Water filled in an empty tank of area 10 A through a tap of cross sectional area A. The speed of water flowing out of tap is given by v(m/s)=10(1-sin((pi)/(30)t) where t is in second. The height of water level from the bottom of the tank at t=15 second will be:
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Explanation:
Q t=AV t,
10 A=[1-sin(πt/30)],
V=10A[t+cosπt/30//π/30],
V=10 A[15+cosπ/2//π/30-0-cos0//π/3],
V=10A[15-30/π],
h=V/10 A,
[15-30/π] is the heigth of the tank.
Hope it helps and sorry if you didn't understand,but the answer is correct.
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