Question

A particle travels in a circle of radius 20 cm at a speed which is increasing uniformly. If the speed changes from. 5m/s to 6 m/s in 2 sec , find angular acceleration

Answer 1

Answer ) -» As the speed increases uniformly , the average tangential acceleration is equal to instantaneous tangential acceleration .



instantaneous tangential acceleration = $\bold{a_{t} =\frac{v2-v1}{t2-t1}}$


$= > \: \: \: \: \: \: \: \: \frac{6 - 5}{2}$

=> 0.5 m/s^2



Angular Acceleration :

=> $\bold{\alpha = a_{t} / r}$


=> 0.5 / 20


Ans. => 2.5 rad/s^2.

Answer 2

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