Question

Describe the method of measuring angle of repose.

Answer 1

Answer:

Fixed funnel method

Stop pouring the material when the pile reaches a predetermined height or the base a predetermined width. Rather than attempt to measure the angle of the resulting cone directly, divide the height by half the width of the base of the cone. The inverse tangent of this ratio is the angle of repose.

Answer 2

Answer:

• Angle of Repose is inclined angle at which the body which is placed on it,began to slide.
• For angle of Repose, Consider an inclined aeroplane on which an object is placed.
• Let the angle which this aeroplane makes with the vertical be θ.
• For small angles of θ, the object may not slide down.
• As θ is increased, for a particular value of θ, the object begins to slide down.
• This value is called angle of repose.
• Hence, the angle of repose is the angle of inclined aeroplane with the vertical similar that an object placed on it begins to slide.
• Let us consider the colorful forces in action then.
• The gravitational force mg is resolved into factors parallel( mg sin θ) and vertical( mg cos θ) to the inclined aeroplane.
• The element of force parallel to the inclined aeroplane ( mg sin θ) tries to move the object down.
• The element of force vertical to the inclined aeroplane ( mg cos θ) is balanced by the Normal force( N).

N = mg cos θ........( 1)

• When the object just begins to move, the static disunion attains its maximum value

f s = f m a x s = fs = fsmax

• This disunion also satisfies the relation f maxs
• fsmax = μs = mg sinθ.....( 2)

Equating the right hand side of equations( 1) and( 2),

• ( f m a x s fsmax)/ N = sin θ/ cos θ

From the description of angle of disunion, we also know that,

• tan θ = µs.......( 3)

In which θ is the angle of disunion.

• Therefore the angle of repose is the same as angle of disunion. But the difference is that the angle of repose refers to inclined shells and the angle of disunion is applicable to any type of face.

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