Circle practice problems - page 11 of 51
Number of problems found: 1002
- Z5–I–4 MO 2017 Badminton
Eve and Mark were playing badminton and Viktor counted their rallies. After every 10 rallies, Viktor drew a cross (X). Then, instead of every 10 crosses, he drew a circle (O) and erased the corresponding 10 crosses. When Eve and Mark finished the game, Vi - Revolutions - wheels
The tractor's rear wheel has a diameter of 1.6 m, and the front wheel is 96 cm. What ratio are the numbers of their revolutions? How many times does the front wheel turn, and how many times does the rear wheel turn on a track 1942 m long? - A bug
A bug was sitting on the tip of a wind turbine blade that was 24 inches long when it started to rotate. The bug held on for five rotations before flying away. How far did the bug travel before it flew off? Exact answer. - Equator hoop
The equator is approximately 40,000 km long. What would be the gap between an imaginary hoop 40001 km long and the ground? Would a mouse crawl under it? - Clock hands
The hands-on clock shows the time as 12 hours and 2 minutes. Three hours later, calculate the size of an acute angle between the clock hands. - Gear
Two meshing gears have a gear ratio of 1:2. The distance between their centres is 96 cm. What are the radii of each gear? - Wire
Each pass of a wire through a drawing die reduces its diameter by 13%. What will the diameter of a wire be after 6 passes, if it starts with a diameter of 6 mm? - Saw
Imagine that the saw blade with a diameter 35 cm has one tooth colored with a different color. How long does the tooth's tip describe the path after 6 minutes if the blade is rotated 5490 times? - Diameter of cent coins
In what proportion are the diameters of these coins: 10 cents-diameter 19.75 mm 20 cents-diameter 22.25 mm 50 cents-diameter 24.25 mm - Bracelet wire length
Rachel wants to model a round bracelet with a diameter of 8 cm from copper wire. About how much wire does he need to make it if he needs to add 15% of its length to the eyelets? (π = 3.14) - Turn radius
What is the smallest radius a turn must have for a car to enter safely without exceeding a speed of 50 km/h? The coefficient of shear friction between the tires and the surface is 0.4. - Gear rotation
Four gears with 21, 49, 35, and 14 teeth mesh together. If one of them rotates, the other also rotates. How many times does each rotate before returning to their position at the start? - Ferris wheel speed
The Ferris wheel in London has a diameter of 135 meters, and one turn takes about 30 minutes. At what speed per second do the cabins move around the perimeter of the London London Eye? - Aluminum disc waste
The aluminum disc has a diameter of 96 mm. 10 discs are cut from a sheet metal sheet 1 m long and 10 cm wide. What% is waste? - Gear turn calculation
Two gears – one smaller and one larger rotate so that the teeth of both wheels mesh together. The first wheel has 18 teeth, the second 27. How many times does each wheel turn before returning to its starting position? - Washer
A washing machine drum spins at 64 RPM. The motor pulley has a diameter of 6 cm. What must be the diameter of the drum pulley if the motor runs at 367 RPM? - Constant Angular Acceleration
The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int - Drill bit
Bill's 3/8-inch drill bit is missing and needed for a job. He can get by with drilling a smaller hole than 3/8-inch as long as it is as close to 3/8-inch as possible. Which of the following bits would be the best to use? A. 13/32 inch B. 23/64 inch C. 1/2 - Snowman
In a circle with a diameter of 40 cm are drawn three circles (as a snowman) where: its diameters are integers, each larger circle diameter is 2 cm larger than the diameter of the previous circle. Determine the snowman height if we wish for the highest sno - On a
Someday, the Sun, Venus, and the Earth will be in eclipse, i.e., Venus will be between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again?
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