Force & Slope Question: Issues with (ii)

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SUMMARY

The discussion focuses on calculating the force required to accelerate a wagon from rest to 2.6 m/s over a distance of 8.2 m at constant acceleration, specifically addressing the torque calculations involved. The formula for force, F = ma, was applied, yielding a force of 787.2 N for acceleration. Additionally, the force required to move the wagon up a 10° incline was calculated using Fw = mgsin(angle), resulting in 3270.7 N. The participant clarified that torque calculations for the motor would use similar principles but with different values.

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I've worked out (i), having problems with (ii). I know that the torque will be force x 0.75 but I haven't had any success in working out the force in the first place.
 
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What's the force required to accelerate the wagon if there's no incline?
 
Bystander said:
What's the force required to accelerate the wagon if there's no incline?

Without an acceleration, I'm not sure.
 
smr101 said:
Without an acceleration, I'm not sure.
From the problem statement, "... accelerate the wagon from rest to 2.6 m/s over a distance of 8.2 m at constant acceleration ..."
 
Bystander said:
From the problem statement, "... accelerate the wagon from rest to 2.6 m/s over a distance of 8.2 m at constant acceleration ..."

Right I've got the acceleration but I'm not getting the correct force. You're saying the force needed to work out the torque is when there is no incline?
 
smr101 said:
when there is no incline?
No. You've got the force to do the acceleration? Can you calculate the force necessary to move the wagon up the incline? Add them.
 
Bystander said:
No. You've got the force to do the acceleration? Can you calculate the force necessary to move the wagon up the incline? Add them.

F = ma
= 1920 x 0.41
= 787.2

Fw = mgsinangle
= 1920 x 9.81 x sin10
= -10246.7
 
smr101 said:
= 1920 x 9.81 x sin10
= -10246.7
Don't just punch numbers into a calculator and blindly accept the number that comes out. What's the sin of 10°?
 
Bystander said:
Don't just punch numbers into a calculator and blindly accept the number that comes out. What's the sin of 10°?

Ah, I was in radians...

Fw = mgsinangle
= 3270.7
 
  • #10
Better.
 
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  • #11
Bystander said:
Better.

Then just add the Ff to that and the Fu I've got it... Thanks, I've made that much more difficult than it should have been!
 
  • #12
I'm assuming the torque needed for the drum, which would be used to calculate the total torque needed by the motor is the same? Just different values.
 

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