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A race car is moving on a circular track with a radius of 50km. If the cars speed is 70km/hr, determine the magnitude of the centripetal acceleration

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Final answer:

The magnitude of the centripetal acceleration of the car is 196 km/hr^2.

Step-by-step explanation:

The magnitude of the centripetal acceleration of a race car moving on a circular track can be calculated using the following formula:

Centripetal Acceleration (a) = (v^2) / r

Where v is the speed of the car and r is the radius of the track.

Using the given values, the centripetal acceleration of the race car is:

a = (70 km/hr)^2 / 50 km

Simplifying the equation, we get:

a = 9800 km^2/hr^2 / 50 km

Finally, simplifying the units, the centripetal acceleration is:

a = 196 km/hr^2

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