Question

A linear velocity of body 0.2 m/s.if it rotates in horizontal Circle having redius 0.5 m what is anglar velocity​

Answer 1

Answer:

• Angular velocity = 0.4 rad/s.

Explanation:

Given:

• Linear velocity (v) = 0.2 m/s
• Radius (r) = 0.5 m

To Find:

• Angular velocity

As we know, v = rω

Here, ω = angular velocity

Now, put the values in this formula we get,

⇒  v = rω

⇒ ω = v/r

⇒ ω = 0.2/0.5

⇒ ω = 0.4 rad/s.

Hence, angular velocity = 0.4 rad/s.

Extra Info:

Angular Velocity (ω):

⇒ The rate of change of angular displacement that is angle tressed by a particles in time interval 't' is called angular velocity.

$\tt{\implies \omega = \dfrac{\Delta \theta}{\Delta t}}$

$\tt{\implies \omega = \dfrac{lim}{\Delta t \longrightarrow 0}=\dfrac{\Delta \theta}{\Delta t}\;\;\;\;\Bigg(\dfrac{Radius}{sec.}\Bigg)}$

$\tt{\implies \Delta - d}$

${\boxed{\boxed{\tt{\implies \omega=\dfrac{d\theta}{dt}}}}}$

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