Angular motion problem involving a car coming to a stop

In summary, the car undergoes a constant deceleration of 1.90m/s^2, resulting in a final displacement of 37.89 meters. Using the equation Vf^2=Vi^2+2ad, we can calculate the number of revolutions of the tires by dividing the final displacement by the tire radius. This gives us a value of 94.725 radians or approximately 15.075 revolutions. However, if this answer is incorrect, it is recommended to check the math and ensure the correct number of significant figures are used.
  • #1
xregina12
27
0
The driver of a car traveling at 12.0 m/s applies the brakes and undergoes a constnant decelertion of 1.90m/s^2.
How many revolutions does each tire make before the car comes to a stop assuming that the car does not skid and that the tires of radii of 0.40 m? answer in units of rev.

I used the equation Vf^2=Vi^2+2ad
0=144+2(-1.90)(d)
d=37.89meters
d=r(θ)
θ=37.89/0.40=94.725 radians
revolutions=94.725/(2pi)=115.076 revolutions.
However, I did not get a correct answer. Can anyone help?
 
Physics news on Phys.org
  • #2
revolutions=94.725/(2pi)=115.076 revolutions.

Is this a typo? Check your math here.
 
  • #3
I meant to write 15.075 and it's still not right though.
 
  • #4
I don't see what's wrong with that answer. Are you using correct sig figs when you enter your answer?
 

1. How is angular motion defined?

Angular motion is the movement of an object along a circular path or rotation around an axis. It is described by its angular velocity, which is the rate of change of the angle of rotation over time.

2. How does a car's angular motion relate to its linear motion?

A car's angular motion is directly related to its linear motion. As the car brakes, its wheels slow down and the angular velocity decreases, causing the car to come to a stop. This decrease in angular velocity also results in a decrease in linear velocity, ultimately causing the car to come to a stop.

3. What factors affect a car's angular motion when coming to a stop?

The main factors that affect a car's angular motion when coming to a stop are the car's mass, the force applied by the brakes, and the coefficient of friction between the tires and the road. These factors can determine the amount of torque needed to stop the car's wheels from rotating and bring the car to a stop.

4. How does the distance traveled by a car during angular motion affect its stopping distance?

The distance traveled by a car during angular motion does not directly affect its stopping distance. However, the speed and velocity of the car, which are affected by the distance traveled, can have an impact on the car's stopping distance. The faster a car is traveling, the longer the stopping distance will be.

5. How can we calculate the angular velocity of a car coming to a stop?

The angular velocity of a car coming to a stop can be calculated by dividing the change in angle over a specific period of time. This can be done by measuring the car's initial angular velocity and the time it takes for the car to come to a stop. The final angular velocity can then be calculated by subtracting the initial velocity from the change in angle divided by the time interval.

Similar threads

Angular motion problem (wheels on a car coming to a stop)
    • Introductory Physics Homework Help
Replies
2
Views
3K
How to calculate angular speed?
    • Introductory Physics Homework Help
Replies
7
Views
2K
Calculate velocity of stopping car
    • Introductory Physics Homework Help
Replies
7
Views
1K
Circular Motion With Constant Angular Acceleration
    • Introductory Physics Homework Help
Replies
3
Views
2K
Car Crash Analysis: Analyzing Friction & Speed
    • Introductory Physics Homework Help
Replies
9
Views
3K
Angular Velocity and Acceleration
    • Introductory Physics Homework Help
Replies
10
Views
2K
Calculating Acceleration for a Car Stopping on a Dime: Kinematics Question Help
    • Introductory Physics Homework Help
Replies
7
Views
2K
Rotation w/constant angular acceleration
    • Introductory Physics Homework Help
Replies
2
Views
2K
Calculating Revolutions for a Spinning Wheel | Circular Motion Problem
    • Introductory Physics Homework Help
Replies
18
Views
2K
Calculating Flywheel Rotations in Angular Speed and Constant Acceleration
    • Introductory Physics Homework Help
Replies
10
Views
1K

Hot Threads

Recent Insights

Back
Top