A particle moves in a circle of radius 20 cm. Its linear speed is given by v=2t, where t is in second and v in metre/ second. Find the radial and tangential acceleration at t=3s.

Explanation

To solve the problem, we need to find the radial and tangential acceleration of a particle moving in a circle of radius 20 cm, with a linear speed given by \( v = 2t \) (where \( t \) is in seconds). We will calculate these accelerations at \( t = 3 \) seconds.

### Step-by-Step Solution:

1. **Convert Radius to Meters:**
The radius \( R \) is given as 20 cm. To convert this to meters:
\[
R = 20 \, \text{cm} = \frac{20}{100} \, \text{m} = 0.2 \, \text{m}
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