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The linear speed of a particle moving in...

The linear speed of a particle moving in a circle of radius `R` varies with time as `v = v_0 - kt`, where `k` is a positive constant. At what time the magnitudes of angular velocity and angular acceleration will be equal ?

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To solve the problem, we need to find the time \( t \) at which the magnitudes of angular velocity \( \omega \) and angular acceleration \( \alpha \) are equal. ### Step-by-Step Solution: 1. **Understand the relationship between linear speed and angular velocity**: The linear speed \( v \) of the particle is given by: \[ v = v_0 - kt ...
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