Rotational motion of a car's tires

In summary, a car accelerates uniformly from rest to a speed of 19.0 m/s in 7.00 s. The diameter of its tire is 64.0 cm. To find the number of revolutions the tire makes during this motion, we can divide the distance travelled by the perimeter of the tire. For the final rotational speed of the tire in revolutions per second, we can divide the speed of one point on the tire by the time it takes to travel around the tire and return to its original position.
  • #1
ryanl
1
0
A car accelerates uniformly from rest and reaches a speed of 19.0 m/s in 7.00 s. The diameter of a tire is 64.0 cm.

(a) Find the number of revolutions the tire makes during this motion, assuming no slipping.

(b) What is the final rotational speed of a tire in revolutions per second?


How do I set this up?

Thank you.
 
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  • #2
just think abotu this one for a sec... its not too hard.. kinda basic ... have you tried it yet?
 
  • #3
Let's play 20 questions. :biggrin:

(a) Can you find the distance that the car travels during its acceleration? Can you find the perimeter of the tire? Can you tell how many times the perimeter fits inside the distance the car travelled?

(b) Do you know what the speed of a certain point on the tire is? Can you find how much time it takes that point to travel all around the tire and return to its original position? Can you now tell how many times it could do so in one second?
 

1. How does the rotational motion of a car's tires affect its movement?

The rotational motion of a car's tires is responsible for propelling the car forward and maintaining its stability while in motion. As the tires rotate, they create friction with the road, which allows the car to move forward. Additionally, the rotation of the tires helps to keep the car stable by providing traction and preventing slipping or skidding.

2. What factors affect the rotational motion of a car's tires?

The rotational motion of a car's tires can be affected by several factors, including the size and shape of the tires, the tread pattern, and the pressure of the air inside the tires. The type of surface the car is driving on, such as wet or dry pavement, can also impact the rotational motion of the tires.

3. How does the rotational motion of a car's tires impact fuel efficiency?

The rotational motion of a car's tires can significantly impact fuel efficiency. Tires that are properly inflated and have a good tread pattern will rotate more efficiently, resulting in less friction and resistance. This means the car will require less energy to move forward, ultimately leading to better fuel efficiency.

4. Can the rotational motion of a car's tires affect its handling?

Yes, the rotational motion of a car's tires can affect its handling. The rotation of the tires helps to maintain the car's stability and allows it to turn and corner smoothly. If the tires are not properly inflated or have worn treads, the handling of the car can be negatively affected, making it more difficult to control.

5. How can the rotational motion of a car's tires be measured?

The rotational motion of a car's tires can be measured using a variety of methods, such as a speedometer, odometer, or GPS device. The rotation speed can also be calculated using the circumference of the tire and the car's speed. Additionally, specialized equipment can be used to measure the torque and forces acting on the tires during rotation.

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