Which direction will you face if you start facing
(a) East and make ½ of a revolution clockwise?
(b ) East and make 1 ½ of a revolution clockwise?
(c) West and make ¾ of a revolution anti-clockwise?
(d) South and make one full revolution?
(Should we specify clockwise or anticlockwise for this last question? Why not?)
Solution:
We will be using the concepts of Revolution and Clockwise and Anticlockwise rotation to solve this.
(a)If we start facing East and make ½ of a revolution clockwise, we will be facing the West direction.
1 revolution = 360 degrees
1/2 revolution = 180 degrees
Thus, we start from East, move 180 degrees clockwise and stop at West.
(b)If we start facing East and make 1 ½ revolution clockwise, we will be facing the West direction.
1 revolution = 360 degrees
1/2 revolution = 180 degrees
Hence, 1 ½ revolution = 360 + 180 = 1 revolution + another 1/2 revolution
Thus, we start from East, move 360 degrees clockwise to complete 1 revolution, and continue moving for another 180 degrees to cover 1/2 revolution and stop at West.
(c) If we start facing the West and make ¾ revolution anticlockwise, we will be facing the North direction.
1 revolution = 360 degrees
3/4 revolution = 270 degrees = 1/2 revolution + 1/4 revolution (180 degrees + 90 degrees)
Thus, we start from West, move 180 degrees anti-clockwise to complete 1/2 revolution till East, and continue moving for another 90 degrees to cover 1/4 revolution anti-clockwise and stop at North.
(d) It does not matter if we turn clockwise or anticlockwise, taking one full revolution will make it a full revolution and reach back to the starting position.
Thus, after 1 complete revolution that is 360 degrees, we stop at the same point from where we had started i.e, South.
NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.2 Question 3
Which direction will you face if you start facing (a) East and make ½ of a revolution clockwise? (b) East and make 1 ½ of a revolution clockwise? (c) West and make ¾ of a revolution anticlockwise? (d) south and make one full revolution? (Should we specify clockwise or anticlockwise for this last question? Why not?)
Summary:
(a) We will be facing the West direction if we start facing East and make ½ of a revolution clockwise (b) We will be facing the West direction if we start facing East and make 1 ½ revolution. (c) We will be facing the North direction If we start facing the West and make ¾ revolution anticlockwise. (d) It does not matter if we turn clockwise or anticlockwise, taking one full revolution will make it a full revolution and reach back to the starting position that is South.
☛ Related Questions:
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