Power Developed for Conveyor Belt Transporting Newspapers

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SUMMARY

The discussion centers on calculating the power developed by a conveyor belt transporting bundles of newspapers. The conveyor belt is 13.5 meters long and inclined at 30 degrees, moving 15 bundles per minute, with each bundle containing 26 newspapers weighing 1.0 kg each. The work done against gravity is calculated using the formula W = ΔPE = m*g*Δh, where Δh is determined to be 7.9 meters. By calculating the total work for 15 bundles and converting it to power, participants can derive the conveyor's power output accurately.

PREREQUISITES
  • Understanding of basic physics concepts such as work and power
  • Familiarity with gravitational potential energy calculations
  • Knowledge of trigonometric functions for calculating height
  • Ability to manipulate equations involving force and distance
NEXT STEPS
  • Calculate the total work done by the conveyor using W = m*g*Δh
  • Determine the power output using P = W/t for one minute of operation
  • Explore the impact of varying the incline angle on power requirements
  • Investigate conveyor belt efficiency and factors affecting performance
USEFUL FOR

Students in physics or engineering, mechanical engineers, and anyone involved in the design or analysis of conveyor systems will benefit from this discussion.

Lothar
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Homework Statement


A 13.5 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 26 newspapers per bundle. Determine the power that the conveyor develops if it delivers 15 bundles per minute.

Homework Equations


w = fd
w = fdcos(theta)
P = w/t

The Attempt at a Solution


I've tried several things getting incorrect answers of:
57.33
859.95
744.74
49.6
372.4
 
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Lothar said:

Homework Statement


A 13.5 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 26 newspapers per bundle. Determine the power that the conveyor develops if it delivers 15 bundles per minute.

Homework Equations


w = fd
w = fdcos(theta)
P = w/t

The Attempt at a Solution


I've tried several things getting incorrect answers of:
57.33
859.95
744.74
49.6
372.4

Welcome to PF.

Maybe focus on your last equation? If you figure the work performed in 1 minute you're just about home free right?

So what is the work of moving 1 newspaper to the top of the ramp?

W = ΔPE = m*g*Δh

where Δh = 13.8*sin30 = 1/2*13.8 = 7.9 m

Figure then the total work from 15*26 newspapers and that tells you how much for a minute, so getting to work/sec is really easy then.
 

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