Acceleration of a car when given torque and mass

AI Thread Summary
To calculate the acceleration of a car with a mass of 1200 kg and a torque of 2300 Nm, the correct approach involves understanding the relationship between torque, radius, and force. The force applied can be determined using the formula F = Torque / Radius, which gives approximately 7516.23 N when using a tire radius of 0.306 m. This force can then be used to find acceleration using Newton's second law, A = F/m, resulting in an acceleration of about 6.26 m/s². After accelerating for 11 seconds, the car's speed would be approximately 68.86 m/s. A solid grasp of torque's definition and its application is essential for solving such problems effectively.
lofty28
Messages
9
Reaction score
0
A car has a mass of 1200kg and delivers a total of 2300Nm of torque.
Tyre radius of 0.306m.
What is the acceleration of the car in m/s^2?
What is the speed of the car if it has accelerated for 11 seconds? (determained in first question),


I have looked at a few and still a bit stuck.
A=m*R
and then convert to m/s^2
or
W=(fcos theta)(d)

Attepted both and seem to still be getting the wrong answer..
A= 1200*0.306
= 367.2m/s^2

or
W=(2300cos45)(0.306*2)
= (1626.35)(0.612)
= 995.3262

As you can see i am well off the right answer. I am more incline to think it is the equation A=m*R...
Please help!
 
Physics news on Phys.org
lofty28,

How many Newtons of force are applied to the auto when when 2300n-m of torque are applied to a tire of 0.306m radius?

Ratch
 
Newtons of force... Would that be the mass...? soo 1200kg or 11767.98 N.
Is this what you mean?
 
lofty28,

Newtons of force... Would that be the mass...? soo 1200kg or 11767.98 N.
Is this what you mean?

In the MKS system, force is measured in Newtons, mass is measured in kilograms.

Ratch
 
All the information given in the question is what i posted before...
Is there any way that i can figure this out with the given information..?
Please help i am extremely stuck...

Thanks
 
lofty28,

Do you know what torque is?

Ratch
 
I have the understand torque is the mesument of power around a pivot point...
I am not entirly sure, this is proberbly why i am haveing trouble with the question..
 
lofty28,

You need to read a good physics book and find out what torque really is. Then the answer to my question in post #2 will become clear.

Ratch
 

Similar threads

I How does the mass of the wheels affect the car's acceleration?
Replies
15
Views
4K
When calculating a car's acceleration, is it ok to substitute Torque?
Replies
3
Views
911
Engineering A car on a hill - power of motor problem
Replies
15
Views
3K
Maximum torque required to turn the wheel along the vertical axis
Replies
9
Views
2K
Linear acceleration, Angular acceleration, tension.
Replies
9
Views
5K
Forces when car wheels "lay rubber"
Replies
5
Views
2K
MHB Work energy principle and power
Replies
4
Views
1K
Unreasonable values for engine torque in vehicle simulation
Replies
4
Views
1K
Gearbox and flywheel question, How to calculate input torque
Replies
6
Views
4K
What is the Input Torque for a Gearbox with Given Parameters?
Replies
2
Views
9K

Hot Threads

Recent Insights

Back
Top