Linear speed and magnitude of linear acceleration

In summary, the problem asks for the linear speed and magnitude of linear acceleration of different points on a car with 64.0-cm-diameter tires being driven at 75.0 km/hr on a level road, as seen by a passenger in the car and an observer on the side of the road. The rotational velocity of the wheels can be found using the equation v=ωr, but this is not needed for part (a). The next steps involve considering how the center of the wheel moves relative to the car.
  • #1
Hambone12
1
0

Homework Statement



A car with 64.0-cm-diameter tires is being driven down a level road at 75.0 km/hr. As seen by a person riding in the car (i.e. relative to the passenger), what are the linear speed and magnitude of the linear acceleration of a) the center of one of one of the wheels, b) a point at the top of the tire, c) a point at the bottom of the tire? For parts d), e), and f) answer the same questions for an observer standing on the side of the road.




Homework Equations



v=ωr

The Attempt at a Solution



So I found the rotational velocity of the wheels by using the previous equation. I am getting confused on ultimately where to even start the problem from, yet alone calculating the values from both observations. If anyone could offer some input on the next couple steps that would be greatly appreciated.
 
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  • #2
Which one of the questions are you talking about? For (a) you don't need this formula. It's only about linear quantities. How does the center of the wheel moves relative to the car?
 

What is linear speed?

Linear speed refers to the distance traveled by an object in a specific direction per unit of time. It is also known as the magnitude of velocity, which includes both the speed and direction of an object.

How is linear speed calculated?

Linear speed can be calculated by dividing the distance traveled by the time it takes to travel that distance. The formula for linear speed is: v = d/t, where v is the linear speed, d is the distance, and t is the time.

What is magnitude of linear acceleration?

Magnitude of linear acceleration is a measure of the rate at which an object's velocity changes over time. It is the amount of change in an object's velocity per unit of time.

How is magnitude of linear acceleration calculated?

Magnitude of linear acceleration can be calculated by dividing the change in an object's velocity by the time it takes for that change to occur. The formula for magnitude of linear acceleration is: a = (vf - vi)/t, where a is the magnitude of linear acceleration, vf is the final velocity, vi is the initial velocity, and t is the time.

What is the relationship between linear speed and magnitude of linear acceleration?

The relationship between linear speed and magnitude of linear acceleration is that they are both measures of an object's motion. Linear speed is the measure of how fast an object is moving, while magnitude of linear acceleration is the measure of how quickly that speed is changing. They are both important in understanding an object's motion and can be used to predict its future position.

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