Force & Slope Question: Issues with (ii)

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In summary, the conversation discusses the calculation of force and torque needed to accelerate a wagon on an incline. The formula for force, F = ma, and the formula for force on an incline, Fw = mgsinangle, are mentioned. The conversation also touches on the importance of double-checking calculations and finding the correct values for angles. The speaker notes that the torque needed for the drum is the same as the total torque needed by the motor, just with different values.
  • #1
smr101
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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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  • #2
What's the force required to accelerate the wagon if there's no incline?
 
  • #3
Bystander said:
What's the force required to accelerate the wagon if there's no incline?

Without an acceleration, I'm not sure.
 
  • #4
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 ..."
 
  • #5
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?
 
  • #6
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.
 
  • #7
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
 
  • #8
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°?
 
  • #9
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.
 

FAQ: Force & Slope Question: Issues with (ii)

What is force and how is it related to slope?

Force is a physical quantity that describes the interaction between two objects. Slope, on the other hand, is a measure of the steepness of a line. Force and slope are related because force can cause an object to change its position, which can result in a change in slope.

What are some common issues that arise when dealing with force and slope?

Some common issues include incorrect calculations, missing data, and confusion between force and weight. It is important to double check all calculations and ensure that all necessary data is included in the analysis. Additionally, it is important to understand the difference between force and weight, as they are often used interchangeably but have different meanings in physics.

How do we measure force and slope?

Force is typically measured using a device called a force meter or force sensor. These devices can measure the magnitude and direction of a force. Slope, on the other hand, can be measured using a ruler or protractor to determine the change in height or angle of a line.

What are some real-world applications of force and slope?

Force and slope have many applications in our daily lives. For example, force is used in engineering to design structures that can withstand certain amounts of force. Slope is used in construction to ensure that roads and buildings have safe and stable inclines. Force and slope are also important in sports, as athletes must understand and utilize these concepts to perform at their best.

How can we use force and slope to make predictions?

By understanding the relationship between force and slope, we can use data and calculations to make predictions about the behavior of objects. For example, we can use the slope of a line to predict how an object will move under the influence of various forces. This can be useful in designing experiments and predicting outcomes in various scenarios.

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