Question

For a uniform circular motion show that: (i) v = rw (ii) a = rw2​

Answer 1

Answer:

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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Explanation:

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