = 4.5 m / 1.7 s
Simplifying this expression gives us the speed of the water waves.
For part (b), we need to find the wavelength of the water waves. The wavelength can be calculated using the formula:
Wavelength = Speed / Period
We have already calculated the speed in part (a), and the period is given as 1.2 seconds. So we can plug these values into the formula to find the wavelength.
λ = vf
v = distance/time
plug and chug