Question

A 12.0 m long conveyor belt, inclined at 30.0°, is used to transport bundles of newspapers from the mailroom up to the cargo bay to be loaded on to delivery trucks. Each newspaper has a mass of 1.0 kg, and there are 25 newspapers per bundle. Determine the power that the conveyor develops if it delivers 15 bundles per minute.

Answer 1

Answer:

Power = 367.5 Watts

Step-by-step explanation:

Given:

Length of conveyor belt = 12.0 m

Conveyor inclination = 30.0°

Mass of each news paper = 1.0 kg

Each bundles = 25 news paper

Solution:

Mass of each bundle to transport m $= 25\times 15 = 375\ kg$

Inclination of the conveyor belt h = (Length of the conveyor belt) (Sin(30.0°))

$h = 12.0\times Sin(30) = 12\times \frac{1}{2}$

$h = 6\ m$

$g = 9.8\ m/s$

Using power formula.

$Power =\frac{Energy}{Time}$

$Power =\frac{m\times g\times h}{t}$

Substitute all values in above equation.

$Power =\frac{375\times 9.8\times 6}{60}$

$Power =\frac{22050}{60}$

Power = 367.5 Watts

Therefore, Conveyor must have 367.5 Watts to delivers 15 bundle per minute.