Question

A particle moves in a circle of radius 0.5m with angular

speed of 4 radian per second its linear speed is

Answer 1

Answer:

v=r.angular speed

v=0.5×4

= 2 m/s

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Answer 2

Given:

• The radius of the particle = 0.5 m
• The angular speed of the particle = 4 rad/s

To Find:

• The linear speed of the particle.

Solution:

The formula to find the linear speed of the particle is given by,

⇒ v = rω → {equation 1}

Where "v" is the linear speed, "r" is the radius, and "ω" is the angular speed.

Now substitute the values from the given data in equation 1. We get,

⇒ v = 0.5×4 = 2 m/s { multiplying the values}

∴ The linear speed of the particle = 2 m/s.