Question

prove v=rw where v is is linear speed w is angular velocity and r is the radius of the radius of circular Path​

Answer 1

The ways to prove the above relation ,  is by considering a very small time interval and integrating at last (standard procedure ) a sshown below :

Explanation:

Uniform Circular Motion (UCM) :-

Motion of particle along the circumference of circle with constant speed is called as uniform cirular motion.

Relation between Linear Velocity and Angular Velocity :-

Length (arc) = Ф  radius

ds = dФ × r  (in vector form)

ds/dt= dФ/dt × r

∴v= ω×r

It is vector relation between linear and angular velocity

∫v =∫ω×r∫

v = ωr sinФ

∴v=rω   {Ф≈90°}

It is scalar realtion between linear and angular velocity

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Answer 2

Answer:

g

Explanation:

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