1. Convert Units

* Speed: Convert kilometers per hour (km/hr) to meters per second (m/s):

* 400 km/hr * (1000 m/km) * (1 hr/3600 s) = 111.11 m/s (approximately)

2. Formula

The formula for centripetal acceleration is:

* a = v² / r

Where:

* a = centripetal acceleration (m/s²)

* v = speed (m/s)

* r = radius (m)

3. Calculation

* a = (111.11 m/s)² / 200 m

* a = 12345.67 m²/s² / 200 m

* a = 61.73 m/s² (approximately)

Therefore, the centripetal acceleration is approximately 61.73 m/s².