Where will the hour hand of a clock stop if it starts at 7 and makes 3/4 revolution clockwise

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Last updated at Nov. 12, 2021 by Teachoo

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Next: Ex 5.2, 3 (b) Important →

Ex 5.2, 3 Which direction will you face if you start facing (a) east and make 1/2 of a revolution clockwise? If we go from East & make 1/2 revolution clockwise We will face West.

Solution:

1 complete revolution or full rotation, means a complete turn so it points back the same way.

Let's understand the concept of turning clockwise and anti-clockwise.

In one complete revolution, the clock hand moves 360° or 12 hours.

⇒ 1 revolution = 12 hours 

Using the unitary method, we have 

1/2 of a revolution = 12/2 = 6 hours

1/4 of a revolution = 12/4 = 3 hours

3/4 of a revolution = 3 × 12/4 = 9 hours

A) If the clock hand starts at 12 and makes 1/2 of a revolution, it would stop after 6 hours, that is, at 6 o'clock.

B) If the clock hand starts at 2 and makes 1/2 of a revolution, it would stop after 6 hours, that is, at 8 o'clock.

C) If the clock hand starts at 5 and makes 1/4 of a revolution, it would stop after 3 hours, that is, at 8 o'clock.

D) If the clock hand starts at 5 and makes 3/4 of a revolution, it would stop after 9 hours, that is, at 2 o'clock.

Therefore, a) The clock hand will stop at 6, b) The clock hand will stop at 8, c) The clock hand will stop at 8, d) The clock hand will stop at 2

Where will the hand of a clock stop if it: a) Starts at 12 and makes 1/2 of a revolution, clockwise? B) Starts at 2 and makes 1/2 of a revolution, clockwise? C) Starts at 5 and makes 1/4 of a revolution, clockwise? D) Starts at 5 and makes 3/4 of a revolution, clockwise? 

Summary:

a) The clock hand will stop at 6, b) The clock hand will stop at 8, c) The clock hand will stop at 8, d) The clock hand will stop at 2

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Question 9 Exercise 5.2

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Answer:

We know that one complete clockwise revolution, hour hand will rotate by 3600

(a) When hour hand of a clock starts at 12 and makes 1 / 2 revolution clockwise, it will rotate by 180°.

Hence, the hour hand of a clock will stop at 6.

(b) When hour hand of a clock starts at 2 and makes 1 / 2 revolution clockwise, it will rotate by 180°

Hence, the hour hand of a clock will stop at 8.

(c) When hour hand of a clock starts at 5 and makes 1 / 4 revolution clockwise, it will rotate by 90°

Hence, hour hand of a clock will stop at 8.

(d) When hour hand of a clock starts at 5 and makes 3 / 4 revolution clockwise, it will rotate by 2700

Hence, hour hand of a clock will stop at 2

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