Problem

Will the acceleration of a car be the same when a car travels around a sharp curve at a constant 60 km/h as when it travels around a gentle curve at the same speed? Explain.

Step by step solution:

Step 1: How to get the centripetal acceleration easily? Well, If the object is moving on some circle with radius r with constant speed v, then it will pass the way s in some period of time Δt. It can be represented with a triangle:

Step 2:

Now it can be seen that from the two triangles above we can write

Also, it is known that the speed is defined as , acceleration may be defined as change od speed durring a period of time, or .

Step 3:

Considering above mentioned basic equations, we can express the s as: