Question

At what speed does a racing car move if its speed increases from 144 to 216 km / h in 6 seconds?​

Answer 1

Answer:

The Centripetal acceleration of a particle in uniform circular motion is:

a

c

=

R

v

2

(Where v= magnitude of velocity of particle, R=radius of circular path)

Now time for completing one loop(t)=20πs

Distance covered in one loop=2πR

So speed, v=

20π

2πR

m/s

⇒

20

2R

=25m/s (given: v=25m/s)

⇒R=250m

So centripetal acceleration will be

a

c

=

250

25

2

=

250

625

=2.5m/s

2

.