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

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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 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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