Time + angle - examples
How many times a day hands on a clock overlap?
- Minute angle
Determine size of angle, which takes minute hand for 90 minutes.
- Minute hand v2
In how many minutes describe the minute hand angle 60 degrees?
The clock shows 12 hours. After how many minutes will agle between hour and minute hand 80°? Consider the continuous movement of both hands hours.
- Little hand
What angle shifted little hand on the clock after one hour and 38 minutes?
- Clock hands
The hands on the clock shows the time 12 hours and 2 minutes. Calculate the size of a sharp angle between clock hands three hours later.
What distance will describe the tip of minute hand 6 cm long for 20 minutes when we know the starting position with finally enclose hands each other 120°?
How long distance will travel a large (minute) hand on the clock for 39 minutes, if its length is 33 cm?
How long path will walk the end of the clock's minute-hand long 24 cm for 110 minutes? How long will walk in the same time hour-hand?
- Two cyclists
Two cyclists started from crossing in the same time. One goes to the north speed 20 km/h, the second eastward at speed 26 km/h. What will be the direct distance cycling 30 minutes from the start?
- Clock Tower
What angle is betwenn hands on Clock Tower when show 17 hours and 35 minutes?
- Circular motion
Mass point moves moves uniformly in a circle with radius r = 3.2 m angular velocity ω = 4.3 rad/s. Calculate the period, frequency, and the centripetal acceleration of this movement.
What distance will pass end of 8 cm long hour hand for 15 minutes?