Question

train is travelling on a rail which is part of a circle of radius 600m, at a constant speed of 50m/s. what is the angular velocity of the train?

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

.

Explanation:

Answer 2

Explanation:

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

ac=Rv2(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=20π2πRm/s

⇒202R=25m/s (given: v=25m/s)

⇒R=250m

So centripetal acceleration will be

ac=250252=250625=2.5m/s2.