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

AI Thread Summary
The discussion focuses on calculating the magnitude of a car's acceleration while it travels counterclockwise on a circular bend with a radius of 180 m and a speed of 26 m/s, while decelerating at 1.0 m/s². Participants clarify that the formula v²/r calculates centripetal acceleration, but the car's overall acceleration also includes tangential acceleration due to its deceleration. The need to understand both types of acceleration is emphasized, as they combine to determine the total acceleration. The conversation highlights the importance of distinguishing between centripetal and tangential acceleration in circular motion problems. Understanding these concepts is crucial for accurately solving the problem presented.
Fr3sherthanu
Messages
3
Reaction score
0
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.
 
Physics news on Phys.org
Welcome to PF!

Hi Fr3sherthanu! Welcome to PF! :smile:

(try using the X2 button just above the Reply box :wink:)
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?​
 
I don't even know what that is or how to go about finding that.
 
I still don't know how to do it. But thanks for your help
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Friction direction change in a inclined circular bend (car on a road)
Replies
11
Views
1K
Problem with the power of car
Replies
3
Views
867
Circular Motion of a Cyclist and a Car going around a bend in the road
Replies
6
Views
4K
Help with question on motion: Avoiding a rear-end collision
Replies
6
Views
3K
Car Rounding Curve: Acceleration Calculation with C=2piR
Replies
5
Views
2K
What is the apparent weight of a woman riding over a hump in a car?
Replies
6
Views
3K
Find magnitude of car's acceleration
Replies
5
Views
4K
Acceleration and velocity: Car and train problem
Replies
3
Views
4K
Magnitude of velocity and acceleration
Replies
40
Views
4K
Acceleration in uniform circular motion is uniform or non-uniform?
2
Replies
55
Views
3K

Hot Threads

Recent Insights

Back
Top