How Does Acceleration Affect a Car's Tire Rotation and Speed?

In summary: Then use the formula for angular acceleration, a = \omega_f - \omega_i / t, to solve for angular acceleration. Given the time and the radius of the wheels, you can then use the formula v = r\omega to find the linear velocity of the tires. In summary, to find the angular acceleration of a car with 30.0 cm tires accelerating at 0.75 m/s^2, you would first use the formula v = \omega r to find the angular velocity, then use the formula a = \omega_f - \omega_i / t to solve for angular acceleration. From there, you can use the formula v = r\omega to find the linear velocity of the tires.
  • #1
johnnyyy
2
0

Homework Statement


If a car with 30.0 cm tires is accelerating at 0.75 m/s^2, what is the angular acceleration? How fast will the tires be spinning from rest if the car accelerates for 1.50 minutes? And finally how fast will that be linearly?
T=90 seconds
R=.3 m

Homework Equations


Vt=rw

a=wf-wi/t

W=ø/t


The Attempt at a Solution



Homework Statement


Will a car traveling at exactly 20 mph around a corner have a tangential acceleration? Centripetal acceleration? Explain.


Homework Equations





The Attempt at a Solution

 
Last edited:
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  • #2
johnnyyy said:

Homework Statement


If a car with 30.0 cm tires is accelerating at 0.75 m/s^2, what is the angular acceleration? How fast will the tires be spinning from rest if the car accelerates for 1.50 minutes? And finally how fast will that be linearly?
T=90 seconds
R=.3 m

Homework Equations


Vt=rw

a=wf-wi/t

W=ø/t


The Attempt at a Solution



Homework Statement


Will a car traveling at exactly 20 mph around a corner have a tangential acceleration? Centripetal acceleration? Explain.


Homework Equations





The Attempt at a Solution

It is a poorly worded question, but it appears to be asking you to find the angular acceleration of the wheels, not the car.

AM
 
  • #3
you are given dv/dt, but you need to find d\omega/dt. Use v= \omega r
 

Related to How Does Acceleration Affect a Car's Tire Rotation and Speed?

1. What is tangential acceleration?

Tangential acceleration is the rate of change of an object's tangential velocity. It is the component of acceleration that is tangent to the object's circular motion.

2. How is tangential acceleration different from centripetal acceleration?

Tangential acceleration is the acceleration that is parallel to the object's velocity, while centripetal acceleration is the acceleration that is perpendicular to the object's velocity. Tangential acceleration is responsible for the change in speed, while centripetal acceleration is responsible for the change in direction.

3. How is tangential acceleration calculated?

Tangential acceleration can be calculated by dividing the change in tangential velocity by the change in time. It can also be calculated by multiplying the tangential velocity squared by the object's radius of circular motion.

4. What is the unit of measurement for tangential acceleration?

The unit of measurement for tangential acceleration is meters per second squared (m/s2).

5. How does tangential acceleration affect an object's motion?

Tangential acceleration can either increase or decrease an object's speed, depending on the direction of the acceleration. It is also responsible for causing an object to move in a circular path, as it continuously changes the object's velocity direction. Without tangential acceleration, an object would continue to move in a straight line at a constant speed.

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