A turn of radius 600 m is banked for a vehicle of mass 200 kg going with a speed of `180kmh^(-1)` . Determine the banking angle of its path.

Explanation

To determine the banking angle of a turn for a vehicle, we can follow these steps:

### Step 1: Convert the speed from km/h to m/s
The speed of the vehicle is given as \(180 \, \text{km/h}\). To convert this to meters per second, we use the conversion factor \( \frac{5}{18} \).

\[ v = 180 \times \frac{5}{18} = 50 \, \text{m/s} \]
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