Question

a particle executes 400 revolutions in a minute along a circle of radius 20cm. Calculate linear velocity and angular velocity​

Answer 1

Answer:

Initial angular velocity of particle is ω

1

=

60

200π

rads

−1

Final angular velocity of particle is ω

2

=

60

800π

rads

−1

angular acceleration α=

T

ω

2

−ω

1

where T is total time which is equal to 5×60=300sec

⇒α=

300

60

800π

−

60

200π

=

300

10π

=

30

π

rads

−2

Tangential acceleration of the particle a=αr

where r is radius of the circle, r=

2

1

m

⇒a=

30

π

×

2

1

=

60

π

ms

−2

correct answer is D.