Clocks

How will long path walk the end of the clock's minute-hand long 7 cm for 330 minutes? How long will walk in the same time hour-hand?

Correct answer:

minute hand walk:  241.9 cm
minute hand walk:  20.2 cm

Step-by-step explanation:

$s_m=2\pi \cdot {\displaystyle \frac{330}{60}}\cdot 7=241.9\text{ cm}$

$s_h=2\pi \cdot {\displaystyle \frac{330}{12\cdot 60}}\cdot 7=20.2\text{ cm}$

Try another example

Related math problems and questions:

• Clock
  What distance will pass end of 8 cm long hour hand for 15 minutes?
• Minute-hand
  How long distance will travel a large (minute) hand on the clock for 48 minutes, if its length is 56 cm?
• Minute hand
  What is the distance the minute hand of the clock travels in 12 minutes, if the diameter of the clock is 30 cm and the hand extends to a distance of 2 cm from the edge of the clock?
• Clocks
  How long track travel the second hand of a clock in 46 hours, which is 4 cm long.
• Clocks
  The length of the minute hand is 12 cm. What track in meters will its end point describe in a week?
• The small
  The small hand of the wall clock is 15 cm long. What a long journey the end of the hour hand in 15 minutes will describe. (b - in 2 hours)?
• Clocks
  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°?
• Little hand
  What angle shifted little hand on the clock after one hour and 38 minutes?
• Hands
  The clock shows 12 hours. After how many minutes will angle between the hour and minute hand 90°? Consider the continuous movement of both hands hours.
• Speed of clock
  In how many minutes will the hour hand pass a straight angle and a right angle?
• Walkers
  Walker, which makes 120 steps per minute, make distance from point A to point B for 55 minutes. The length of his step is 75cm. For how long does this distance go boy who will do 110 steps 60 cm long in a minute?
• Special watch
  Fero bought a special watch on the market. They have only one (minute) hand and a display that shows which angle between the hour and minute hand. How many hours was his watch shown - the minute hand points to number 2; the display shows 125°?
• Water flow 2
  How many litres of water will flow in 7 minutes from a cylindrical pipe 1 cm in diameter, if the water flows at a speed of 30 km per hour
• Clock hands
  The second hand has a length of 1.5 cm. How long does the endpoint of this hand travel in one day?
• The big clock
  The big clock hands stopped at a random moment. What is the probability that: a) a small hand showed the time between 1:00 and 3:00? b) the big hand was in the same area as a small hand in the role of a)? c) did the hours just show the time between 21:00
• Clock hands
  The hands-on clock shows the time 12 hours and 2 minutes. Calculate the size of an acute angle between clock hands three hours later.
• Saw
  Blade circular saw with a diameter 42 cm turns 825 times per minute. Expresses his cutting speed in meters per minute.