Question

An object moves in circular orbit with 5 rad/s. If the linear speed of particle is 25m/s the radius of
circle is
a) 0,2in
b) 0.4m
c) 5m
d) 125m​

Answer 1

Answer:

5m.

Explanation:

angular speed=5 rad/s

linear speed=25 m/s

ang. speed*radius=leniar speed

=>5*radius=25

=>radius=5m.

Answer 2

Answer:

Correct answer is option no (c) 5 m.

Radius of circular orbit is 5 m.

Explanation:

Given,

v = 25 m/s

w = 5 rad/s

The relation between linear velocity (v) and angular velocity (w)

v = rw

r = v/w

r = 25/5 m

r = 5 m

Here,

v is the linear velocity.

w is the angular velocity.

r is the radius of circular orbit.

Hence,

Radius of circular orbit is 5 meter.

ANGULAR VELOCITY

• Rate of change of angular displacement is called angular velocity.
• It is an axial vector.
• Si unit of angular velocity is radian/second.