Find the amplitude of a sinusoid given frequency and time after zero-crossing

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To find the amplitude of a sinusoid given frequency and time after zero-crossing, the equation 2π f t = 6.28 is used, resulting in a value of 3.0144 radians. The sine of 3.01 radians is then calculated to aid in determining the amplitude. The discussion emphasizes the importance of understanding the relationship between the sine function and sinusoidal wave properties. Participants express gratitude for assistance in reaching the solution. The conversation concludes with the user confirming they have found the answer.
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Homework Statement
What is the elongation of a sine wave if the amplitude is 12cm and the frequency is 12Hz after 0.04 s after the zero crossing
Relevant Equations
s=smaxsin (2π f t)
2π f t = 6,28  12  0,04 = 3,0144
 
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Welcome to PF. :smile:

What is the sine of 3.01 radians? How does that help you to get to your solution?
 
berkeman said:
Welcome to PF. :smile:

What is the sine of 3.01 radians? How does that help you to get to your solution?
thanks I have it now :)
 
Thread 'Chain falling out of a horizontal tube onto a table'

Thread 'Chain falling out of a horizontal tube onto a table'

My attempt: Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE. PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##. PE of part in the tube = ##\frac{m}{l}(l - h)gh##. Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##. Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...
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