165k views
14 votes
The displacement of the tip of the 10 cm long minute hand of a clock between 12:15 AM anh 12:45 Pm is

User Markhogue
by
8.0k points

1 Answer

11 votes

Answer:

20 cm and 180° of angular displacement

Step-by-step explanation:

In this case, the displacement of a tip in an one hand clock is always twice the length of the hand, therefore:

D = 2 * L

D = 2 * 10

D = 20 cm

Now, we should note that from 12:15 am to 12;45 pm, the clock covers around 12.5 revolutions, and from here can calculate the angular distance:

AD = 12.5 * 360° = 4500°

And the angular displacement (A data you need to complement the displacement of the tip), is half a revolution so, if a revolution covers 360 ° then:

α = 1/2 * 360 = 180°

Hope this helps

User Denis Knauer
by
6.8k points