At what time after 12 noon will the hour hand and minute hand of the clock first form an angle of 120?
Table of Contents
- 1 At what time after 12 noon will the hour hand and minute hand of the clock first form an angle of 120?
- 2 At what time are the hour and minute hands of a 12 hour?
- 3 At what times does the hour and minute hand overlap?
- 4 How many time does an hour hand in 12 hour clock rotate a day?
- 5 When does the hour hand move past 1 o’clock?
- 6 How to calculate the angle between the hands on a clock?
At what time after 12 noon will the hour hand and minute hand of the clock first form an angle of 120?
The hour hand moves 0.5° per minute. The minute hand moves 6° per minute. At 8:00, the minor angle between hands is 120°.
At what time are the hour and minute hands of a 12 hour?
We know that the minute and hour hand coincide every 65 minutes and not 60 minutes. Also, the hour and minute hand coincide only once between 11 and 1 o’clock i.e. at 12 o’clock. So, from both the above statements we can say that the two hands coincide exactly 11 times in a 12 hour span.
What is the time after 12th?
24-hour clock
| 24-hour clock | 12-hour clock |
|---|---|
| 11:00 | 11:00 a.m. |
| 12:00 | 12:00 noon 12:00 p.m. |
| 13:00 | 1:00 p.m. |
| 14:00 | 2:00 p.m. |
How many minutes after 3 00 Will the minute hand of the clock overtakes the hour hand?
Sol: At 3 O’clock, the relative distance between the hour and the minute hand is 15 minutes. To catch up with the hour hand, the minute hand has to cover a relative distance of 15 minutes at the relative speed of 11/12 minutes per minute. Thus, time required = 15/(11/12) = 15 × 12/11 = 180/11 = 16 4/11 min.
At what times does the hour and minute hand overlap?
Let’s see…the hands overlap exactly at noon and midnight, so that’s two right there. They’re not exact, but the hands would also overlap near 1:05, 2:10, 3:15, 4:20, 5:25, 6:30, 7:35, 8:40, 9:45, 10:50 and 11:55 twice each day.
How many time does an hour hand in 12 hour clock rotate a day?
Hence, an hour hand rotates 2 times in a day.
How soon after noon will the hands of the clock be together again?
Thus, the hour and minute hands will again be coincident at 1:05:27.27 PM.
How long does it take for the minute hand to pass the hour hand?
The hands will meet again when the angle between them reaches 360o. In an hour, the minute hand covers 330o more than the hour hand. Therefore, the angle between the hands increases at the rate of 330o per hour. They meet after 360: 330/hr = 12/11 hours or 1 hour 5 5 /11 minutes.
When does the hour hand move past 1 o’clock?
As we dealt with in puzzle #5by the time the minute hand gets to five past one the hour hand will have moved slightly past 1 o’clock. The hour hand after all does not wait at 1 o’clock for an hour but rather it moves to 2 o’clock over the course of the next hour.
How to calculate the angle between the hands on a clock?
Calculate determines the angle between the hands on a clock using clock angle calculator. Just select the time in an hour and minutes. Every 60-second, minute hand moves his position, then there is an angle between both hands hour and minute. *If you liked it then please provide feedback with your experience.
What is the difference between the minute hand and hour hand?
The minute hand is 12 times faster than the hour hand. If you think of the time passing from 12:00 o’clock to 1 o’clock, the minute hand travels 360 degrees. On the other hand the hour hand travels 1/12 of 360 degrees.
How many degrees does the hour hand travel in minutes?
On the other hand the hour hand travels 1/12 of 360 degrees. Or in a different thinking, in a specific time period (t) minutes, the minute hand travels (360 * t) / 60 degrees But at the same time the hour hand only travels 1/12 of that degree: (360 * t) / (60 * 12) degrees.