Motion in A Plane

Physics Part I

Physics

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A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m/s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?

Speed of the cyclist, v = 27 km/h = 7.5 m/s

Radius of the circular turn,Â *r*Â = 80 m

Centripetal acceleration is,

Â Â Â

The question can be illustrated in the figure as shown below:

Consider, the cyclist begins cycling from point P and moves toward point Q.Â

At point Q, he applies the breaks and decelerates the speed of the bicycle by 0.5 m/s^{2}.Â

This acceleration is along the tangent at Q and opposite to the direction of motion of the cyclist.At point Q, he applies the breaks and decelerates the speed of the bicycle by 0.5 m/s

The angle betweenÂ a

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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.

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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors.Â

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What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.

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