Question

The minute hand of an analog clock rotates 360 per hour, while the hour hand rotates at 30 per hour.

What is the angle of rotation of the min hand over 40 min?__degrees

What is the angle of rotation of the hr hand over 40 min?__degrees

Answer 1

The minute hand of an analog clock completes one full rotation of 360 degrees in 60 minutes, so in 1 minute it rotates:

360 degrees / 60 minutes = 6 degrees/minute

Therefore, in 40 minutes, the minute hand rotates:

6 degrees/minute x 40 minutes = 240 degrees

So the angle of rotation of the minute hand over 40 minutes is 240 degrees.

The hour hand of an analog clock completes one full rotation of 360 degrees in 12 hours, which is equivalent to 720 minutes. Therefore, in 1 minute, the hour hand rotates:

360 degrees / 720 minutes = 0.5 degrees/minute

Therefore, in 40 minutes, the hour hand rotates:

0.5 degrees/minute x 40 minutes = 20 degrees

So the angle of rotation of the hour hand over 40 minutes is 20 degrees.