What is the magnitude of the car’s acceleration on a circular bend?

In summary, at a certain instant, a car traveling counterclockwise along a circular bend with a radius of 180 m has a speed of 26 m/s and is slowing down at a rate of 1.0 m/s^2. The magnitude of the car's acceleration can be found by considering both centripetal and tangential acceleration, which can be calculated using the formula v^2/r and v^2/r, respectively.
  • #1
Fr3sherthanu
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A car is traveling counterclockwise along a circular bend in the road with an effective radius of 180 m. At a certain instant, the car’s speed is 26 m/s, but it is slowing down at a rate of 1.0 m/s2. What is the magnitude of the car’s acceleration?

I thought it was v^2/r but that isn't the answer apparently.
 
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Welcome to PF!

Hi Fr3sherthanu! Welcome to PF! :smile:

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Fr3sherthanu said:
I thought it was v^2/r but that isn't the answer apparently.

that's the centripetal acceleration

what about the tangential acceleration?​
 
  • #3
I don't even know what that is or how to go about finding that.
 
  • #5
I still don't know how to do it. But thanks for your help
 

FAQ: What is the magnitude of the car’s acceleration on a circular bend?

What is the magnitude of a car's acceleration?

The magnitude of a car's acceleration refers to the rate at which its velocity changes. It is typically measured in meters per second squared (m/s²) or feet per second squared (ft/s²).

How is the magnitude of a car's acceleration calculated?

The magnitude of a car's acceleration can be calculated by dividing the change in velocity by the change in time. This is represented by the formula: a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is the time interval.

What factors can affect the magnitude of a car's acceleration?

Several factors can affect the magnitude of a car's acceleration, including the power and efficiency of the engine, the weight and design of the car, and external forces such as friction and air resistance.

Why is the magnitude of a car's acceleration important?

The magnitude of a car's acceleration is important because it can affect the car's performance and handling. It can also impact the safety of passengers and other vehicles on the road. Understanding acceleration can also help improve the design and efficiency of cars.

How does the magnitude of a car's acceleration relate to its speed?

The magnitude of a car's acceleration is directly related to its speed. A higher acceleration will result in a faster increase in speed, while a lower acceleration will result in a slower increase in speed. This relationship is represented by the formula: v = at, where v is final velocity, a is acceleration, and t is time.

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