The radius of curbature of a road is 60 m. if the angle of banking is ` 27^(@)` find the maximum speed with which a vehicle can turn safely along this curve.

Explanation

To find the maximum speed with which a vehicle can turn safely along a banked curve, we can use the formula derived from the physics of circular motion on a banked road. The formula is given by:

\[ v_{\text{max}} = \sqrt{R g \tan \theta} \]

where:
- \( v_{\text{max}} \) is the maximum speed,
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