Solution Search


. : "Mislenious"


Q- At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute.  The diameter of the base of the cone is 3 times the altitude.  At what rate is the height of the pile changing when the pile is 15 feet high?


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Dimensional Analysis

Q- The thickness h of a puddle of water on a waxy surface depends on the density ρ of the liquid, the surface tension γ (SI units: N/m) and acceleration due to gravity g. Use dimensional analysis to find a relationship between the thickness and the other 3 variables.


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Vectors: Components

Q- In each of these, the x and y components of a vector are given. Find the magnitude and direction of the vector.

(a) x = −4.0 cm, y = +5.0 cm.

(b) Fx = +160 N, Fy = −50.0 N.


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