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A particle at the edge of a ratating dis...

A particle at the edge of a ratating disc speeds up at a uniform angular acceleration `prop`. If the radius of the disc is `R`, find the angular distance covered by the particle till its acquires a total acceleration `a_0`.

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To solve the problem, we need to find the angular distance covered by a particle at the edge of a rotating disc until it acquires a total acceleration \( a_0 \). The disc has a uniform angular acceleration \( \alpha \) and a radius \( R \). ### Step-by-Step Solution: 1. **Understand Total Acceleration**: The total acceleration \( a_0 \) of the particle in circular motion is the vector sum of tangential acceleration \( a_t \) and centripetal acceleration \( a_c \). This can be expressed as: \[ a_0^2 = a_t^2 + a_c^2 ...
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