A circular track of radius 600 m is tio be designed for cars at an average speed of 180 km/hr. What should be the angle of banking of the track?

Explanation

To find the angle of banking of a circular track for cars moving at an average speed of 180 km/hr with a radius of 600 m, we can follow these steps:

### Step 1: Convert the speed from km/hr to m/s
To convert the speed from kilometers per hour to meters per second, we use the conversion factor \( \frac{5}{18} \).

\[ \text{Speed in m/s} = 180 \, \text{km/hr} \times \frac{5}{18} = 50 \, \text{m/s} \]
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