The 1100 kg mass of a car includes four tires

  • #1
hitemup
81
2

Homework Statement



The 1100 kg mass of a car includes four tires, each of mass (including wheels) 35 kg and diameter 0.80 m. Assume each tire and wheel combination acts as a solid cylinder.
If the car is initially at rest and is then pulled by a tow truck with a force of 1500 N, what is the acceleration of the car?

Homework Equations


[/B]
F = ma
T = I*alpha
I = 1/2*m*r^2

The Attempt at a Solution


[/B]
It is apparent that doing acc = 1500/1100 leads to a wrong result. We must consider the tires and their accelerations. But I don't know how I can combine "ma" with "I*alpha" in the same equation, to solve for "a".
 

Answers and Replies

  • #2
Bystander
Science Advisor
Homework Helper
Gold Member
5,365
1,456
diameter 0.80 m
This bit of information, and the following bit
T = I*alpha
if put together correctly should help you.
 
  • #3
PeroK
Science Advisor
Homework Helper
Insights Author
Gold Member
2021 Award
22,162
13,568
Is the speed of the car not related to the rotational speed of the wheels?
 
  • #4
hitemup
81
2
This bit of information, and the following bit

if put together correctly should help you.

Yes the right hand side of that equation(T = I*alpha) is known, but I don't think the left side can be calculated simply by F*r. Is it the whole force that contributes to torque of a tire?
 
  • #5
Bystander
Science Advisor
Homework Helper
Gold Member
5,365
1,456
whole force that contributes to torque of a tire?
The angular moment of inertia resists the acceleration.
 
  • #6
22,071
5,031
Have you done a free body diagram on the car? How is the rate of rotation of the tires related to the linear speed of the car? Have you at least included the mass of the tires in the overall mass m of the car when applying F = ma.

Chet
 
  • #7
22,071
5,031
Have you done a free body diagram on the car? Is the ground exerting a force on the car? How is the rate of rotation of the tires related to the linear speed of the car? Have you at least included the mass of the tires in the overall mass m of the car when applying F = ma.

Chet
 

Suggested for: The 1100 kg mass of a car includes four tires

  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
13
Views
2K
  • Last Post
Replies
26
Views
4K
Replies
4
Views
16K
Replies
2
Views
4K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
10
Views
4K
  • Last Post
Replies
4
Views
983
  • Last Post
Replies
1
Views
4K
Top