Asked by Tushar Verma | 6th Jun, 2014, 10:52: AM

Expert Answer:

When a particle undergoes uniform circular motion, it has both linear and angular velocity.
The linear velocity is the velocity of particle at any instant (represented by u or v). It's direction at any point on the circle is along the tangent to that point.
The angular velocity is the rate of change of angle swept by the particle from centre with time (represented by Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.) .
Angular velocity Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '. = Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '. ,
where Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '. is the angle swept in 1 complete rotation (in radians) and T is the time taken for one complete rotation (Also called as Time period)
now the relationship between linear and angular velocity is Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.
where r is the radius of the circular path
substituting the value of Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '. in above relation.
v = r Syntax error from line 1 column 49 to line 1 column 72. Unexpected '<mstyle '.

Answered by Ravindra Kapal | 6th Jun, 2014, 01:42: PM

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