Vertical Force of Each Truck Wheel: 68670N

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Homework Help Overview

The problem involves calculating the vertical force exerted on the road by each wheel of a truck carrying a load, with a total mass of 28000 kg. The context includes the use of Newton's second law, F=ma, to determine the force based on mass and gravitational acceleration.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants attempt to calculate the total mass and then determine the force on each wheel by dividing the total weight by the number of wheels. There are questions about the correctness of the calculations and the interpretation of scientific notation.

Discussion Status

Some participants have provided guidance on the method of calculation, suggesting that finding the total mass and converting it to weight before dividing by four is a reasonable approach. There is an ongoing exploration of the calculations and assumptions, particularly regarding the representation of numbers in scientific notation.

Contextual Notes

There is a noted confusion regarding the representation of numbers in scientific notation, which may affect the calculations. Additionally, a new question about the effective thrust of a lorry starting from rest has been introduced, indicating a shift in the discussion focus.

fleur
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Homework Statement


A truck (mass 12000 kg) carries a load of 16000kg. What vertical force is exerted on the road by each wheel assuming the mass is uniformly spread?

Homework Equations


F=ma[/B]

The Attempt at a Solution


12000kg+16000kg=28000kg total mass
28000/4=7000kg to get mass on each wheel[/B]
F=ma 7000kgx9.81=68670 N
 
Last edited:
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fleur said:

Homework Statement


A truck (mass 1.2 x 104 kg) carries a load of 1.6 x 104 kg. What vertical force is exerted on the road by each wheel assuming the mass is uniformly spread?

Homework Equations


F=ma[/B]

The Attempt at a Solution


1.2 x 104 kg+1.6 x 104 kg=291.2kg total mass
291.2/4=72.8kg to get mass on each wheel[/B]
F=ma 72.8kgx9.81=714 N
Those numbers in the problem statement are given using scientific notation, although the powers of ten are missing the superscript for the exponents. So for the truck mass, for example, 1.2 x 104 kg should read: 1.2 x 104 kg, which is equivalent to 12000 kg.

Fix your starting numbers accordingly and retry your calculations.
 
gneill said:
Those numbers in the problem statement are given using scientific notation, although the powers of ten are missing the superscript for the exponents. So for the truck mass, for example, 1.2 x 104 kg should read: 1.2 x 104 kg, which is equivalent to 12000 kg.

Fix your starting numbers accordingly and retry your calculations.
I have made the changes is the method i used correct though?
 
I have another question and I have no clue on how to attempt this one

The lorry starts from rest with an acceleration of 2 ms-2.
What is the effective thrust is being exerted?
 
fleur said:
I have made the changes is the method i used correct though?
The method is okay and will deliver the correct result.

If it were me doing the problem I would probably find the total mass then convert that to total weight (multiply mass by g) before finally dividing by four to find the weight (force) supported by each wheel.
 
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fleur said:
I have another question and I have no clue on how to attempt this one

The lorry starts from rest with an acceleration of 2 ms-2.
What is the effective thrust is being exerted?
Please start a new thread for a new question.
 

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