An automobile rounds a curve of radius 50.0 m on a flat road. The centripetal acceleration to keep the car on the curve is
3.92 m/s2. What is the speed necessary to keep the car on the
curve?

The speed that is necessary for keeping the car on the curve is 14 m/s.

Given that,

Based on the above information, the calculation is as follows:

We know that

Here a denotes the centripetal acceleration.

v denotes the speed.

And, r denotes the radius.

So,

= 14 m/s

Therefore we can conclude that the speed that is necessary for keeping the car on the curve is 14 m/s.

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14m/s

Explanation:

Given parameters:

Radius of the curve  = 50m

Centripetal acceleration  = 3.92m/s²

Unknown:

Speed needed to keep the car on the curve = ?

Solution:

The centripetal acceleration is the inwardly directly acceleration needed to keep a body along a curved path.

 It is given as;

      a =  

a is the centripetal acceleration

v is the speed

r is the radius

  Now insert the parameters and find v;

         v²   = ar

        v² = 3.92 x 50  = 196

         v  = √196 = 14m/s

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