Question

Sand is discharged at A from a conveyor belt and falls onto the top of a stockpile at B. Knowing that the conveyor belt forms an angle α = 25° with the horizontal, determine (a) the speed v0 of the belt, (b) the radius

Answer 1

Answer:

23. 8 ft/s

5 ft

Explanation:

Data:

Let the angle be $\alpha = 25$°

First, we set the components:

The x - components will be given by the following equation:

$V_{ix} = V_{i} cos 25 = 0.906V_{i}$

The y - components will be given by the following equation:

$V_{iy} = v_{i}sin 25 = 0.423v_{i}$

The vertical components given by:

$y_{f} - y_{i} = v_{iy} - \frac{1}{}gt^{2}$

horizontal components given by:

$x_{f} -x_{i} = v_{t} \\ 30 = v_{i} * 0.906t$

solving the equation gives, t = 2.45 s

Substituting the time into the components gives V = 23.8 ft/s

radius = 5 ft