Question

A car experiences a centripetal acceleration of 4.9 m/s2 it rounds a corner with a speed of 16 m/s.
What is the radius of the corner?

Answer 1

Answer:

Given:

Centripetal acceleration = 4.9 m/s²

Velocity at corner = 16 m/s

To find:

Radius of the corner

Calculation:

$acc. = \frac{ {v}^{2} }{r}$

v => velocity

r => Radius

acc. => centripetal acceleration

$= > 4.9 = \frac{ {(16)}^{2} }{r}$

$= > r = \frac{ {(16)}^{2} }{4.9}$

$= > r = \frac{256}{4.9}$

$= > r = 52.24 \: metres$

Hence final answer is

$\boxed{ \green{radius = 52.24 \: m}}$

Answer 2

Answer: 52.24 m

Explanation:

Centripetal acceleration = $\frac{v^2}{r}$

  so     $4.9 =\frac{16^2}{r}\\r=\frac{16^2}{4.9} =52.24 m$