Question

A particle moves in a circle of the radius 25 cm at
two revolutions per second. The acceleration of the
particle in m/sec2 is :-​

Answer 1

Explanation:

Frequency of rotation

n

=

2

r

p

s

Angular velocity of the rotating particle

ω

=

2

π

n

=

4

π

rad/s

Radius of the circular path

r

=

25

cm.

So radial acceleration of the particle

a

radial

=

ω

2

r

=

(

4

π

)

2

⋅

25

=

400

π

2

c

m

s

−

2

=

4

π

2

≈

39.48

m

s

−

2