Vin diesel is filming yet another  fast and furious  movie. he is driving a 1200kg sports car around a circular track of 1.25km. if the magnitude of the centripetal force is 2600n, what is the car’s tangential speed?

20.73 m/s

Explanation:

The centripetal force is given by the following equation:

(1)

Where:

is the centripetal force

is the mass of the car

is the centripetal acceleration

Isolating :

(2)

(3)

(4)

Now, there is a relation between the centripetal acceleration and the tangential velocity:

(5)

Where is the tangential velocity and is the radius of the circular path, which can be found if we know its length :

(6)

(7)

(8)

(9)

Substituting (4) and (8) in (5)

(5)

Finding :

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