What part of a revolution have you turned through if you stand facing
(a) east and turn clockwise to face north?
(b) south and turn clockwise to face east
(c) west and turn clockwise to face east?

To do :

We have to find the direction we face in each case.

Solution :

We know that,

1 revolution $= 360^o$

Therefore,

(a) If we start facing east and turn clockwise to face north, we will turn $270^o$ from the starting point.

This implies,

The fraction of revolution $=\frac{270^o}{360^o}$

$=\frac{3}{4}$ 

Therefore, we have turned $\frac{3}{4}$  of a revolution in this case.

(b) If we start facing south and turn clockwise to face east, we will turn $270^o$ from the starting point.

This implies,

The fraction of revolution $=\frac{270^o}{360^o}$

$=\frac{3}{4}$ 

Therefore, we have turned $\frac{3}{4}$  of a revolution in this case.

(c) If we start facing west and turn clockwise to face east, we will turn $180^o$ from the starting point.

This implies,

The fraction of revolution $=\frac{180^o}{360^o}$

$=\frac{1}{2}$ 

Therefore, we have turned $\frac{1}{2}$  of a revolution in this case.

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Updated on: 10-Oct-2022

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