Speed of Ocean Waves: 900m/min?

AI Thread Summary
The discussion centers on calculating the speed of ocean waves with a wavelength of 120 meters and a frequency of 8 waves per minute. The initial calculation incorrectly interprets the rate of waves as the period instead of the frequency. The correct frequency is determined to be 8 waves per minute, which translates to 0.133 waves per second. Using the formula for wave speed, v = f * λ, the correct speed is calculated as 960 m/min, not 900 m/min. The error highlights the importance of accurately determining frequency from the given wave rate.
roam
Messages
1,265
Reaction score
12

Homework Statement


Ocean waves with a wavelength of 120 m are coming in at a rate of 8 per minute. What is their speed?

The Attempt at a Solution



\lambda = 120

They are coming in at a rate of 8 per minute, that is 8 in 60 seconds. So the period is

T=\frac{8}{60}=0.13

Now we find frequency

f=\frac{1}{T}=\frac{1}{0.13}=7.5

v=f \lambda = 120 \times 7.5=900

But this is wrong. It is far larger than the actual answer! What did I do wrong?
 
Physics news on Phys.org
8 per minute would be the frequency, not the periodic time I believe.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...

Similar threads

Replies
15
Views
922
Replies
2
Views
724
Replies
4
Views
2K
Replies
1
Views
55K
Replies
3
Views
213
Replies
10
Views
2K
Replies
10
Views
1K
Back
Top