Integer type answer

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The shape of a water clock jar is such that water level. Descends at constant rate at all times.is it falls by x m/s,shape of jar is given by y proportional to x^n find value of n if radius of drain hole is r and can be assumed to be very small
Answer=4

Please explain how you solved it!

#Physics #Mechanics

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2 Answers

262

Aditya Bhutra ·2012-04-02 12:00:05

using bernoulli's eqn,

Ïgy = 1/2*Ï*v_hole² (since radius of hole is very small)

v_hole = √2gy

using eqn. of continuity ,

A_surfacev_surface = A_holev_hole

applying corresponding values ,

v_surface = r²√2gyx² = c (constant)

thus y = k * x⁴

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71

Vivek @ Born this Way ·2012-04-02 12:05:13

Hmm, Thanks. This turned out to be easier than I thought.

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