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Power/Work problem

  • Thread starter Lothar
  • Start date
  • #1
19
0

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
 

Answers and Replies

  • #2
LowlyPion
Homework Helper
3,090
4

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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